We classify countable metrically homogeneous graphs of diameter 3.

We classify countable metrically homogeneous graphs of diameter 3.

In the approximation that every inertial observer experiences a homogeneous, uniform flow of time and sees a space that is Euclidean, the arena of physics is Minkowskian and one speed is the same in all intertial frames. If a given intertial observer finds an infinitesimal source or particle traveling faster than this fundamental speed near a given event, the source must appear in some inertial frame spread over neighboring positions at a given time as a spacelike structure. If this (...) structure persists over a period of proper time, it can be interpreted as a wave group. If it is conserved, it can be interpreted as a line or tube of force. (shrink)

Some arguments, based on the possible spontaneous violation of the cosmological principle (represented by the observed large-scale structures of galaxies), on the Cartan geometry of simple spinors, and on the Fock formulation of hydrogen atom wave equation in momentum space, are presented in favor of the hypothesis that space-time and momentum space should be both conformally compactified and should both originate from the two four-dimensional homogeneous spaces of the conformai group, both isomorphic (S 3 ×S 1)/Z 2 and (...) correlated by conformal inversion, but should not necessarily be identified with them. Within this framework, the possible common origin for the SO(4) symmetry underlying the geometrical structure of the Universe, of Kepler orbits, and of the H atom is discussed. One of the consequences of the proposed hypothesis could be that any quantum field theory should be naturally free from both infrared and ultraviolet divergences. But then physical spaces defined as those where physical phenomena may be best described through some set of fields, could be different from those homogeneous spaces. A simple, exactly soluble, toy model, valid for a two-dimensional spacetime, is presented where the conjectured conformally compactified homogeneous spaces are both isomorphic to (S 1 ×S 1)/Z 2,while the possible physical spaces could be two finite lattices which are dual since Fourier transforms, represented by finite, discrete, sums, may be well defined on them. (shrink)

Quantum Theory, similar to Relativity Theory, requires a new concept of space-time, imposed by a universal constant. While velocity of lightcnot being infinite calls for a redefinition of space-time on large and cosmological scales, quantization of action in terms of a finite, i.e. non vanishing, universal constanthrequires a redefinition of space-time on very small scales. Most importantly, the classical notion of “time”, as one common continuous time variable and nature evolving continuously “in time”, has to be replaced by an infinite (...) manifold of transition rates for discontinuous quantum transitions. The fundamental laws of quantum physics, commutation relations and quantum equations of motion, resulted from Max Born’s recognition of the basic principle of quantum physics:To each change in nature corresponds an integer number of quanta of action. Action variables may only change by integer values ofh, requiring all other physical quantities to change by discrete steps, “quantum jumps”. The mathematical implementation of this principle led to commutation relations and quantum equations of motion. The notion of “point” in space-time looses its physical significance; quantum uncertainties of time, position, just as any other physical quantity, are necessary consequences of quantization of action. (shrink)

We give an affirmative answer to the following question: Is any Borel subset of a Cantor set C a sum of a countable number of pairwise disjoint h-homogeneous subspaces that are closed in X? It follows that every Borel set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${X \subset {\bf R}^n}$$\end{document} can be partitioned into countably many h-homogeneous subspaces that are Gδ-sets in X.

Maintenance and promotion of patient dignity is an ethical responsibility of healthcare workers. The aim of this study was to investigate patient dignity and related factors in patients with heart failure. In this qualitative study, 22 patients with heart failure were chosen by purposive sampling and semi-structured interviews were conducted until data saturation. Factors related to patient dignity were divided into two main categories: patient/care index and resources. Intrapersonal features (inherent characteristics and individual beliefs) and interpersonal interactions (communication, respect, enough (...) information, privacy, and authority) were classified as components of the patient/care index category. Human resources (management and staff) and environmental resources (facilities and physical space) were classified as components of the resources category. The results will increase healthcare staff's understanding of patient dignity and its related factors, and provide information regarding the development of systems and processes that support patients in ways that are consistent with these values. (shrink)

Dominic Lopes proposes that seeing-in admits of kinds. He thus suggests five ways of seeing-in that he feels do justice to the variety of pictorial representations. More recently Dan Cavedon-Taylor has argued that the space of seeing-in marked out by Lopes is incomplete, and thus proposes a sixth kind of seeing-in that fits neatly into the taxonomy. I argue that the phenomenon of seeing-in does not divide in as many ways as Lopes and Cavedon-Taylor propose. I show that the purported (...) cases of pseudo-design seeing do not demonstrate that actual design properties are not experienced and as such these cases can be captured by the other ‘ways of seeing-in’ that Lopes identifies. I also argue against the claim that actualism is a distinct kind of seeing-in. Thus the space of seeing-in ought to be significantly reduced. (shrink)

