We investigate how a uniformly rotating frame is defined as the rest frame of an observer rotating with constant angular velocity Ω around the z axis of an inertial frame. Assuming this frame to be a Lorentz one, we second quantize a free massless scalar field in the rotating frame and obtain that creation-annihilation operators of the field are not the same as those of an inertial frame. This leads to a new vacuum state—a rotating vacuum. After this, introducing an (...) apparatus device coupled linearly with the field, we obtain that there is a strong correlation between the number of Trocheries-Takeno particles (in a given state) obtained via canonical quantization and the response function of the rotating detector. Finally, we analyze polarization effects in circular accelerators in the proper frame of the electron, making a connection with the inertial frame point of view. (shrink)

A rotating disk with angular acceleration is given a relativistic description as observed from the rotating rest frameR of the disk. It is shown how a non-Euclidean intrinsic spatial geometry develops inR, as the disk gets an angular velocity. The explanation of this as given by anR-observer is discussed. A recent description of the geometry inR presented by Grünbaum and Janis is criticized. The motion of light as described by use of coordinate clocks inR is discussed in connection with some (...) recent work by R. C. Jennison and coworkers. The significance of the difference between directed signals and circular waves when clocks inR are to be synchronized by means of light emitted from the axis inR is made clear. (shrink)

The subject matter of the article is a standard cosmological model of the Universe. Contemporary opinion regarding origin, structure, and evolution of the Universe is of great interest. The answer to the question of the Universe origin is given by the Big Bang Theory. Is it possible to be sure in this theory correctness, which persuading of the Universe origination from the singularity fluctuation, when the World had appeared from nowhere, that is from abstract nothingness, further accelerated expansion of the (...) Universe following the Big Bang, and its development up to present with inexplicable source of energy for that. However, in the extreme end of the meta-universe the speed of stellar formations runaway is about the light velocity. Further, there is a new problem, the finiteness of the Universe. There are two counter-opinions, if the expanding Universe is finite or infinite. A very important question arises here, the question regarding isolatedness of the Universe as a system. The problem of the Universe heat death is closely connected with it. For this reason it is the time to discuss the Universe entropy. There is a short description of notions and problems with reference to this branch of knowledge, as well as of Doppler and Ritz effects alongside with Habble Law. The authors’ detailed interpretation of an entropy is also suggested. The analysis of the existing model is followed by the idea of the authors about the Universe organization. The style of the article is popular-science. In the first part of the article the existing concept of the Expanding Universe Theory and the dynamical Friedmann-Lemaitre models are described; it deals with the existing concept of the Big Bang Theory as well as the dark energy and the dark matter notions. In the second part the author gives detailed interpretation of an entropy. In the last part the problem of theoretical basis and fact nonconformity within the Expanding Universe Model Theory and the authors’ idea about the Universe organization are considered. (shrink)

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each single-particle spin-component eigenfunction in the plane normal to the spin-quantization axis, is exchanged along with the other parameters. The spin factor (−1)2s belongs to the exchange wave function when this function is constructed so as to get the spinor ambiguity under control. (...) This is achieved by effecting the exchange of the azimuthal angle by means of rotations and admitting only rotations in one sense. The procedure works in Galilean as well as in Lorentz-invariant quantum mechanics. Relativistic quantum field theory is not required. (shrink)

ABSTRACT A new algebraic construction -called rotation- is introduced in this paper which from any left-continuous triangular norm which has no zero divisors produces a left-continuous but not continuous triangular norm with strong induced negation. An infinite number of new families of such triangular norms can be constructed in this way which provides a huge spectrum of choice for e.g. logical and set theoretical connectives in non-classical logic and in fuzzy theory. On the other hand, the introduced construction brings us (...) closer to the understanding the structure of these connectives and the corresponding logics. From the application point of view, results of this paper can be especially useful in the field of non-classical logic, fuzzy sets, and fuzzy preference modeling. (shrink)

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each single-particle spin-component eigenfunction in the plane normal to the spin-quantization axis, is exchanged along with the other parameters. The spin factor 2s belongs to the exchange wave function when this function is constructed so as to get the spinor ambiguity under control. (...) This is achieved by effecting the exchange of the azimuthal angle by means of rotations and admitting only rotations in one sense. The procedure works in Galilean as well as in Lorentz-invariant quantum mechanics. Relativistic quantum field theory is not required. (shrink)

This paper is the continuation of [11] where the rotation construction of left-continuous triangular norms was presented. Here the class of triangular subnorms and a second construction, called rotation-annihilation, are introduced: Let T1 be a left-continuous triangular norm. If T1 has no zero divisors then let T2 be a left-continuous rotation invariant t-subnorm. If T1 has zero divisors then let T2 be a left-continuous rotation invariant triangular norm. From each such pair the rotation-annihilation construction produces a left-continuous triangular norm with (...) strong induced negation. An infinite number of new families of such triangular norms can be constructed in this way, and this further extends our spectrum of choice for the proper triangular norm e.g. in probabilistic metric spaces, or for logical and set theoretical connectives in non-classical logic, or e.g. in fuzzy sets theory and its applications. On the other hand, the introduced construction brings us closer to the understanding of the structure of these operations. (shrink)

This paper concerns late 1920 s attempts to construct unitary theories of gravity and electromagnetism. A first attempt using a non-standard connection—with torsion and zero-curvature—was carried out by Albert Einstein in a number of publications that appeared between 1928 and 1931. In 1929, Tullio Levi-Civita discussed Einstein’s geometric structure and deduced a new system of differential equations in a Riemannian manifold endowed with what is nowadays known as Levi-Civita connection. He attained an important result: Maxwell’s electromagnetic equations and the gravitational (...) equations were obtained exactly, while Einstein had deduced them only as a first order approximation. A main feature of Levi-Civita’s theory is the essential use of the Ricci’s rotation coefficients, introduced by Gregorio Ricci Curbastro many years before. We trace the history of Ricci’s coefficients that are still used today, and highlight their geometric and mechanical meaning. (shrink)

A thought experiment is reviewed which shows two things. First, in a region of a rotating frame that is not simply connected, the inertial forces can be canceled without completely canceling the inertial vector potential (whose curl determines the Coriolis force); second, the presence of this uncanceled potential can be detected in a quantum interference experiment. It is then argued that the thought experiment was realized in an earlier experiment involving a rotating superconductor, and that the experimental results confirm (...) the theoretical prediction. In this way, the first experimental verification of a physical effect due to a nonelectromagnetic potential in a force-free region is established. An analogous experiment for the gravitational vector potential is also discussed. Finally, it is pointed out that the close connection between electromagnetic and inertial vector potentials provides an intuitive way to make predictions about rotating superconductors. (shrink)

The present study aimed to examine the neural mechanisms underlying the ability to process the mental rotation with mirrored stimuli for different depressive tendencies with psychomotor retardation. Using functional near-infrared spectroscopy, we measured brain cortex activation of participants with higher and lower depressive tendencies while performing a left-right paradigm of object mental rotation or a same-different paradigm of subject mental rotation. Behavioral data revealed no differences in reaction time and rotation speed. The fNIRS data revealed a higher deactivation of oxyhemoglobin (...) change for the higher depression group in the perceptual stage of object mental rotation with mirrored stimuli in the superior external frontal cortex, inferior frontal gyrus, premotor cortex, and primary motor cortex. In addition, there existed a significant difference between the two groups in premotor cortex in subject mental rotation with mirrored stimuli. These results suggest that the neural mechanism of higher depression individuals connected with psychomotor retardation exists in the frontal and motor areas when processing object mental rotation with mirrored stimuli, and the motor cortex when processing subject mental rotation. (shrink)

An interesting connection between special relativity and quantum mechanics was put forward by Louis de Broglie, about 60 years ago, who focused on the link between synchronization in a rotating frame and the quantization of the angular momentum. Here we generalise his approach to curved spacetime, using the gravitoelectromagnetic analogy, which can be applied to describe the weak gravitational field around rotating sources, and give a new interpretation of the results.

In the present paper we give a description of the free algebra over an arbitrary set of generators in the variety of nilpotent minimum algebras. Such description is given in terms of a weak Boolean product of directly indecomposable algebras over the Boolean space corresponding to the Boolean subalgebra of the free NM-algebra.

The universality, invariance, and elegance of principles governing the universe may be reflected in principles of the minds that have evolved in that universe – provided that the mental principles are formulated with respect to the abstract spaces appropriate for the representation of biologically significant objects and their properties. (1) Positions and motions of objects conserve their shapes in the geometrically fullest and simplest way when represented as points and connecting geodesic paths in the six-dimensional manifold jointly determined by the (...) Euclidean group of three-dimensional space and the symmetry group of each object. (2) Colors of objects attain constancy when represented as points in a three-dimensional vector space in which each variation in natural illumination is canceled by application of its inverse from the three-dimensional linear group of terrestrial transformations of the invariant solar source. (3) Kinds of objects support optimal generalization and categorization when represented, in an evolutionarily-shaped space of possible objects, as connected regions with associated weights determined by Bayesian revision of maximum-entropy priors. Key Words: apparent motion; Bayesian inference; cognition; color constancy; generalization; mental rotation; perception; psychological laws; psychological space; universal laws. (shrink)

This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss’s law for gravity as well as other fundamental classical laws are extended to a D-dimensional metric space, where D can be a non-integer dimension. We show a possible connection between this Newtonian Fractional-Dimension Gravity (NFDG) and Modified Newtonian Dynamics (MOND), a leading alternative gravity model which accounts for the observed properties of galaxies and other astrophysical (...) structures without requiring the dark matter hypothesis. The MOND acceleration constant $${a_{0}} \simeq 1.2 \times 10^{-10} \text {m}\, \text{s}^{-2}$$ can be related to a natural scale length $$l_{0}$$ in NFDG, i.e., $$a_{0} \approx GM/l_{0}^{2}$$, for astrophysical structures of mass M, and the deep-MOND regime is present in regions of space where the dimension is reduced to $$D \approx 2$$. For several fundamental spherically-symmetric structures, we compare MOND results, such as the empirical Radial Acceleration Relation (RAR), circular speed plots, and logarithmic plots of the observed radial acceleration $$g_{obs}$$ vs. the baryonic radial acceleration $$g_{bar}$$, with NFDG results. We show that our model is capable of reproducing these results using a variable local dimension $$D\left( w\right)$$, where $$w =r/l_{0}$$ is a dimensionless radial coordinate. At the moment, we are unable to derive explicitly this dimension function $$D\left( w\right)$$ from first principles, but it can be obtained empirically in each case from the general RAR. Additional work on the subject, including studies of axially-symmetric structures, detailed galactic rotation curves fitting, and a possible relativistic extension, will be needed to establish NFDG as a viable alternative model of gravity. (shrink)

Peripersonal space (PPS) is frequently defined as a plastic, pragmatic and goal-directed multisensory buffer that connects the brain-body with its immediate environment. While such characterisations indicate that peripersonal spatiality is profoundly embodied and enactive, comparatively few attempts have aimed to systematically synthesise PPS literature with compatible phenomenological accounts of lived space provided by Heidegger and Merleau-Ponty. Moreover, in traditional cognitive neuroscience, neurophysiological activity is thought to map onto discrete ‘cognitive correlates’. In contemporary 4E approaches to cognition, however, phenomenology-derived notions such (...) as ‘pre-reflective cognition’ and ‘motor-intentionality’ frequently appear, yet their neural correlates may be comparatively difficult to pin down. Pre-reflectively, agents seemingly do not thematise spatial properties as operationalised in key experimental paradigms (e.g., spatial rotation tasks) but are instead inherently spatially embedded within the world. To refine this distinction, I survey how tools co-determine this distinctly spatial ‘world-embeddedness’ using a neurophenomenological methodology (Varela, _Journal of Consciousness Studies, 3_(4), 330–349, 1996 ). Specifically, I conduct two neurophenomenological analyses of tool-perception and tool-use, examining both how distance modulates affordance-perception and how tool-use remaps bodily space via the withdrawal of tools from intentional-objects into co-constituting motor-intentionality itself. I conclude by briefly distinguishing this interpretation of spatial cognition from cognitivist frameworks. Thereafter, I briefly highlight the temporal scaffolding underlying PPS while conceptually grounding my account within Embodied Simulation Theory (Gallese, _Reti, Saperi, Linguaggi_, (1), 31–46, 2018 ). What is at stake is thus both an explicitly embodied-enactive account of bodily space that is qualitative and situational instead of quantitative and positional, as well as a viable, interdisciplinary strategy for unifying pre-reflective cognition with neurophysiological data. (shrink)