This is a study of the nature of time. In it, redeploying an argument first presented by McTaggart, the author argues that although time itself is real, tense is not. He accounts for the appearance of the reality of tense - our sense of the passage of time, and the fact that our experience occurs in the present - by showing how time is indispensable as a condition of action. Time itself is further analysed, and Dr Mellor gives answers to (...) most of the metaphysical questions it provokes, concerning the relation of time to space, the dissection of time, and its relation to change and causation. (shrink)

Patient support tools have drawn on a variety of disciplines, including psychotherapy, social psychology, and social care. One discipline that has not so far been used to support patients is philosophy. This paper proposes that a particular philosophical approach, phenomenology, could prove useful for patients, giving them tools to reflect on and expand their understanding of their illness. I present a framework for a resource that could help patients to philosophically examine their illness, its impact on their life, and its (...) meaning. I explain the need for such a resource, provide philosophical grounding for it, and outline the epistemic and existential gains philosophy offers. Illness often begins as an intrusion on one’s life but with time becomes a way of being. I argue that this transition impacts on core human features such as the experience of space and time, human abilities, and adaptability. It therefore requires philosophical analysis and response. The paper uses ideas from Husserl and Merleau-Ponty to present such a response in the form of a phenomenological toolkit for patients. The toolkit includes viewing illness as a form of phenomenological reduction, thematizing illness, and examining illness as altering the ill person’s being in the world. I suggest that this toolkit could be offered to patients as a workshop, using phenomenological concepts, texts, and film clips to reflect on illness. I conclude by arguing that examining illness as a limit case of embodied existence deepens our understanding of phenomenology. (shrink)

A fundamental link between system theory and statistical mechanics has been found to be established by the Kolmogorov entropy K. By this quantity the temporal evolution of dynamical systems can be classified into regular, chaotic, and stochastic processes. Since K represents a measure for the internal information creation rate of dynamical systems, it provides an approach to irreversibility. The formal relationship to statistical mechanics is derived by means of an operator formalism originally introduced by Prigogine. For a Liouville operator L (...) and an information operator $\tilde M$ acting on a distribution in phase space, it is shown that i[L, $\tilde M$ ]≡KI (I=identity operator). As a first consequence of this equivalence, a relation is obtained between the chaotic correlation time of a system and Prigogine's concept of a “finite duration of presence.” Finally, the existence of chaos in quantum systems is discussed with respect to the existence of a quantum mechanical time operator. (shrink)

The European Union welfare standardsfor intensively kept pigs have steadilyincreased over the past few years and areproposed to continue in the future. It isimportant that the cost implications of thesechanges in welfare standards are assessed. Theaim of this study was to determine theprofitability of rearing pigs in a range ofhousing systems with different standards forpig welfare. Models were constructed tocalculate the cost of pig rearing (6–95 kg) in afully-slatted system (fulfilling minimum EUspace requirements, Directive 91630/EEC); apartly-slatted system; a high-welfare,straw-based system (...) (complying with the UK-basedRoyal Society for the Prevention of Cruelty toAnimals, Freedom Food standards) and afree-range system. The models were also used toassess the consequences of potential increasesin space allowance, and to estimate the cost ofrearing pigs under organic standards.The cost of rearing pigs ranged from92.0 p/kg carcass weight (cw) and 94.6 p/kgcw forthe partly-slatted and fully-slatted systems,to 98.8 p/kgcw and 99.3 p/kgcw for the FreedomFood and free-range systems respectively. Whenspace allowance was increased by 60% to levelsin a recent proposal to revise pig welfareDirective (91/630/EEC), the rearing costs wereunchanged for the free-range system but rose by4.6 p/kgcw for the fully-slatted system. Rearingcosts under organic standards were 31% higherthan in the free-range system. These resultssuggest that improved pig welfare can beachieved with a modest increase in cost. (shrink)

When confronted with an ethical dilemma, most of us like to think we would stand up for our principles. But we are not as ethical as we think we are. In Blind Spots, leading business ethicists Max Bazerman and Ann Tenbrunsel examine the ways we overestimate our ability to do what is right and how we act unethically without meaning to. From the collapse of Enron and corruption in the tobacco industry, to sales of the defective Ford Pinto, the downfall (...) of Bernard Madoff, and the Challenger space shuttle disaster, the authors investigate the nature of ethical failures in the business world and beyond, and illustrate how we can become more ethical, bridging the gap between who we are and who we want to be. Explaining why traditional approaches to ethics don't work, the book considers how blind spots like ethical fading--the removal of ethics from the decision--making process--have led to tragedies and scandals such as the Challenger space shuttle disaster, steroid use in Major League Baseball, the crash in the financial markets, and the energy crisis. The authors demonstrate how ethical standards shift, how we neglect to notice and act on the unethical behavior of others, and how compliance initiatives can actually promote unethical behavior. They argue that scandals will continue to emerge unless such approaches take into account the psychology of individuals faced with ethical dilemmas. Distinguishing our "should self" from our "want self", the authors point out ethical sinkholes that create questionable actions. Suggesting innovative individual and group tactics for improving human judgment, Blind Spots shows us how to secure a place for ethics in our workplaces, institutions, and daily lives. (shrink)