We present the Dirac and Laplacian operators on Clifford bundles over space–time, associated to metric compatible linear connections of Cartan–Weyl, with trace-torsion, Q. In the case of nondegenerate metrics, we obtain a theory of generalized Brownian motions whose drift is the metric conjugate of Q. We give the constitutive equations for Q. We find that it contains Maxwell’s equations, characterized by two potentials, an harmonic one which has a zero field (Bohm-Aharonov potential) and a coexact term that generalizes the Hertz (...) potential of Maxwell’s equations in Minkowski space.We develop the theory of the Hertz potential for a general Riemannian manifold. We study the invariant state for the theory, and determine the decomposition of Q in this state which has an invariant Born measure. In addition to the logarithmic potential derivative term, we have the previous Maxwellian potentials normalized by the invariant density. We characterize the time-evolution irreversibility of the Brownian motions generated by the Cartan–Weyl laplacians, in terms of these normalized Maxwell’s potentials. We prove the equivalence of the sourceless Maxwell equation on Minkowski space, and the Dirac-Hestenes equation for a Dirac-Hestenes spinor field written on Minkowski space provided with a Cartan–Weyl connection. If Q is characterized by the invariant state of the diffusion process generated on Euclidean space, then the Maxwell’s potentials appearing in Q can be seen alternatively as derived from the internal rotational degrees of freedom of the Dirac-Hestenes spinor field, yet the equivalence between Maxwell’s equation and Dirac-Hestenes equations is valid if we have that these potentials have only two components corresponding to the spin-plane. We present Lorentz-invariant diffusion representations for the Cartan–Weyl connections that sustain the equivalence of these equations, and furthermore, the diffusion of differential forms along these Brownian motions. We prove that the construction of the relativistic Brownian motion theory for the flat Minkowski metric, follows from the choices of the degenerate Clifford structure and the Oron and Horwitz relativistic Gaussian, instead of the Euclidean structure and the orthogonal invariant Gaussian. We further indicate the random Poincaré–Cartan invariants of phase-space provided with the canonical symplectic structure. We introduce the energy-form of the exact terms of Q and derive the relativistic quantum potential from the groundstate representation. We derive the field equations corresponding to these exact terms from an average on the invariant state Cartan scalar curvature, and find that the quantum potential can be identified with 1 / 12R(g), where R(g) is the metric scalar curvature. We establish a link between an anisotropic noise tensor and the genesis of a gravitational field in terms of the generalized Brownian motions. Thus, when we have a nontrivial curvature, we can identify the quantum nonlocal correlations with the gravitational field. We discuss the relations of this work with the heat kernel approach in quantum gravity. We finally present for the case of Q restricted to this exact term a supersymmetric system, in the classical sense due to E.Witten, and discuss the possible extensions to include the electromagnetic potential terms of Q. (shrink)

This paper first queries what type of concept of emergence, if any, could be connected with the different chemical activities subsumed under the label ‘quantum chemistry’. In line with Roald Hoffmann, we propose a ‘rotation to research laboratory’ in order to point out how practitioners hold a molecular whole, its parts, and the surroundings together within their various methods when exploring chemical transformation. We then identify some requisite contents that a concept of emergence must incorporate in order to be (...) coherent from the standpoint of the scientific practices involved. In this respect, we finally propose a relational form of emergence which pays attention to the constitutive role of the modes of intervention and to the co-definition of the levels of organization. No metaphysical distinction between the higher and basic levels of organization is supposed, but only a plurality of modes of access. Moreover, these modes of access are not construed as mere ways of revealing intrinsic patterns of organization but, on the contrary, are considered to be active elements on which the constitution of those patterns depends. What is at stake in this paper is therefore not an ontological form of emergence but an agnostic one which fits what chemists do in their daily work. (shrink)

This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved quantities, i.e. Noether's theorem. It also illustrates one of mechanics' grand themes: exploiting a symmetry so as to reduce the number of variables needed to treat a problem. The exposition emphasises how the theory provides insights about the rotation group and the rigid body. The theory's device of quotienting a state space also casts light on philosophical (...) issues about whether two apparently distinct but utterly indiscernible possibilities should be ruled to be one and the same. These issues are illustrated using ``relationist'' mechanics. (shrink)

De Anna’s book rotates around two notions, the ones of metaphysical realism and mental representation, and around two thinkers, Hilary Putnam, and John Haldane. De Anna’s background is always and only Aquinas, however, and he keeps reconstructing the issues by means of Thomistic arguments with the same tenacity shown by Brian Shanley in his famous paper he dedicated to Haldane. In the first chapter De Anna shows that the conjunction of metaphysical realism and naturalism brings about a form of semantic (...) realism, in the second chapter he reviews the arguments set forth by Putnam to refute semantic realism and per modum tollentem also the conjunction of metaphysical realism and naturalism. The third chapter is dedicated to Putnam’s interest for the interpretation of Aristotelian psychology advanced by Martha Nussbaum, the fourth to Haldane’s response to Putnam, and the fifth recapitulates the whole discussion by going back to what Aquinas says on the reception of sensible forms. For long years, naturalism seemed the inevitable consequence of metaphysical realism. To renounce naturalism would have meant to accept “magical theories” of reference and mental representation like the one proposed by Brentano. In the early 1990s, however, Putnam realizes that intentionality is a property of human beings that cannot be reduced to a natural context. Also for Haldane, of course, intentionality is an irreducible property, but this does not bring him to accept either a panpsychist understanding of matter or the dubious thesis that mental properties are added to inert matter in a way that Putnam would have called magic. Haldane goes back to Aquinas’s position that not only do concepts have a necessary connection with their extension, they also find their explanation as intellectual dispositions, habits, which are used when we state judgments, and De Anna does indeed a great job at clarifying this important discussion. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 63.3 (2002) 371-397 [Access article in PDF] How the "New Science" of Cannons Shook up the Aristotelian Cosmos Mary J. Henninger-Voss [Figures]Approximately halfway through the "Second Day" of Galileo's Dialogue Concerning the Two Chief World Systems Galileo's mouthpiece, the mathematician Salviati, scoffs at his Aristotelian colleague Simplicio: "I see that you have hitherto been of that herd who, in order to learn how (...) matters such as this [motion] take place, and in order to acquire a knowledge of natural effects, do not betake themselves to ships or crossbows or cannons, but retire to their studies... to see whether Aristotle has said anything about them."1 Silly, simple Simplicio! He has been searching for natural philosophical wisdom in the books of natural philosophers rather than in the world of docks and arsenals. Indeed this quotation appears near the outset of Day Two wherein Salviati offers cannonshot as proof for the opposing Aristotelian position that the experience of projectiles proves the motionless state of the earth. Obviously, if the earth rotates toward the east, cannonballs shot point-blank to the west ought to travel much further than to the east. And clearly this is not so. Simplicio agrees that the new arguments offered by the cannon are excellent, "and now I see with how many elegant experiments nature graciously wishes to aid us in coming to the recognition of the truth," Simplicio enthusiastically enjoins. "What a shame there were no cannons in Aristotle's time!" exclaims the third interlocutor, Sagredo. "With them he would indeed have battered down ignorance, and spoken without [End Page 371] [Begin Page 373] the least hesitation concerning the universe."2 The irony here is not only that Aristotle might have used cannons in order to explain the workings of the universe but also that Galileo does so in the following pages. His demonstrations with reference to artillery demolish the Aristotelian position, but he has had Simplicio open the door for him by recognizing this most violent of artifices as an elegant experiment provided by nature.3The cannon provides a primary referent for Galileo's new mathematical physics of motion from his very first dialogue to his very last. The early De Motu culminated in a series of questions about the shot of cannons, while the conversation in his final masterwork, Discourses Concerning Two New Sciences, was set in the Venetian arsenal, and to it Galileo appended a table of the parabolic paths that could be expected from cannons shot at various elevations.4 In some sense Galileo turned inside-out a much older problem, one that had haunted military engineers of sixteenth-century Italy—and Galileo had been trained, and trained others, in military engineering.5 State organizers of war and captain generals were less interested in the implications the arts of fortifications and artillery held for the existing science of natural motion than in the necessity to reduce to a science, that is, a coherent body of knowledge, the rules for manufacturing cannons, planting artillery battery, aiming guns, and fortifying camps, cities, and castles.What Galileo gives us is recognizable as early physics, as a sophisticated mechanical science, a neat triumph of mathematical method in natural philosophy. But the ways and means by which mathematics came together with natural philosophy to address problems of both technology and nature are by no means neat. My claim is that attention to the military sphere will help us sort out some of those ways and means. The curious thing about the historiography on the relationship between early modern science and warfare is that the fact of a connection seems to have been taken for granted, while the implications have seldom been investigated.6 This essay is an attempt to trace those implications by [End Page 373] looking at a mathematician who specifically tried to reduce to a mathematical science the military arts, Niccolò Tartaglia.7 Tartaglia's story shows how the minutia of Aristotelian philosophy was transmuted in early attempts to understand cannonshot... (shrink)

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity being obtained because the theory is a PT symmetric rather than a Hermitian theory. We show that in the theory there can be no a priori classical curvature, with all curvature having to result from quantization. In the conformal theory gravity requires no independent quantization (...) of its own, with it being quantized solely by virtue of its being coupled to a quantized matter source. Moreover, because it is this very coupling that fixes the strength of the gravitational field commutators, the gravity sector zero-point energy density and pressure fluctuations are then able to identically cancel the zero-point fluctuations associated with the matter sector. In addition, we show that when the conformal symmetry is spontaneously broken, the zero-point structure automatically readjusts so as to identically cancel the cosmological constant term that dynamical mass generation induces. We show that the macroscopic classical theory that results from the quantum conformal theory incorporates global physics effects that provide for a detailed accounting of a comprehensive set of 138 galactic rotation curves with no adjustable parameters other than the galactic mass to light ratios, and with the need for no dark matter whatsoever. With these global effects eliminating the need for dark matter, we see that invoking dark matter in galaxies could potentially be nothing more than an attempt to describe global physics effects in purely local galactic terms. Finally, we review some recent work by ’t Hooft in which a connection between conformal gravity and Einstein gravity has been found. (shrink)

Introduction Conatus is a specific concept within Descartes’s physics. In particular, it assumes a crucial importance in the purely mechanistic description of the nature of light – an issue that Des- cartes considered one of the most crucial challenges, and major achievements, of his natural phil- osophy. According to Descartes’s cosmology, the universe – understood as a material continuum in which there is no vacuum – is composed of a number of separate yet interconnected vortices. Each of these vortices consists (...) in a set of bands rotating around their centres. The bands are com- posed of corpuscles of the three elements, each distinguished on the basis of their different shapes and sizes. The small globules of the second element, although impeded by the other parts of heaven, strive to move away from the centre of the vortex around which they revolve, thus exerting a certain force against the surrounding bodies. This striving or conatus, though a mere force rather than a genuine motion, is transmitted instan- taneously and along straight lines from body to body. According to Descartes, then, the nature of light consists in this striving alone. This account must be understood as strictly connected to the fundamental laws that regulate the Cartesian world. It is particularly important to recall that for Descartes the centrifugal force exerted by a rotating body is understood to be a consequence of the intrinsic rectilinearity of every motion. As the second of the three Laws of Nature set forth in Book II of the Principles of Philosophy establishes, “all motion is in itself rectilinear; and hence any body moving in a circle tends to move away from the centre of the circle which it describes as proved by the fact that a stone rotating in a sling tends to move centrifugally along the tangent of each point described by a circle.1 Similarly, each of the globules of the second element “strives to recede with a great force from the centre of the vortex in which it rotates; it is in fact prevented by the other globules placed all around, not differently than a stone in a sling”. Within this framework, as I show later, conatus occurs when a body’s intrinsic tendency to rectilinear motion is impeded by an external constraint. As Stephen Gaukroger notes, the use of the term conatus in the Principles – like “vis” and “ action ” – shows that Descartes “cannot avoid dynamic terminology”, despite his declared intent “to construe motion in a purely kinematic way”. Indeed, Gaukroger observes that the notions of force action and striving are systematically employed in the Principles – appearing 290, 59 and 8 times, respectively. Also noteworthy, conatus was – together with the more familiar concepts of actio and vis – a significant element of the conceptual apparatus of Scholastic natural philosophy. As will be seen later – and this is the first goal of this paper – here the concept of conatus had a very specific function. Indeed, it was a central part of the Aristotelian- Scholastic account of gravitation. Conatus was used to refer to the striving of a body to move towards its natural place – especially in cases where its natural motion was hindered or impeded by an external mover. This specific use of the concept of conatus can be found in texts on natural philosophy from the end of the sixteenth through the late seventeenth century. Notably, it occurs in some of the late -Scho- lastic texts which held special significance for Descartes’s thought. Therefore, Descartes introduces conatus in a context in which this concept already had a very specific meaning, and one of which he was very probably aware. The possible relations between these two apparently very different con- cepts have therefore to be scrutinized. I thereby propose to undertake a comparison between the Scho- lastic and the Cartesian conceptions of conatus. I hope to show that certain traits of the former are indeed echoed by the latter, although adapted to the much changed physical paradigm of Cartesian physics. In fact, Descartes’s conatus, though sharing some important similarities with the old one, underwent significant transformations in terms of both its meaning and its application. However, I hope to show that these concepts are both used to describe the behaviour of bodies in relation to their intrinsic motive tendency, and in particular when this tendency is impeded or prevented. Such a reconstruction offers two main areas of interest. On an immediate level, it furthers the general efforts of scholars over the past decades to reconstruct the full extent of the relations between Descartes’s thought and Scholastic philosophy. However, there is another significant reason for taking an interest in the ties between the Scholastic and the Cartesian conceptions of conatus. Indeed, the Cartesian conatus must be seen as crucial to a proper understanding of the broader, diverse conceptualization that this idea enjoyed in the thought of many of the most important philosophers of the early modern period, namely Spinoza, Hobbes and Leibniz. In particular, Spinoza, were directly influenced by Descartes in their unique formulations of conatus. Thus a reconstruction of the context in which Descartes formulated his conatus and of its relations to a pre-existing Scholastic conception will enable us to better reconstruct the history of this idea in the early modern period. The paper is structured as follows: in the first part, I provide a thorough review of the Scho- lastic employment of the concept conatus – both its meaning and the extent of its usage. I then show that it occurs in some of the most prominent Cartesian sources. Finally, I shall provide an account of Descartes’s theory of circular motion and conatus with the specific aim of empha- sizing the elements of both continuity and discontinuity that justify the claim that Descartes’s con- ception of conatus is reminiscent of the Scholastic one. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 35.3 (2002) 175-184 [Access article in PDF] Editor's Introduction:Intensifying Philosophy and Rhetoric John Muckelbauer Intensity...wrecks what it makes known, burning the thought which thinks it and yet requiring this thought in the conflagration where transcendence, immanence are no longer anything but flamboyant, extinguished figures-reference points of writing which writing has always lost in advance. -Maurice Blanchot The coupling named in this journal's title only hints at (...) the proliferation of relations that have appeared within its pages. Since the journal's inception, the means for combining these two traditions has moved well beyond the familiar structure of opposition. We have read, for example, subtle analyses of the different senses in which philosophy may already be rhetorical, and have confronted the epistemological, historical, and political implications of these findings. We have also witnessed the recognition that any conception of rhetoric necessarily harbors elaborate philosophies, and have contended with many different theories of language and language use. Through detailed and intricate interventions into particular texts and particular thinkers, the work that appears within this journal has irreversibly complicated any simple attempt to champion one term over the other. In short, we are no longer faced with the question of philosophy or rhetoric. Instead, we are concerned with myriad interfaces, countless strategies of connection: philosophy and rhetoric.And yet, even a brief survey of the journal's archives generates a movement through which the seemingly distinct poles named in its title begin to rotate in startling ways. Within its pages, philosophy never ceases to become rhetorical, rhetoric to become philosophical. As each particular intervention demonstrates yet another provocative relation between the two traditions or two modes of inquiry, their repeated and promiscuous oscillation soon produces an almost dizzying effect through which the very poles of "philosophy" and "rhetoric" begin to blur. [End Page 175]If we are able to stick with this conceptual whirl, it quickly reaches speeds at which even the blurring distinctions made through each particular intervention begin to appear too stark, too candid. What was this philosophy that is now becoming rhetoric-was it not always rhetorical? And what was this rhetoric that is now becoming philosophy-was it not always philosophical? As a result of this incessant spinning, our philosophy becomes a rhetoric that has become philosophical that has become rhetorical... The terms begin to spin so relentlessly that, rather than offering two separate and related contents, we seem unable to grasp anything other than a kind of flickering movement between them. Indeed, such insistent spinning inevitably prompts the suspicion that perhaps the problem of "philosophy" and "rhetoric" is no longer simply that of two intimately related traditions. Yet if we cannot begin with the premise that these two areas of inquiry are somehow distinct, how are we to intervene in this dizzying whirl? Now more than ever, how can we approach "philosophy" and "rhetoric"?The inevitable vertigo of such questions puts us in a rather bewildering position: as a result of connecting "philosophy" and "rhetoric," we have originated a movement that effectively confounds its own origin: as this connective movement intensifies, it becomes increasingly difficult to specify what we have been referring to through the terms "philosophy," "rhetoric," or even through their connection. Indeed, from within this interminable whirl-in which philosophy becomes rhetoric becomes philosophy-the very movement of becoming appears to be somehow more dependable than the terms supposedly engaged in that becoming. In other words, because we can no longer specify precisely what is spinning within this conceptual centrifuge, the event of the spinning becomes more insistent than ever.It may therefore be the case that we spoke too quickly in turning to the importance of interfaces, connections, and relations. If the very concept of "relation" requires relatively established terms that proceed to interact in particular ways, then the dizzying flicker of "philosophy" and "rhetoric" indicates that what is at stake here may not simply be the connection between two substantive traditions or two positive terms. Their mutual involvement has become too blurred for us to presume that they are merely related... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Surfing the Sublime:Tim Winton's Breath and Eco-HeroismSteve Mentz (bio)The sublime represents an ecological problem. Breathing poses an entangled solution. Surfing, in which a human body stands upright inside a rotating barrel of unbreathable whitewater, provides a way to imagine the connection between these two things.The sublime has represented an elevated category of literary language since the classical writer Longinus's On the Sublime (~1st century CE). From the start, the (...) sublime captures grandeur and also an excess that challenges human thinking. Many of the essential Romantic and Post-Romantic tropes of the sublime that would later appear in dense philosophical accounts, from Edmund Burke and Immanuel Kant to Jean-Francois Lyotard and Jacques Derrida, show themselves embryonically in Longinus's brief classical description.1 The key force of sublime style, Longinus emphasizes, is irrationality: "A lofty passage does not convince the reason of the reader, but takes him out of himself. That which is admirable ever confounds our judgment" (1.4). The conceptual violence of the sublime strains our imaginations almost to breaking, and Longinus's intuition that sublimity always sits on the far side of human comprehension becomes a central feature of this idea in literary history. Although we know very little about Longinus the author–neither his name nor the century in which he lived are certain–he fingers the particular pleasurable pain and rupture of coherence that would become the signature of the sublime in modern poetics. The problem with the sublime perspective is that it craves rupture, centers the human imagination, and refuses to make space for nonhuman collaborators. The opposite of the sublime's imaginative conquest of the world may be simple breathing, the taking of alien air into one's lungs and body, and the environmental dependence each breath marks.The philosopher Graham Harman has recently traced the sublime lineage of Burke and Kant to Lyotard, Levinas, Derrida, and other twentieth-century thinkers, in order to reject the concept as fundamentally [End Page 79] anthropocentric. Harman instead advocates for a philosophy that does not require the shaping structures of human perspective. He argues for an ecological art that engages with the world beyond the merely human perspective, "art that explores unforeseen interactions between the different parts of the external world." What Harman terms "unsublime ecology" might reasonably be described as an inhuman ecological perspective. The philosopher reminds us that the sublime has always been, both from Longinus and in Harman's reading explicitly from Kant and Burke to Lyotard and Derrida, a ju-jitsu trick in which the imagination of a (white male) subject reintegrates what it cannot fully comprehend. The list of poetic works whose language most commonly appears as exemplary of the sublime–Milton's Paradise Lost, Shelley's "Mont Blanc," Shakespeare's King Lear, Wordsworth's The Prelude–suggest that the mode appeals to poetic egoists of a particularly masculinine type.2The heroic sublime of these poets and theorists falters on the physical fact of breathing. Each day of their lives, more than 20,000 times per day, every one of these men, even stern, blind Milton dictating his prophetic poem to dutiful daughters after his revolution had failed, drew nonhuman air into and out of his lungs, exchanging oxygen and carbon dioxide. Each man's thinking continued, while their minds dwelled little on how their body's dependence on alien matter to suspire might impinge upon the heroic sense of self. Even prophets and geniuses, even Wordsworth and Derrida, depend on unconscious patterns. Even the greatest of poets breathes.That's where surfing comes in, in particular Tim Winton's 2008 surf novel Breath, which relates a minor-key epic of surfing against breathing. The novel's core figures devote themselves to intentional oxygen deprivation: our teenage narrator-hero Pikelet; his rebellious buddy Loonie; Sando, the Australian surf-seer they follow; and Sando's American one-time freestyle skier wife, Eva (note the unsubtle symbolism of her name), whose injured knee keeps her off the snow but does not prevent her from chasing sublimity through self-suffocating games that involve sex, a plastic bag, and eventually Pikelet. To court mortality by cutting... (shrink)