Standard pedagogy treats topics in general relativity (GR) in terms of tensor formulations in curved space-time. An alternative approach based on treating the vacuum as a polarizable medium is presented here. The polarizable vacuum (PV) approach to GR, derived from a model by Dicke and related to the “THεμ” formalism used in comparative studies of gravitational theories, provides additional insight into what is meant by a curved metric. While reproducing the results predicted by GR for standard (weak-field) astrophysical conditions, for (...) strong fields a divergence of predictions in the two formalisms (GR vs. PV) provides fertile ground for both laboratory and astrophysical tests to compare the two approaches. (shrink)

The relation between quantum measurement and thermodynamically irreversible processes is investigated. The reduction of the state vector is fundamentally asymmetric in time and shows an observer-relatedness which may explain the double interpretation of the state vector as a representation of physical states as well as ofinformation about physical states. The concept of relevance being used in all statistical theories of irreversible thermodynamics is demonstrated to be based on the same observer-relatedness. Quantum theories of irreversible processes implicitly use an objectivized process (...) of state vector reduction. The conditions for the reduction are discussed, and it is concluded that the final (subjective) observer system may be carried by a space point. (shrink)

The aim of this article is to give more insight into what ethical challenges clinicians in mental healthcare experience and discuss with a Clinical Ethics Committee in psychiatry in the Region of Southern Denmark. Ethical considerations are an important part of the daily decision-making processes and thereby for the quality of care in mental healthcare. However, such ethical challenges have been given little systematic attention – both in research and in practices. A qualitative content analysis of 55 written case-reports from (...) the Clinical Ethics Committee. The Committee offers clinicians in mental healthcare structured ethical analyses of ethical challenges and makes a thorough written case-report. The ethical challenges are grouped into three overarching topics: 1. Clinicians and their relation to patients and relatives. 2. Clinicians and institutional aspects of mental healthcare 3. Clinicians and mental healthcare in a wider social context. Through presentation of illustrative examples the complexity of daily clinical life in mental healthcare becomes evident, as well as typical interests, values and arguments. This qualitative study indicates that difficult ethical challenges are an inherent part of mental healthcare that requires time, space and competence to be dealt with adequately. (shrink)

When confronted with an ethical dilemma, most of us like to think we would stand up for our principles. But we are not as ethical as we think we are. In Blind Spots, leading business ethicists Max Bazerman and Ann Tenbrunsel examine the ways we overestimate our ability to do what is right and how we act unethically without meaning to. From the collapse of Enron and corruption in the tobacco industry, to sales of the defective Ford Pinto, the downfall (...) of Bernard Madoff, and the Challenger space shuttle disaster, the authors investigate the nature of ethical failures in the business world and beyond, and illustrate how we can become more ethical, bridging the gap between who we are and who we want to be. Explaining why traditional approaches to ethics don't work, the book considers how blind spots like ethical fading--the removal of ethics from the decision--making process--have led to tragedies and scandals such as the Challenger space shuttle disaster, steroid use in Major League Baseball, the crash in the financial markets, and the energy crisis. The authors demonstrate how ethical standards shift, how we neglect to notice and act on the unethical behavior of others, and how compliance initiatives can actually promote unethical behavior. They argue that scandals will continue to emerge unless such approaches take into account the psychology of individuals faced with ethical dilemmas. Distinguishing our "should self" from our "want self", the authors point out ethical sinkholes that create questionable actions. Suggesting innovative individual and group tactics for improving human judgment, Blind Spots shows us how to secure a place for ethics in our workplaces, institutions, and daily lives. (shrink)