Sophists’ apologia. -/- Sophists were the first paid teachers ever. These ancient Greek enlighteners taught wisdom. Protagoras, Antiphon, Prodicus, Hippias, Lykophron are most famous ones. Sophists views and concerns made a unified encyclopedic system aimed at teaching common wisdom, virtue, management and public speaking. Of the contemporary “enlighters”, Deil Carnegy’s educational work seems to be the most similar to sophism. Sophists were the first intellectuals – their trade was to sell knowledge. They introduced a new type of teacher-student relationship – (...) the mutually beneficial communication on equal terms. They taught pupils how to think independently and how to persuade others, which was inseparably connected with the rise of democracy in the most advanced Greek polices. Sophists were the first to proclaim that all people are naturally equal. They put forward the idea of natural rights and social contract, working out the fundamentals of the present-day law. In addition, they developed the basics of philology, psychology, logic, and gave a scientific explanation to the origins of religions. They embodied definite positive ideals of their epoch. Sophistry flourished in the second half of the Vth through he first third of the IVth centuries B. C. The period coincides with the heyday of the entire Greek history – the so called Greek Miracle epoch. Sophists expressed some present-day concepts of Ancient Greek ideology and mentality, characteristic of its Golden Age times. The Ancient Athens of the times of Periclus were similar to the Florence of Renaissance as to the type of social structure. That is why (?) the art of eloquence (public speaking) was highly respected in Florence. The two cities had a lot of features of the present-day capitalist society, which was due to their role as the main centres of industry of their “worlds-economies”. During the subsequent Hellenic period, the Old Order was restored, based on the feudal rent recipients’ rule. The degradation of society resulted in the decline of sophistry. Sophistry represents the highest point in the evolution of Greek philosophy. It is also the most prominent school as to the novelty of its ideas. That was owing to the common propensity for innovation typical of Periclus’ Golden Age, which in its turn resulted from the establishment of the individualistic and rationalistic thinking similar to present-day mentality. Among other aspects, close attention was paid to ethnic issues; some humanistic ideas such as Master and Servant ethics and Enlightment as the primary condition of man’s freedom, received scientific grounding. The genre of philosophical dialogue was developed, as well as the rationalistic scientific gnoceology, aimed at consistently opposing any religion. Dialectics, the most outstanding achievement of the Antiquity, was also worked out by the sophists. Zeno of Helleas was one of the sophists. Democrites’ ideas were, too, quite close to dialectics. Socrates’ contemporaries regarded him ironically, as shown, for example, in the Aristophanes’ comedy “Clouds”. Nevertheless, this scholar can still be referred to as a sophist, although of somewhat weird personality. Socrates’ popularity, which came later, should be attributed to the fact that he was the first philosopher ever to have been sentenced and executed by law, rather than to any valuable scientific contributions. Sophistry as such, rather than Socrates, marks the line between pre-Socratic and post- Socratic schools. Plato, with the exception of his latest works, is considered to belong to the same philosophical school. Specifically, there are valid reasons to believe that he was paid fees by his disciples. In Plato’s Dialogues, all points of view will be proven and then disproved, so that an integral philosophical system is hard to observe. Plato’s “Idealism” is but one of the many possible theories. His ideal philosophy is a high-minded argument of wise men. As late as towards the end of his life, Plato betrayed the ideals of sophistry, turning into the world’s first proponent of totalitarianism. Sophistry is Greek classical literature. Later on, philosophy, as well as the entire Greek civilization, started to fall into decline. Over 500 subsequent years, Hellenistic-Roman scholars never came up with anything novel. The entire process of antique philosophical evolution can be subdivided into the following six stages: Phoenician (IX–VIIth centuries B. C.), archaic (VIth – the first half of IVth century B. C., classic (the epoch of sophistry: the second half of the Vth through the first decades of the IIIrd centuries B. C.), late antique (middle of the IIIrd – first decades of the VI th centuries B.C.) The fact that early in the VIth century B. C. sophistry was rejected in Athens, has a lot to do with the consequences of their defeat in Peloponnesian war, a social catastrophe. Ever since, the prevalent part of the criticism of sophistry is a criticism of sophists’ immoral ways of life and personalities, rather than the essentials of their philosophy. For instance, Aristotle’s criticism primarily concerns their pragmatism and tendency to make a profit out of teaching. However, Aristotle himself taught his disciples along similar lines, showing them how to “be able to prove both opposites”. It was Aristotle who summed up sophists’ century-long elaborations. The traditional modern interpretation of sophists as shown in Plato’s dialogues appears to be groundless. The truth of the matter is that Plato regards sophists as more serious philosophers than Socrates was. It becomes especially clear in the dialogue titled “Protagoras”, which shows the latter as gaining an undoubted victory over Socrates. Generally speaking, Plato’s works never regard sophists as weak or worthless opponents. A common opinion as to the essence of sophists’, in particular, Protagoras’s philosophy, has hitherto not been worked out. Many researchers renounce the very existence of any specific philosophical position in sophistry. The term “relativism” itself now has a bad name. However, it should be borne in mind that Protagoras doctrine emerged as a result of an attempt to get out of the ontological dead-end to which the entire Greek natural philosophy had come. To this purpose, he employed Anaxagoras’s idea about everything comprising everything, whereupon he built his physical-ontological theory, and Zeno of Helleas’s concept that all objects are such and different at the same time in the same respect. According to Protagoras’s philosophy, every object does not only seem, but is different from every other object, including human beings. Therefore, every person is his or her own measure of all other entities. The objective reality is the Ego’s relations with the outer world. Every object’s essence is defined through its interaction with ourselves. Nothing remains stagnant – every existence already contains non-existence, and vice-versa. However, the relativity of being is not to be regarded as absolute. That means, that relatively stable and therefore relatively cognizable entities do exist, among them the words we say. Doubt is not considered absolute by relativists either, which differentiates them from skeptics and agnostics. They dare to believe. Uncertainty is Godly – here, Protagoras becomes very close to the concept of apathetic theology. Gorgius shared Protagoras’s views and tried to prove them applying the same method as Zeno applied when upholding Parmenidis’s philosophy. He argued that if one accepts the opposite point of view and agrees that nothing can exist and not exist at the same time, one is bound to come to an the absurd conclusion that nothing is cognizable and nothing exists. To prove that there is a universal contradiction within the Existence itself, Protagoras and his followers in their turn put forward a number of special logical arguments, called rules of contraries, or sophisms. The most well-known of them is the Euathle’s sophism, which proves that an object can be such and different at the same time in the same respect. Generally speaking, all relationships of any entity are extraneous. The idea that all entities, including concepts, exist and do not exist at the same time, was also accepted by Plato. It should be stressed, that Plato’s philosophy as a whole is relativists’ greatest achievement. In his dispute against relativism, Aristotle put forward the main concepts of his ontology: the existence falls into the existence in possibility and the existence in reality, or substance and accidence – the ever changing “sublunary” world and the stable world of divine heavenly bodies. This division made his system self-contradictory to the point of absurd. Aristotle quite realized, that the direct disproof of relativism is hardly possible, which fact makes his criticism a mere tautology. It is very indicative in this respect that materialists, idealists and even skeptical agnostics applied the same arguments do disprove relativism. That demonstrates that the inner contradiction between any forms of “absolutism” and relativism is the most fundamental philosophical problem. Relativist ideas were repeatedly renewed throughout history, provided the social conditions were favourable. In variations, the concepts were advanced by Tzuan Tsi and ancient Chinese sophists, apostle Paul, Nicolas of Cusa, Galileo, Rene Descartes, G. Berkley, D. Hume, Ch. S. Pierce, E. Mach, A. Bogdanov, F. de Saussure, N. Bore, P. Feuerabend, U. Quain and others. However, no consistent relativist ontological system was developed after Protagoras. Meanwhile, a valid relativist theory could provide a clue to a fuller and more adequate general physical concept of the world, and to a deeper understanding of quantum mechanics. -/- Relativism as an ontological system of beliefs. -/- The relativist principle of relativity of all that exists is fundamental for the entire system of philosophy. Absolutely everything exists, but, at the same time, no existence is absolute. Anything is possible, but those entities only exist for us with which we interact this way or another, i. e., reality is interaction, “I interact – hence, I exist”. However, an overly close relationship between entities leads to non-existence – in other words, there is a certain existential optimum. For all of us, information, or perceptible heterogeneities, is real. Each of us is the center of a definite system of interactions with the world. If God is an endless Possibility, then the World is but the man’s dialogue with God. However, the ties that bind us with the world are of some definite kind, which predetermines our reality. The principle of relativity constrains itself, as any relativity is relative. On the one hand, that calls forth the Evil – caused by our own weakness. On the other hand, it makes our world relatively stable and cognizable. Generally speaking, the world is what we are. Everybody has an own Universe, but since people are fairly similar, our universes can be regarded as one Universe with common laws and regulations. It is possible for us to change the degree of objects’ existence in relation to ourselves and one another. It is equally important, though, to remain ourselves (keep following our “warrior’s path”). Since everything exists and no existence is absolute, the process of cognition should involve a criticism of everything but never a complete rebuttal of anything. The criterion of verity for any theory then is in its capacity to build itself upon a bigger number of diverse statements than in any other theory. Theoretically, all philosophies should ideally be complementary. The question of what in fact happened is meaningless unless we specify the “we”, the “where” and the “when”. The past can only exist as part of the present. When we change, our past undergoes corresponding qualitative objective changes, all of which are irreversible. The contemporary physics regards all objects of the Universe as existing for one another, which results in absurd conclusions. In fact, only what we interact with, exists. The so called “speed of light in vacuum” c is the maximum speed of direct interaction and direct exchange of signals. Specifically, at the oncoming speed c with a significant blue parallax the gamma-quantum is unable to interact with the matter. When this speed is reached, the gravitational mass of objects in relation to one another becomes equal to zero (imaginary), whereas their inertial mass equals infinity. Further acceleration will bring us into an entirely different Universe. That means that the Universe is an open system, which fact destroys all present-day cosmological models. Anything is possible in this world. Our reality is magic. Every bit of space contains a potentially limitless number of bits of other, however virtual, universes, as well as an infinite number of particles, which are still virtual for us (as postulated by quantum mechanics). In other words, there exists an infinity of different realities. With all the above in mind, the different levels of entities’ existence, in particular, of Life and Reason, should be taken into consideration. For example, to which extent a live system exists in relation to the inanimate forms of being is very indefinite, as what life is has to be determined by living creatures. An even greater compass of levels of existence can be brought about through interaction – that is the core idea of Godel’s theorem. As a result, the range of forms of existence tends towards infinity – the evolution of matter through super-intelligence will bring us up to God’s heights. A more generalized mathematical model of the physical world, including a universal operator of the co-existence of objects, can be developed based on the above considerations. The bonds between objects become weaker owing to 1) a high speed, 2) acceleration, 3) rotation, 4) strong gravity, 5) strong fields of other kinds, 6) the difference of levels of existence , 7) phase shifts. Yet, there always is an existential optimum. Such mathematical model is to operate certain non-transitive algebras. Relativist ontology assumes that the notion of “temperature” is relative, thus making it possible to ignore the Second Law of Thermodynamics. In its turn, that will allow for phase shifts. A perpetual motion machine of the second type will become a reality. Rotation could presumably be used to increase inertial and decrease gravitational mass, slowing down the time. An experimental research could shed light on the mentioned effects. (shrink)

The electric dipole moments of elementary particles, atoms, molecules, and their connection to the electric susceptibility are discussed for stationary states. Assuming rotational invariance, it is emphasized that, for such states, only in the case of a parity and time-reversal-violating interaction can the considered particles exhibit a nonvanishing expectation value for the electric dipole moment.

Farming God’s Way (FGW) is a type of conservation agriculture (CA) that re-interprets the CA principles of no tillage, mulching and crop rotation using biblical metaphors such as God doesn’t plow, God’s blanket, and the Garden of Eden. Through faith-based networks, FGW has spread throughout Sub-Saharan Africa, and beyond, as a development intervention for improving food security, adapting to climate change, and restoring soil productivity for resource-poor farming households. This research identifies and compares the production, sustainability and faith claims of (...) FGW to ascertain which claims are contested. A qualitative study of Canadian program managers with responsibilities for CA or FGW projects in Africa and smallholding FGW farmers in Kenya is employed using semi-structured interviews and focus groups. Production-related claims of improved soil moisture and climate change adaptation are generally consistent among program managers, farmers and the literature, but social claims of increased labour demand on women and religious claims of faith enhancing CA are contested. Findings show that female farmers unanimously contest the claim that their labour for weeding is increased under FGW. Similarly, FGW farmers contest the claim that faith inhibits adoption or innovation on the farm, reporting instead that FGW connects faith to their vocation, transforms why and how they farm, and changes mindsets for adopting faith-based CA. (shrink)

The bucket experiment in Newton’s Principia is quite simple. Nonetheless, physicists as well as philosophers and historians of science are still debating its purpose and success. I present two interpretations found in the literature. According to the first, Newton tries to prove absolute rotation and thus the existence of absolute space. According to the second, he tries to provide a definition of absolute rotation as it is used in his mechanics. Closely connected to this is his rejection of Descartes’ (...) explanation of rotation and of motion in general. I conclude with a short discussion on whether the bucket experiment can be classified as a thought experiment. (shrink)

Understanding the day/night cycle requires integrating observations of the sky (an Earth-based perspective) with scientific models of the solar system (a space-based perspective). Yet children often fail to make the right connections and resort to non-scientific intuitions – for example, the Sun moving up and down – to explain what they observe. The present research explored whether children’s gestures indicate their conceptual integration of Earth- and space-based perspectives. We coded the spontaneous gestures of 85 third-grade children in U.S. public schools (...) (Mage = 8.87 years) as they verbally explained the overall cause of the day/night cycle, the cause of sunrise, and the cause of sunset after receiving science instruction as part of a prior study. We focused on two kinds of gestures: those reflecting the Sun’s motion across the sky and those reflecting the Earth’s axial rotation. We found that participants were more likely to produce Earth rotation gestures for a topic they explained more accurately (the overall cause of the day/night cycle), whereas Sun motion gestures were more common for topics they explained less accurately (the causes of sunrise and sunset). Further, participants who produced rotation gestures tended to provide more accurate verbal explanations of the overall cause. We discuss how gestures could be used to measure – and possibly improve – children’s conceptual understanding and why sunrise and sunset may be particularly difficult topics to learn. (shrink)

The quantum transition probability assignment is an equiareal transformation from the annulus of symplectic spinorial amplitudes to the disk of complex state vectors, which makes it equivalent to the equiareal projection of Archimedes. The latter corresponds to a symplectic synchronization method, which applies to the quantum phase space in view of Weyl’s quantization approach involving an Abelian group of unitary ray rotations. We show that Archimedes’ method of synchronization, in terms of a measure-preserving transformation to an equiareal disk, imposes (...) the integrality of the quantum of action, and requires the extension of the classical moment map from the real line to the circle. Additionally, the same synchronization method is encoded in the structure of the Heisenberg group, viewed as a principal bundle with a connection, whose curvature and anholonomy is expressed in terms of area bounding loops in relation to the underlying Abelian shadow on a symplectic plane. In this manner, we show that the geometric phase pertains to the minimal synchronized area \ of the 2-d symplectic Abelian shadow of the symplectic ball, modulo \. The integrality condition naturally leads to the consideration of modular commutative observables pertaining to the role of the discrete Heisenberg group. We prove that the structural transition from non-commutativity to modular commutativity in accordance to Weyl’s group-theoretic commutation relations takes place via universal factorization through the discrete Heisenberg group. In this way, we derive a homology-theoretic formulation of the synchronization method in terms of the area-bounding cells of the modular lattice \ in relation to any Abelian symplectic shadow. Thus, we finally obtain the physical interpretation of the analytic representation of quantum states as theta functions corresponding to the sections of a complex line bundle with an integral symplectic structure. (shrink)

In the field of history of Chinese philosophy, the key points and difficulties in the research on Fang Yizhi are mainly reflected in two ideological lines: one is how the academic pattern of the transition from Neo-Confucianism in the Song and Ming Dynasties to the texturalism in the Qing Dynasty happened; the other is how the traditional Chinese humanities accepted the western modern natural sciences and technologies. Relatively speaking, in the late Ming and early Qing Dynasties, there were fewer academic (...) discussions on the relationship between intellectual thought and natural science and technology, and no universally accepted explanatory paradigm has been put forward yet. To understand the relationship between science and humanities in late Ming and early Qing Dynasty, as well as that between modern western natural science and ancient Chinese traditional thought, Fang Yizhi is a precious object of study. Fang Yizhi's thinking and practice about "things" is a bridge linking the natural world and the human world. “Thing” in Chinese philosophy has both concrete and abstract attributes, including but not limited to the category of “matter” in Western philosophy. Fang Yizhi has always been regarded as an encyclopedic thinker, and his theory of things is extremely rich. The theory and practice of things are the core of Fang Yizhi's philosophy. Fang Yizhi believes that the three religions all hold that the ultimate noumenon itself is "unknowable" and at the same time is the fundamental basis of every single thing, so people can only "study its origin" from the "knowable", that is, the "thing". This train of thought lies in the base of Fang’s thinking when describing and analyzing the relationship between Dao and things, which includes both theories of the universe and the ontology. This paper holds that the basic idea of Fang Yizhi's philosophy on the theory of body and function is that ‘there is no body but there is function’, while on the theory of universe it is that what above Yin and Yang are unknowable. Because the Dao has no body, it has only the function. And because nothing above the Yin and Yang can be understood, people can only use what is below the Yin and Yang such as the principle, qi 氣, image and number, to form the universal principle through the induction of the principle of “things”. Furthermore, Fang Yizhi ascribes the body, mind, nature and destiny to the concept of things, that is to say, he regards the self as the object of rational cognition. In this relationship, "I" is not only the subject of cognition, but also the object of cognition, thus realizing introspection inward. Thirdly, utensils and heaven and earth, that is, man-made objects and natural objects, are external to the self. Although Fang Yizhi also advocated "making" things external to human beings, under the social class system of scholars, peasants, workers and businessmen, he could only engage in the research of the theory of external things, that is, the so-called science of quality and measurement. On the whole, Fang Yizhi's physical research and practice did not go beyond the scope of Chinese traditional natural science, but he was good at summarizing research methods, actively absorbing the contents of western natural science, and put forward correct ideas on many specific natural science issues. Mou Zongsan's discussion on the relationship between existence and activity inspires the author to think about the significance of the theory of “round ∴”. Fang Yizhi drew a series of laws represented by the theory of “round∴” through the induction of the principle of being. Although these laws are derived from existing things, they themselves are not static, but show two levels of active states: one is the internal dynamics of the laws, that is, the constant rotation; the other is that the law derived from the existing things can be applied to the activities of people, considering eternity and change, the right timing and other variable factors. This paper tries to follow the essence of Fang Yizhi's thought to seek for communication and connection between objects and things, between being and activity, between natural science and moral and human ethics. From the perspective of the development of modern and contemporary Chinese philosophy, the study of mind has always occupied an important position, and the corresponding philosophical research of “things” is relatively lacking. In theory, mind and thing are relative and inseparable aspects, and the thoughts on “things” in traditional Chinese thought resources are comparable to the study of mind in terms of diachronic, textual volume and theoretical depth. The rapid development of modern natural science and technology and its challenges to the human world have promoted the deep and lasting reflecting on the problem of things and the relationship between people and things in western philosophy. Scientific rationality invades every aspect of human's life. The transformation of knowledge to practical technology enhances human's ability to control and transform things. Instrumental rationality dominates human's understanding of things, and “things” fall from the meaning world of human's living situation and become the means to meet human's needs. A re-examination of this period in Chinese history, when pre-modern ideas and science and technology first collided, may be helpful to enlighten us to think about the relationship between science and technology and the world of human significance. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Am I the Bad Guy?Tavishi ChopraWhat do you do when the 6-year-old patient you have vowed to protect suddenly deems you the bad guy?The afternoon started out like any typical afternoon during my inpatient pediatric rotation. We had finished rounding, grabbed lunch, and began to see our new admits. My residents told me to go see a 6-year-old, Ela, in the ED. All I knew was that she had (...) a burn injury. As I walked to her ED room, my heart sank.Burns from cigarette stumps covered her torso and back. She was holding her shirt off her chest to prevent the excruciating pain caused by her t-shirt rubbing against her skin. As soon as Ela made eye contact with me, she immediately started crying and exclaiming, "Mommy didn't mean to!" confirming exactly what I thought. These burns were inflicted from someone she loved.Ela was eventually admitted into the hospital, and the Department of Child Services was contacted. Little did I know that I would be so conflicted by this decision.DCS launched an investigation on Ela's mom, but during the investigation, Ela's mom was permitted at her bedside. It was very clear that Ela felt protected and loved by her mom. Often it was only her mom who could get her to stop crying during the painful dressing changes. I felt torn allowing Ela's mom to have such a strong presence in Ela's hospital stay. To me, nothing in the world can justify hurting a child so cruelly, and inflicting that pain so many times. However, my job was to help Ela heal. That meant that because Ela turned to her mom for support, I also needed to include Ela's mom in our medical decisions. I buried away any negative feelings I had, and I proceeded to interact with Ela's mom in a professional manner.It was this that allowed me to get to understand Ela's mom a little bit more. She was a single mom [End Page E8] working multiple jobs to help keep her family afloat. She often lived her day on three to four hours of sleep, so she was very tired. The sleep deprivation made her frustrated more easily, and she didn't have a healthy outlet to release her emotions. Unfortunately, Ela was on the receiving end of that frustration.Hearing her story made me even more angry, confused, and upset that a child suffered. I strongly believed that as adults, we should have better control of our emotions, and sleep deprivation and frustration weren't an excuse. I couldn't find it in me to respect Ela's mom, who I shamefully began to avoid.I still wanted to bond with Ela and show her unconditional love. When Ela's mom was at work, I would use that opportunity to go and spend time with her. We would play "princesses," blow bubbles together, and turn dressing changes into a game. We formed a special bond, and I always made it a goal to go and spend some time with her every day.DCS, meanwhile, was actively conducting an investigation. They interviewed Ela's mom, Ela's siblings, and Ela. The findings of their investigation revealed that Ela's mom often would lose her temper, and the kids feared their mom. Hearing this further proved to me that I did not need to interact with Ela's mom. Embarrassingly, it was just as much a priority for me to avoid Ela's mom as it was to spend time with Ela.DCS eventually concluded that Ela's mom would lose custody of Ela for the time being. Because of the connection that Ela and I had, I took it upon myself to deliver the news to her. Our bond was shattered right then and there. She immediately began to cry, told me she hated me, and asked me to leave the room. Anytime I would go into her room after that, she would start screaming and refused to talk to me. In a span of five minutes, Ela's mom made a decision that destroyed their family... (shrink)

Farming God’s Way (FGW) is a type of conservation agriculture (CA) that re-interprets the CA principles of no tillage, mulching and crop rotation using biblical metaphors such as God doesn’t plow, God’s blanket, and the Garden of Eden. Through faith-based networks, FGW has spread throughout Sub-Saharan Africa, and beyond, as a development intervention for improving food security, adapting to climate change, and restoring soil productivity for resource-poor farming households. This research identifies and compares the production, sustainability and faith claims of (...) FGW to ascertain which claims are contested. A qualitative study of Canadian program managers with responsibilities for CA or FGW projects in Africa and smallholding FGW farmers in Kenya is employed using semi-structured interviews and focus groups. Production-related claims of improved soil moisture and climate change adaptation are generally consistent among program managers, farmers and the literature, but social claims of increased labour demand on women and religious claims of faith enhancing CA are contested. Findings show that female farmers unanimously contest the claim that their labour for weeding is increased under FGW. Similarly, FGW farmers contest the claim that faith inhibits adoption or innovation on the farm, reporting instead that FGW connects faith to their vocation, transforms why and how they farm, and changes mindsets for adopting faith-based CA. (shrink)

A 4-dimensional periodic table of chemical elements is presented. The 120 elements in the n = 8 system are located on vertices of a 4D-cubic lattice and specified by Cartesian coordinates based on the four quantum numbers. Each quantum number is represented by a vector along a different spatial direction in 4D Euclidean space. The 4D PT has a fixed topology governed by Euler–Poincare-type equation and the chemical elements have a fixed connectivity with neighboring elements within the 4D PT. Various (...) geometric transformations by rotations and elongations of vectors enable morphing of one PT to another in a continuum while preserving the 4D topology. The 4D structure exhibits principles of complementarity and zero-cyclic sum in chemical elements. Complementarity enables the extension to n = 9 elements and beyond. The 4D PT of elements extends to isotopes and also to molecules and compounds with the same underlying principles. (shrink)