Empirical and theoretical evidence show that the astrophysical problem of dark matter might be solved by a theory of Einstein-Mayer type. In this theory, up to global Lorentz rotations, the reference system is determined by the motion of cosmic matter. Thus, one is led to a “Riemannian space with teleparallelism” realizing a geometric version of the Mach-Einstein doctrine. The field equations of this gravitational theory contain hidden matter terms, where the existence of hidden matter is inferred solely from its gravitational (...) effects. It is argued that, in the nonrelativistic mechanical approximation, they provide an inertia-free mechanics, where the inertial mass of a body is induced by the gravitational action of the comic masses. Interpreted from the Newtonian point of view, this mechanics shows that the effective gravitational mass of astrophysical objects depends on r such that one expects the existence of dark matter. (shrink)

According to the Einstein-Mayer theory of the Riemanniann space-time with Einstein-Cartan teleparallelism, the local Lorentz invariance is broken by the gravitational field defining Machian reference systems. This breaking of symmetry implies the occurrence of “hidden matter” in the Einstein equations of gravity. The hidden matter is described by the non-Lorentz-invariant energy-momentum tensor $\hat \Theta _{ik}$ satisfying the relation $\hat \Theta _{i;k}^k = 0$ . The tensor $\hat \Theta _{ik}$ is formed from the Einstein-Cartan torsion field given by the anholonomy objects, (...) FAik=2hA[i,k], and appears together with Hilbert’s energy-momentum tensor T* ik and Poincaré’s pressure λgik on the right-hand side of Einstein’s equations so that one has $$R_{ik} - (1/2)g_{ik} R = - \kappa T*_{ik} - \lambda g_{ik} - \hat \Theta _{ik}$$ According to this theory, in the universe and in cosmic systems one must excep “invisible masses” described by the Poincaré and Einstein-Cartan terms to exist. The torsion field FAik makes the space-time a Machian universe; it is of the same nature as the “weak interacting matter” discussed in astrophysics. (shrink)

The two theories that revolutionized physics in the twentieth century, relativity and quantum mechanics, are full of predictions that defy common sense. Recently, we used three such paradoxical ideas to prove “The Free Will Theorem” (strengthened here), which is the culmination of a series of theorems about quantum mechanics that began in the 1960s. It asserts, roughly, that if indeed we humans have free will, then elementary particles already have their own small share of this valuable commodity. More precisely, if (...) the experimenter can freely choose the directions in which to orient his apparatus in a certain measurement, then the particle’s response (to be pedantic—the universe’s response near the particle) is not determined by the entire previous history of the universe. Our argument combines the well-known consequence of relativity theory, that the time order of space-like separated events is not absolute, with the EPR paradox discovered by Einstein, Podolsky, and Rosen in 1935, and the Kochen-Specker Paradox of 1967 (See [2].) We follow Bohm in using a spin version of EPR and Peres in using his set of 33 directions, rather than the original configuration used by Kochen and Specker. More contentiously, the argument also involves the notion of free will, but we postpone further discussion of this to the last section of the article. Note that our proof does not mention “probabilities” or the “states” that determine them, which is.. (shrink)

A defense of the embattled concept of aesthetic distance is achieved by reinstating a prominent feature of distance ignored in the current controversy. Distance is not the only supposed psychological posturing discussed by bullough, But also the space which is necessary to art between the art medium and the world represented therein. Examples from painting, Film and absurdist literature are discussed in terms of the historical tension between medium "opacity" and "transparency" in order to show how total transparency is avoided (...) to create the space between the art medium and reality, Without which art can neither "say" anything nor even exist. (shrink)

Summary. — The following theorem is proved.: If the statistical predictions of quantum theory are true in general and. if the macroscopic world is not radically different from what is observed, then what happens macroscopically in one space-time region must in some cases depend on variables that are controlled by experimenters in far-away, space-like-separated. regions. By what happens macroscopically in one space-time region is meant specifically the occurrence or nonoccurrence of a macroscopic event, such as the d.etection and recording of (...) a particle by some macroscopic device. By a variable controlled. by an experimenter in a certain space-time region is meant specifically the experimental setting in that region of some macroscopic device, in which this setting is controlled. by an experimenter acting within that region. The theorem pertains speci6cally to experimental situations in which there .are two far-apart, spacelike-separated. regions in each of which there is a device that can be set at either of two alternative settings by an experimenter acting within ' that region. There. is also a long sequence of experimental results (4.e. events) in each of the two regions. The theorem asserts that, for some such cases, it is mathematically impossible, within the manifold. (shrink)

The spatial dynamics of the optical emission from an array of 50 times 50 individual microcavity plasma devices is investigated. The array is operated in argon and argon-neon mixtures close to atmospheric pressure with an ac voltage. The optical emission is analysed with phase and space resolution. It has been found that the emission is not continuous over the entire ac period, but occurs once per half period. Each of the observed emission phases shows a self-pulsing of the discharge, with (...) several bursts of emission of fixed width and repetition rate. The number of emission bursts depends on applied voltage and frequency. Spatially resolved measurements prove that the emission bursts are formed by overlapping emission pulses from single discharge cavities. Intensity differences between positive and negative half-wave can be interpreted through spatially resolved measurements of single discharge cavities. (shrink)