An interesting pattern emerges in the Early Modern Era of women taking control of their lives and bodies through the use of material culture, and men being terrified of this fact. Women often lacked agency in a world with ever-changing perceptions of not only femininity, but also of the female form. Clothing was then one of the few ways that these women who lacked power could control their body and their spheres. To those living in the Early Modern Era, clothing (...) held far more meaning than it does in the modern day. The exchange of clothing among women was founded on and fundamental to the connections between them. It was transferred from “masters and mistresses to servants, from aunts to nieces, from sisters and brothers to younger siblings” in a “routine rotation” that was the life of a garment. Men and women alike understood the innate power of clothing in the Early Modern period and its ability to “transnature” the body it was on. Clothing had the power to “mold and shape” women into anything. Because of its transformative nature, for many women clothing was one of the few places where they could exert their control: through purchasing power, shaping their public presentation and—for lower class women—even manufacturing or selling. Busks and stays are one item which was targeted by masculinity in the early modern period because of their connection to both women and sexuality more specifically. (shrink)

According to the BSM- Supergravitation Unified Theory (BSM-SG), the energy is indispensable feature of matter, while the matter possesses hierarchical levels of organization from a simple to complex forms, with appearance of fields at some levels. Therefore, the energy also follows these levels. At the fundamental level, where the primary energy source exists, the matter is in its primordial form, where two super-dense fundamental particles (FP) exist in a classical pure empty space (not a physical vacuum). They are associated with (...) the Planck scale parameters of frequency and distance and interact by Supergravitational forces. These forces are inverse proportional to the cube of distance at pure empty space and they are based on frequency interactions. Since the two FPs have different intrinsic frequencies, the SG forces appear different for interactions between the like and unlike FPs and may change the sign. This primordial form of matter exists in the super-heavy black holes located in the center of each well formed galaxy. The next upper level of matter organization includes the underlying structure of the physical vacuum, called a Cosmic Lattice, and the structure of elementary particles. They have common substructure elements obtained by specific crystallization process preceding the formation of the observable galaxies. The Cosmic Lattice, forming a space known as a physical vacuum, is responsible for the existence and propagation of the physical fields: electrical, magnetic, Newtonian gravity and inertia. The energy of physical vacuum is in two forms: Static (enormous) and Dynamic (weak). The Static energy is directly related to the Newtonian mass by the Einstein equation E = mc^2 and it is a primary source of the nuclear energy. The Dynamic energy is responsible for the existence of the electric and magnetic fields, the constant speed of light and the quantum mechanical properties of the physical vacuum. The next upper energy level is the dynamical energy of excited atoms and molecules. At this level a hidden energy wells exit, such as the internal energy of the electron and the internal energy of atoms with more than one electron. The next upper energy level is at some organic molecules and particularly in the biomolecules that contain ring atomic structures. In such a structure, some quantum states are not emitted immediately, but rotating in the ring. While in organic molecules the energy stored in such a ring is released by a chemical process, in the long chain molecule of proteins in the living organism the stored energy can be released simultaneously by triggering. A huge number of atomic rings are contained in the DNA strands. The release of the energy stored in DNA, for example, is an avalanche process that causes an emission of entangled photons possessing a strong penetrating capability. A sequence of entangled photons emitted by DNA should carry the genetic information encoded by the cordons. This mechanism, predicted in BSM-SG theory, is very important for intercommunication between the cells of the living organism. The next upper level of energy organization may exist in the brain. The brain is an organ of a most abundant number of atomic rings, while its tissue environment might permit complex energy interactions. The human brain contains billions of atomic rings. The next hypothetical upper level of energy organization is an information field, physically existed outside, but connected with the living brain. It corresponds to a specific field known as aura, while the possibility of its existence is still not accepted by the main stream science. The problem is that this field could not be detected by the currently existing technical means used for EM communications. The BSM-SG predicts that this field might differ from the EM field we use for communication, but it is a subject of a further theoretical development that must be supported by experiments using specifically designed technical means. According to the BSM-SG theory, the energy conversion from the primary energy source to the complex levels of matter and field organization is a permanent syntropic process based on complex resonance interactions. (shrink)

Literature on driving research suggests a relationship between cognition and driving performance in older and younger drivers. There is little research on adults and driving, despite them being the largest age cohort behind the wheel. Among the cognitive domains, visuospatial abilities are expected to be highly predictive of driving skills and driving fitness. The relationship between specific spatial mental transformation skills and driving performance has not yet been examined. The present study aimed to investigate the relationship between overall cognitive functioning, (...) self and object-based spatial mental transformation skills, and driving performance in a sample of younger and older adult drivers. Participants were comprised of one hundred younger and 83 older adult Italian drivers. Participants completed a computerized driving test assessing traffic stress resilience, visual and motor reaction time, and the ability to obtain an overview of the traffic scenario. The Mental Rotation Test and the Object Perspective Taking Test were administered in order to assess object-based and self-based spatial mental transformation skills. The Montreal Cognitive Assessment Test was administered control for global cognitive functioning. The effects of education and gender were also controlled in the analysis. The results of the present study suggested that: The effect of age, favoring younger participants, was found in DT, vRT, mRT, and ATAVT tests. The effect of global cognitive functioning was found in DT and ATAV tests. The effect of the spatial mental transformation tests was found in DT, vRT, and ATAVT tests. Taken together, these results suggest the specific contribution of spatial mental transformation skills in the execution of complex behaviors connected to the fitness to drive. Prospectively, the results of the present study relating spatial mental transformation skills and driving processes may be a valuable source of knowledge for researchers dealing with the relationship between cognitive resources and navigation aids. (shrink)

In the period 4800-3600 BC. in the eastern part of the Trypillia area arose "giant settlements" or "megasites" / "mega-settlements" with thousands of buildings. In the central parts of these living conglomerates, scientists found special buildings that were recognized as sanctuaries, sacred complexes or temples. In the late period of the Trypillia culture they disappeared. These religious buildings were built with a focus visible processes of celestial bodies and the laws of cyclic rotation of the Earth in space, and included (...) in their internal filling usually cruciform altars, ritual utensils, troughs with graters for the preparation of ritual bread and numerous other ceremonial and religious artifacts. There were also unique finds, such as gold jewelry and a perforated clay disk with tockins to it from the space of the Nebelivka Temple. The interior and exterior walls of the Trypillia sacral centers were painted with natural colors with a predominance of red. The wood carving for decoration of elements of a skeleton of a construction was investigated also. The first Temples on the European continent show that even at that time there was a cult of architecture. In general, it is clear that such Trypillia objects of religious worship carried encoded astronomical information in symbolic form. The building itself was oriented with regard to worldsides and designed relative to visible celestial bodies. This indicates that the people of Trypillia had a fairly clear worldview, which allowed them to reach the level of understanding the structure and mechanisms of many natural cyclical processes on Earth. Trypillia cosmology united the celestial and terrestrial spheres, and the Temple was the point of contact of the earth with the visible Universe. In his work, the author traces the existing analogies in the structure of construction of Trypillia and sacred complexes of the ancient Middle East and biblical ideas about the Tabernacle and the House of the Lord in the ancient Jews, given the fact, that the Trypillia temple building is known from 4,000 years BC. and several thousand years older than the Middle Eastern counterparts. There are also significant parallels in the construction of temples in the context of Indo-European religious heritage. It is noted that the Temple was not only a metaphysical reflection of the annual cycle with a focus on the points of the equinoxes and solstices, but also had a higher religious function, which consisted in the combination of the terrestrial sphere with the celestial, the connection of man with the mystery of the cosmos. (shrink)

The Libros del Saber de Astronomia is a compilation of various Arabic astronomical works translated into Castilian in the second half of the thirteenth century, under the direction of King Alfonso X of Spain. A section describing a mercury clock has been suggested to be of particular significance in view of the likely invention of the mechanical clock around this period, so a new translation into modern technical English has been prepared. The clock is shown to consist essentially of an (...) annulus of mercury-filled chambers separated by narrow partitions, each partition being perforated by a very small hole. This annulus is attached concentrically to a pulley wheel around which a cord is wrapped, and a fixed weight hung upon the cord. The torque raises the mercury on the opposite side, but as the resulting hydrostatic head then causes it to percolate through the holes connecting the chambers the wheel slowly rotates to maintain its equilibrium. The weight therefore gradually descends in a controlled manner. It is claimed that, by suitable adjustment of the driving weight, the wheel could be made to turn once in 4 hours. A 6:1 reduction gear therefore enabled the rete of an astrolabe to be rotated once in 24 hours, modelling the real sky so that the time could be read off directly against the plate.A working model has been constructed on these principles, but utilizing modern materials to contain the mercury. It does work, but the range of rotation periods is quite limited and the reproducibility poor . It is shown that this is a consequence of the compounding of errors in what amounts to a ring of ‘mercury glasses’ joined end-to-end, for a single ‘mercury glass’ has a standard deviation of ±1.7 per cent and five or six are in use at any one time. Errors and omissions in the Castilian account suggest that the translator had never seen the instrument they attempt to describe.The mercury clock of the Libros is not isochronous, and its constant unidirectional rotation contrasts with the oscillators that are the hallmark of all advanced timekeepers. It is concluded that, although an interesting experiment, it had no influence on the evolution of clockwork in the western world. (shrink)

Reproduced with the kind permission of the author. Currently available in the collection I Looked Alive . © 2010 The Brooklyn Rail/Black Square Editions | ISBN 978-1934029-07-7 Originally published 2003 Four Walls Eight Windows. continent. 1.1 (2011): 43-51. Introduction Ben Segal What interests me is instigated language, language dishabituated from its ordinary doings, language startled by itself. I don't know where that sort of interest locates me, or leaves me, but a lot of the books I see in the stores (...) seem to lack language entirely. Gary Lutz (2006). This issue of continent.'s fiction section features a reprint of “This Is Nice of You” from the first edition of Gary Lutz's collection I Looked Alive . That book was originally released by Four Walls Eight Windows in 2003 and has since been reissued in 2010 by The Brooklyn Rail/Black Square Editions. Calamari Press has also reissued Lutz's Stories in the Worst Way (originally published by Knopf, largely forgotten and dismissed, and then re-issued by the too-short-lived 3rd Bed). “This Is Nice of You” was edited for the re-issue of I Looked Alive and, as the original book is out of print, the earlier version of the story has been hard to come by for some time. This initial version is a bit longer than the new version—Lutz is a master of tightening down his texts to their most linguistically intensified cores—but it is in no way sloppy. It is a great privilege for continent. to be able to make available rare texts of (first) aesthetic and (second) scholarly value. For those readers unfamiliar with Gary Lutz, I believe this story will serve as a worthy introduction. Like Raymond Carver, Diane Williams, Christine Schutt, and so many other important twentieth century and contemporary short story writers, Lutz studied with and was edited by Gordon Lish. This connection is apparent in his attention to sound and the sentence as compositional unit, but Lutz's is a unique voice. “This Is Nice of You” bears Lutz's trademark torqued and turning syntax, his sexed-but-nameless characters, his rendering of the human body and its emissions as utterly discomfiting. Lutz's preoccupations with the mundane raise ordinariness, via startling language and observation, to grandiosity and grotesquery. In the fall of 2008, Lutz delivered a lecture entitled “The Sentence is a Lonely Place” to writing students at Columbia University. The lecture was later printed in The Believer (and is linked below). In it, he spoke about the importance of the sentence as a compositional unit, as even the distinguishing formal characteristic of prose. Specifically, Lutz explained that, from Lish, he had developed a "poetics of the sentence." Accordingly, Lutz constructs his stories at the level of the sentence, paying extreme attention to the material of words- their letters and their sounds- and the way they abut one another and interact on this material level even before they are employed in the service of traditional aims of fiction like meaning or story. Lutz often uses a(n almost constraint-related) technique called consecution. Letters or sounds from one word are carried forward into the following, producing drama and movement in the language itself at a level entirely apart from that of plot. For example, you can see how the 't's in the first sentence of “This Is Nice of You” repeat fast and hard through met and then soften into the 'th's of brothers and they. This close attention to the specific material and characteristic conditions of prose means that Gary Lutz's work always involves both a happening in language and of language. “This Is Nice of You” has a richness and depth that is hidden not in symbolism or obscure reference but on the surface of the page, in the language of every sentence. FURTHER READING Lutz, Gary. “ The Sentence Is a Lonely Place. ” The Believer January, 2009. Web. Short stories and excerpts at Web del Sol . Web. Taylor, Justin. “ An Interview with Gary Lutz .” Bookslut. July, 2006. Web. THIS IS NICE OF YOU [156] [1] I was a man dropping already well through my forties, filthy with myself, when, taking a turn at the toilets one afternoon, I met two brothers-they said they were brothers-who swore they had a sister, a schoolteacher, an officer of instruction at the county college, a whirlwind midlife turmoil of everything already put to ruin, who had gone off from a new marriage in an old car, an upkept and ennobling sedan, but had returned now to the apartment and [157] was living there alone with the little runoff there was from the marriage-some outcurved appliances, apparently, and low-posted furniture promoting its own mystery but becoming figurable in certain concentrations of TV light-and, above all, a telephone (on a pedestal, they insisted), the handpiece of which she gripped in lieu of exercise, or in fury, and I thus let out my little, reliable cry that I was in fact a student of the telephone, that it was a debasing apparatus in the main, with its meager economy of bells and tones, and the intimacy of the mouthpiece that sent your breath, tiny aftervapors of it, back toward your lips, so that regardless of the party accepting the outgoing products of your voice, you were, at most, in a further, rivaling exchange with yourself alone, and this is what must have brought the two of them around, the men who proclaimed brotherhood with the woman, because they offered me her phone number, put it at my disposal on a piece of paper one of them had already committed it to, a tearing from a menu, and the looks the men were now giving me had deletions in them, already, of my exact, beanpole shape and size. So off I went to a pay phone, the nearest canopied one I could find. The woman answered after the second ring and said she needed a lift right that very moment into the little, unlevel city close by. She was idling in the doorway of the building when I pulled up in front, and I helped her into the car, then got back in myself. I had always had a way of not having to look at people that nonetheless brought them to me in full, and so I still am certain of the susceptive and impressible comp-[158]lexion, the shimmer on the mouth, a lipstick of low brilliance, a difficulty around the eyes, the hair short and rayed out exclamation ally, skin bagged up over the elbow bone, conflict even in how her arms stayed at her sides—in sum, a spinal loveliness for me, an off-blonde quantity with shadowed, thumbworn hollows that put me out of as much as I might have ever known of women before. I set the two of us into the narrow traffic, and I remember telling her, by way of explaining the little burden which I had shifted, by now, from the shelf of the dashboard and onto my lap, that when you lived in filth, as I then did, a daily newspaper came to count for a lot, although instead of the thick-supplemented local paper I bought a trimmer one from a backlying town—not, of course, for any affluences of native data it carried, but as an article of house ware: a rough immaculacy in four lank sections, a set of fresh, hygienic surfaces to come between the table, say, and whatever I had going for me at the table, if the table was where I was going forward—because what else so cheap comes so clean and far-spreading? The woman told me that her own trouble with paper was that through a modest hole, no larger than a quarter, that had been drilled a foot or so above the floor (the standard height, she had reasoned, of legitimate electrical outlets), and by means of which her faculty office had at last gained communication with the roomier but unoccupied office next door, more and more often shot a single sheet of paper, plain copier paper she had rolled just barely into a tube, [159] so that after landing on the floor of the neighboring office the paper would preserve little if any of the curl, and there would be nothing written or typed on it, of course, and it was always a blank sheet that had been ageing on her desk for some time and had already been moved around, or advanced, from station to station on the desktop, coming into further creaselets and crimps and other infirmities—paper, in short, still too bare and unfraught to be thrown responsibly and forgettably away, and yet too seasoned and beset with irritations of the surface (a molelike blemish, say, or what looked like a tiny hair, an eyelash, sunk into it, or frecklings, or notational pressings of a fingernail), too wrought, in sum, for the paper to be appointed to any secure curricular purpose. Her office, she claimed, was in fact full of such paper, much-handled and singularized sheets of it by the loose, functionless hundred. I had to get it across to the woman that I myself no longer had an office, or any other place to divide me reliably from everybody else, and that for much of the daylight I thus appeared to be among people because I kept putting myself where people came together into even closer-fitting assortments, the viewing areas and showrooms and rotundas and such: I took in the lean-to look of the women, the tongues coming and going in what the men kept thinking of to say—whole families of low knees for me to bark my shins against during the crowded and involving way out. At home afterward, in the one room where my life was packed down, I would keep my nose stuck in the safehold of the phone [160] book, where the names of people suffered reduction to mere episodes of the alphabet and underwent humbling declensions down every column (Lail, Lain, Laine, Lainerd), and he names of streets, of the towns and townships, got docked in crude, heedless abbreviations (the vowels almost always the first to get poked out), and I would run my eyes over the telephone numbers themselves, each sequence of digits another fallible run of the infinite. I thus corrected my feelings for people and assembled myself emotionally into whatever else I had at hand—the obligating arms of the clothes hangers, usually, or the keen-angled understructure, the guardian legginess, of the ironing board. The woman said that in her case, though, it was more a matter of making slow circuits of the classroom where she had to put across the Emporial Sciences, retail theory and methods, to heat-giving and suggestive young women, some of them world cruelties already. There was the cooing of empty stomachs in the hour just before lunch, and the braying and fizzle of loaded stomachs in the low hours of the afternoon. She would recite her notes in a voice barely loyal to anyone octave, a tiny alluvium of slaver hardening at the corners of her mouth on the days she gave the glassy lozenges a slow, warming suck, and she would take lowering notice of how whatever she said succumbed at once to freak spellings and razzing paraphrase in the big, dividered notebooks; and because in midafternoon light the world looked as thorough, as filled in, as it was ever going to get, a better way to set about ruining her eyes was to review how hair had [161] established itself on the arms of the young women, because almost every arm had brought across itself a welcome and diversifying shadow. On one girl it would be a fine, driftless haze afloat above the white of the arm, never seeming to touch down on the skin itself. (An atmosphere, at most, of chestnut brown.) On another, it was as if copper wire, the narrowmost lengthlets of it, had been stuck into the fleshy batter of the thick, freckled forearms. On a third: a field of it–wheat-colored, thin-spun. On a fourth; a differencing, darkish updrift that shaded off as it approached the inner bend of the elbow, then re-emerged at the base of the upper arm as whiskery fringe. On others it was a brassy or rust-colored frizz, or it was as coarse as cornsilk, or it looked fussed on, as if the arm had been slowly stroked with charcoal. But here the woman broke off, or I may well have made an interruption of my own—I think I must have asked whether she was hungry, and she said if I was, and so on one of the lesser streets I parked the car and led her down into a belowstairs eating house I still remembered. Sandwiches were presently lowered in front of us. I watched her remove the festooned toothpick from hers and then play her fingers over the toasted planes before she took a fond first bite. "This is nice of you," she said. I must have looked at her in the way I then had of getting people to speak so they would not seem to be dwelling any longer on my features, because if on the well-set face the mouth and eyes are said to seem frozen in elegant orbit about the til) of the nose, then mine was a face that behold-[162]ers, regarders, could not help trying to round off with greater success, to goad the particulars of it back into the arcs they had wandered away from—the mouth, for instance, having been pursed and pinched suchwise that it seemed resident more on one side of the face than the other—and there were other signs of original strife to be busied with (slapdash eyebrows unbunched, it appeared, from reserves of hair elsewhere on my person; a showing of adult acne, a shrivelly little relevance of it, confined to the declivity of my nose); and so to be polite, the woman thus sank her gaze into her sandwich, and told me, in a voice lowered accordingly, that, one late-childhood summer, she had devoted herself to collecting postage stamps: it was a tongue-involving sideline to early-arriving puberty, and she liked having to lick the pale, gummed hinges instead of the sticky backs of the stamps themselves before entering everything into the hosting album; and once, during some foul weather between her and a brother (the older, thrown-over one, who had already made a habit of fooling the underside of his arm across the top of hers and calling her "pussified"), she reached for the shoe box in which she had let duplicate stamps accumulate—Spanish ones, mostly, of a fading orange—and sent the box slooshing through the lower air so that the stamps showered onto the brother's bare legs with a full, delicate harm. The woman was now touching up the surface of her iced tea with tiny activities, initiatives, of the longspun spoon. I myself was good at getting my touch onto things, although in a way that seemed to mix up the motive atoms inside [163] them, but I was satisfied that for the moment my sandwich, the unbitten-at half of it, was displayable and fit and local to my plate. The woman went on to say that, as a child, she had been bundled off, many an afternoon, to the slope-ceilinged quarters of a bachelor uncle who, when speaking of anybody not immediately present, could not bring himself to use the person's name but instead would say "an acquaintance of mine in ..." and then mention the name of some lapsed homeland, or little-loved rural orchestra, or backset building about to come down; and it was never a riddle, this device of his (not once could the girl have been expected to identify any of the subjects), and no matter how often and aloud he insisted that particularizing persons any further—bringing even a first name down upon anyone of them—would have been indecent, he claimed, much like doing things to people while they slept, the girl accepted all of the uncle's prim and extravagant evasion for what he surely must have intended it to be: a neat, protective trick to space the world out a little further in her favor, to scatter the population so that wherever her hand might at last come down, it would have to be on herself alone. And here I could sense that the woman wanted from my mouth an account of as much as I myself might have ever managed of attachment, so I told her I had once owned a house (a rising, really, of much-fingered, handwrought architecture that amounted to a little family of rooms above garages: a boxlike building with a rattly thorax of downspouts [164] and drainpipes and an unfolded but full-toned fire escape), and I had had for a time a boarder, a student, a high-colored, loose-packed representative of declining girlhood, hung with necklaces and barrettes, a girl of precise but shifting leanings and inclinations; and the afternoon she had come round to ask after the room, I stood in the entranceway, handshaken and asweat, and from what would later be my memory of the girl, I made off with, first, how every pore of her nose seemed to be sheltering within itself a tiny dark seedlet, a grain of something immediately, enormously valuable. And an almost lipless mouth (just a slit, practically), the teeth inside looking wet, watered-it was my life's chore, at that instant, to keep from sending the back of my thumb blotterlike across the line of them (I was later to learn she drank everything cold and through the narrowest of straws). And her hair: it was tea-colored hair she had, long and reachful, an unstopped downcome of it. Tall for a girl, but she managed to stay out of much of her height and put herself across as somebody backward, or behind. I must have told the girl, as best I could, that I of course had a wife, a full-faced, imperishable partner, though for the moment she was gone otherwhere in the marriage, and here the woman, my present companion, my tablemate, whose feet were now parked, in parallel, on the grade of my upper leg, interrupted to say that her husband, too, had been such a liar, and what could I bring up by way of reply other than that a lie is a truth struck through with other, further truth, or that a lie is the present multiplied by the past or that a lie [165] is an outcry of borrowed hope? The woman gave me an allowed look of disgust, her eyes lowered but still popular with me, and on I went with what had now become the girl of my story. For there had been a great, gainful carpet in the room I put the girl into, a matty expanse of coarse, grabby piles, an engrossing affair that took things into itself and held them tight, misered them, and I of course insisted that the girl not bother herself with its upkeep, that I enjoyed weekly access to a prestigious, upstanding vacuum cleaner; but no sooner was the girl out of the house each morning than I would withdraw from my room, where time was unportionable, and loose myself into the ticktock impertinence of the girl's room and get down on my knees, and, going after the carpet first with my fingers, then with a forceps, and finally by unspooling lengths of clear package-sealing tape and pressing them against the tufts in neat rectangles to catch what I might have missed, I brought vast tracts of the carpet to depletion, recovering not simply the girlinesses, the girleries, one would expect (buttons, straight pins, downed jewelry), but flirtier personalia in the form, say, of a stray confetto brought into the world when a page had been wrung with out caution from a spiral-bound notebook, or some pleated paper shells of the chocolates she required, or one of the bargain antihistamines she took to get her naps going, or a trash-bag tie ragged enough to show the kinked line of the wire within (this I would get wound around my finger), or a cough drop enwrapped like a bonbon (I would undo the [166] wings of the wrapper and have to decide whether to suck the drop all down or begin chewing it midway)—I became the following, the public, that these things, these off-faIlings, had come to have; but mostly there was hair, afloat above the uppermost pushings of the fabric of the carpet an almost continuous haziness of loose hairs of all lengths and sources, and I would have to set them out on a fresh sheet of paper and assort them according to the regions of the body they had taken their departure from, and in no time I had nest-like filiations of broken filaments and smaller involvements of the hairs that made me think of hooks, of barbs, of treble clefs, and each pile required a separate envelope, to be filed in a separate shoe box for every sector of the body until, I hoped, the boxes themselves would no longer be enough and I would have raised something semblable, brought up something equal in volume to the comprehensive girl herself. And her wastebasket! For every bit of rubbish, every dreariment she tossed into the thing, I would, in secret, deposit a reciprocal discard of my own, matching a spotted, confessory tissue of hers with a lurid throwaway after my own heart–the cardboard substructions of a fresh parcel of underwear, maybe, or tearings from pantyhose I now and again pressed against a span of my forearm to work onto it the complications of female shading I otherwise made do, choosily, without. I thus built the two of us up together in her trash! One afternoon-it was another of those lifeful, unsam-[167]pled days on which the world humors us each a little differently to keep us nicely on our last legs—I discovered in the wastebasket an inch-deep textbook of hers, a paperback with a celery-colored cover that had come partly unglued, and this dilapidation I paired off, naturally, with a name-your baby guide to whose pages, during my recurrent turnings of them, in bed or at table, I had contributed dried produces of my person, a chemical splendor entirely mine. This coupling sent a sudden spigoty thrill from me that forced an unbuckling and an unzipping and a cleanup with a handkerchief I then ventured responsively into the wastebasket as well. It was in the bathroom afterward that I found a suds-clouded puddle on the unlevel floor of the tub, a little undrained remainder, rimmed with offscum, of the girl's prolonged early-morning soak, and this was as much as I needed to get on my hands; I pressed them flat against the wet porcelain, then flapped them around in the air, and that was when I noticed it—in the amphitheater of the toilet bowl, an orange-yellow tint, or value, to the waters. When the girl arrived home that evening, I told her, of course, that I had discovered fresh, unforeseen trouble within the tank of thelet (a misalignment of the trip lever, a waywardness of the float ball, a ulation of the lift wires, kinks and defects, really, throughout the entire system) and that in fine it was an apparatus now operable only by means of advanced and strenuous equilibrial manipulations that it would be unseemly, inhospitable, of me to pre-[168]sume to burd to burden her with–so that from here on out, following any leak or evacuation she need merely lower the lid and then, before quitting the room, ring the handbell that had been placed on the would seeeverythinghing else. But the bell never rang, not even once, and from my window the next morning I watched the girl carry from the house a little plastic bag distended balloonishly, much like those bags you will remember having seen in the hands of children bearing homeward their solitary carnival-prize goldfish. In fact, I never ran across the likes of the girl again. The man who came to collect her things-not the father, apparently, but an advocate, an upholder-l found to be dull-eared and lax in his speech, and the better part of his face seemed to have already begun making tiny, rotational departures from whatever it was that the eyes, themselves impressively mobile, were just that moment having to take in. (Was there a lamp in the house that was not that night slopping its wattage over everything?) I guess I was waiting for the man to take a laggard, last-minute interest in me, and by now I was pushing everything out into the paired first person–it was, I said, “Our night shot,” and I began including the two of us in whatever it might be doing out, the expected sprinkles and such—but he was no friendship buff, and he paid no heed to my telling him that the only dress of hers I'd ever twidged myself into even part of the way had been the simplest of them all, a large-buttoned wonder of depthless blue, and then only on the principle that one naturally fits whatever one has into whatever somebody else [169] had first, or how else would the world keep getting any taller with people? The man just went about the removal of the girl's things without having to be reminded too noticeably, I guess, of how every dick hangs by a thread. My listener, though, had by this time brought about some becoming slowings of her arm—it was an arm inclinable to langorous diagonals and magicianly swoops through the air above the tabletop—but it no longer was involving itself with her plate, so I suggested we shove off, I made payment for the food, and on our way to the car, and then in the car as I took to following her pointings, the directional tilts of her head, she said that you naturally kept putting more and more of yourself into another person, at first wondering how much she can take, how much of you is accumulable and how much she can hold, and you're letting things out, disbursing yourself, and you've soon got things set up in her, and room is being made for even more of you, and if you bring this off with enough people, even two or three, what you've got is at first a comfort, because you can pass yourself along and move a little more widely through the world and leave it to these others to man your grievances, your disappointments; and what brought this to mind, the woman said, was a term of financial hardship she had contrived for herself a few years back, an unpaid leave of absence from scrupling letter grades onto quiz papers (propped-up As, and upended Bs made to look, rather, like fannies; all As and Bs, no Cs or anything lower, the difference between an A and a B having less to do with the accuracy of whatever facts might [170] have been impounded in provided for an answer than with anything recallable about the way the enrollee ad conformed her body to the confining perpendiculars of her chair and the navel-level writing surface that projected from it, or the way there might one day have been an unignorable blush on the instep of a once-moseying foot, disburdened of its shoe, that had got itself trapped in the grillwork of that cagelike involvement, intended for books, that was welded to, or otherwise schemed into, the underworks of the chair)—this had been a duration, in short, of controlled difficulty when the misexpenditure of even a twenty-dollar bill had set her thrilling, gloating, over everything she would miss out on, and one afternoon she had made an engagement for a haircut, just a trim, and very early in the session the haircutter, a woman ill-defined in the face but otherwise full of conspicuities of emotion, set down the prevailing scissors and pressed the flat of a lukewarm hand against the woman's cheek, held it there for a good minute or longer, while the other hand eventually found its way into a drawer, a shallow treasury of slender specialty scissors, one pair of which the cutter withdrew and began routing deductively through the woman's hair, the other hand staying put on the cheek, longer and longer, and the woman went home and for afterward the bathtub was now a more likely destination than any of the upright furniture, and it got easier to fill the tub with further clarifying volumes than to clear space on the difficult heights of the sofa, and she was hardly claiming to have become a cleaner [171] person in result—she in fact would often discover, voyaging about her body, a browned, fractionary detail of a larger crepe of toilet tissue that must have got itself stuck in some assy crevice and was impossible to get plucked out of the revolving suds—she was saying only that she spent more and more of her time thus immersed, ill off in water, and the haircutter had surely had a hand in it, the woman was doing some of the cutter's life now, coming into some of its wrong, because you sometimes have to look to somebody else's life to get dimensions set back even part of the way around your own, and it should not have to be any less your own life when it comes from somebody else, and you could surely fudge a society out of anyone available person and get this person doubling for the many, so that in the little run of things perpetuable from one person to the next, every loose moment stood to become a complete, active finality. But by now this was a new day, with only an hour or so off it already, and the place the woman had made me bring us to, the man's place, with a promise that the man was elsewhere—this was on a little offshoot of a street, a stewy efficiency apartment the color had long ago gone out of; and when, once in bed, still clothed, I found among the sheets and blankets a spoiling pair of the man's underpants, one of the leg openings of which was puckered into an avid, sloppy mouth, I held myself accountable for redisposing the fabric until I got a befitting featurelessness back onto it; but all the while, I am sure I had to make myself go over again in my mind that if the body is the porter of as many organs of affec-[172]tion as there might one day turn out to be, then the idea was to let the thing carry you to where you would otherwise never have any reason to arrive, because I listened for the unmelodiof the the thede ofthe woman's zipper, and then the woman made me put myself out of my own clothes, the attritional corduroys and overshirt, and got herself up at last onto the topic not of the man whose apartment it was (because his story was scarcely the story of how the boy who decides he is half a girl no sooner starts to worry about where the other half might than he gets careless with where he rests his eyes, or what he gives even the feeblest of fingerholds to, and anything, even a crumbly triangle of pie offered on a saucer instead of on a pie plate proper, comes in easy, ready, wronging answer), but of her husband, and how, no more than a couple of months into the marriage, he had begun snugging away in his undershorts a little source of chanc, reliable frictions to nudge him onward through the workday—anything company-keeping that could be counted on not to slide out of the elasticky leg holes: a half-dollar packet of chocolate tittles, maybe, that was barely noticeable in the baggy surround of the widecut trousers so popular at the time. For by now the woman had at last brought what is usually called the other mouth to within only inches of my lips, but it is not a mouth, obviously, although I let myself go along with the goodwill behind the comparison, the way I will remain loyal to anything deliberately and faithfully misunderstood, and I fussed my tongue against the vital trifles hung inside of her, as much of the curtailed finery as I could find, [173] and gave the whole insimplicity of it a slow-circling, examinational lick, until I was taking a sudden tepid downwash on the tongue. It was a familiar, latrine in dribble that must have tasted, no doubt, like trouble just starting out.p [1] Editor's Note: Original pagination from first edition print denoted with bracketed page numbers. (shrink)

The boundary of a boundary principle in field theories is described. The difference in treatment of the principle in electrodynamics and general relativity is pointed out and reformulated in terms of underlying mathematical structure of the theories. The problem of unifying the treatment is formulated and solved. The role of E. Cartan's concept of the moment of rotation associated with the curvature of a Levi-Civita connection on a frame bundle is shown to be crucial for the unification. The analysis of (...) the boundary of a boundary principle in Kaluza-Klein theory is performed and the recipe for a unified treatment of the principle in electrodynamics and general relativity is shown to follow from the analysis. It is pointed out that the unification cand be extended to Yang-Mills fields easily. (shrink)

When Kant finished the Critique of Pure Reason in 1781, he was 56 years old and had already published more than 25 essays and monographs. In this precritical oeuvre the young Kant unabashedly answered some of the most difficult questions of theoretical physics, physical geography, cosmology, theology, and moral theory, advancing ambitious theories about the origin and history of the universe, the nature of space, the age of the earth and the stability of its rotation, the causes of earthquakes, winds, (...) and fire, the ultimate components of reality, the soundness of optimism, the legitimate domain of logic, the character of the beautiful and the sublime, the first principles of theology and morality, the possibility of proving God’s existence, and—tellingly, at the end—the connection between metaphysics and madness. Since this dizzying speculative array appears to be unified only by the young Kant’s “metaphysical exuberance”, his precritical thought is often dismissed as the work of an unfocused dilettante. (shrink)

A primer on legal issues relating to cyberspace, this textbook introduces business, policy and ethical considerations raised by our use of information technology. With a focus on the most significant issues impacting internet users and businesses in the United States of America, the book provides coverage of key topics such as social media, online privacy, artificial intelligence, and cybercrime as well as emerging themes such as doxing, ransomware, revenge porn, data-mining, e-sports and fake news. The authors, experienced in journalism, technology (...) and legal practice, provide readers with expert insights into the nuts and bolts of cyber law. Cyber Law and Ethics: Regulation of the Connected World provides a practical presentation of legal principles, and the book is essential reading for non-specialist students dealing with the intersection of the internet and the law. (shrink)