Au renouveau indéniable de la théologie de la création, ne semble pas correspondre, dans l’expérience d’un bon nombre de chrétiens de notre temps, un intérêt égal pour l’affirmation de la création du monde ou de Dieu créateur. Comment expliquer cette disparité ? La croyance à la création revêt deux formes, l’une faible, celle du théisme, l’autre forte, celle de la foi scripturaire liée à l’Alliance, et il semble que la seconde cherche à assumer la première comme une voie sapientielle de (...) portée universelle ; mais la foi de nombreux chrétiens ne paraît même pas impliquer cette croyance faible. Cet oubli appauvrit sans doute leur foi, mais peut s’expliquer : la sécularisation a produit un effacement de la notion de création, qui a perdu son évidence culturelle, la question de l’origine est laissée à la science, le croyant trouve Dieu dans la proximité du présent et ne le cherche plus dans l’espace originaire, et des attitudes croyantes, autrefois liées à cette notion, s’expriment aujourd’hui autrement sans altération de la foi. La théologie aurait avantage à analyser le lien de la création à la culture, et à expliciter le rôle qu’y joue l’Esprit Saint dans une perspective mystique d’anéantissement ou de « décréation ».Despite an undeniable renewal of creation theology, a good number of contemporaneous Christians do not seem to have the same interest in affirming the world’s creation or a God creator. How can this disparity be explained ? Belief in creation takes on two forms : a weak one of theism and a strong one of scriptural faith tied to the Covenant. It seems that the second tries to assume the first as a sapiential way with universal import. The faith of numerous Christians, however, does not seem to even imply this weak belief. Without doubt, this omission impoverishes their faith but can be explained : secularization wiped out the idea of creation when it lost its cultural importance. The question of origins is left to science, ; the believer finds God in the proximity of the present and no longer looks for the original space. It is also true that believing attitudes, which were tied to this notion in the past, express themselves today in another way, without changing the faith. Theology would be better off if it analysed the connection of creation to culture and make explicit the role that the Holy Spirit plays in the mystical perspective of annihilation or of “de-creation”. (shrink)

Conspectus of part of John R. Smythies' Analysis of Perception (1956). It presents a summary of his ideas on phenomenal space – the space of one’s imagination, dreams, psychedelic experiences, somatic sensations, visions, hynagogia, etc. – and its relation to physical space.

A formulation of relativistic quantum mechanics is presented independent of the theory of Hilbert space and also independent of the hypothesis of spacetime manifold. A hierarchy is established in the nondistributive lattice of physical ensembles, and it is shown that the projections relating different members of the hierarchy form a semigroup. It is shown how to develop a statistical theory based on the definition of a statistical operator. Involutions defined on the matrix representations of the semigroup are interpreted in terms (...) ofCPT conjugations. The theory of particles of spin one-half and systems with higher spin is developed from first principles. Methods are also developed for defining energy, momentum, orbital angular momentum, and weighted spacetime coordinates without reference to a manifold. (shrink)

Although the responsibility for health debate has intensified in several ways between Norman Daniels’ 1985 Just healthcare and Just health: meeting health needs fairly of 2008, comparatively little space is dedicated to the issue in Just health, and Daniels notes repeatedly that his account “says nothing about personal responsibility for health”. Daniels considers health responsibility mainly in a particular luck-egalitarian version which he rejects because of its potentially unfeasible, penalising and inhumane character. But I show that he nonetheless acknowledges and (...) endorses explicitly other dimensions of health responsibility. I develop a wider, more nuanced and less punitive concept of health responsibility, which expands Daniels’ brief consideration and is compatible with the overall approach set out in Just health. In its application to preventative medicine and health promotion in particular, the concept is suited to support and complement the notion that “health is special”, which is central in Just health. The concept of health responsibility as co-responsibility specifies the subjects and objects of health responsibilities. It permits the attribution of responsibility without blame and disconnects the question of assigning responsibility from decisions about entitlement to treatment or different status in prioritisation decisions. This approach secures conceptual plausibility and clarity of the concept of health responsibility, is of use in policy making, and can help reduce political tensions. (shrink)

Helmut Plesner’s philosophical anthropology introduces not only the division of the world of the living being into self and environment, but also a superstructure over the zip distribution: eccentric positionality. This reflexive ability of the self to relate to itself allows the formation of personal-relative, i.e., social life. The aim of the article is: to trace the possibilities of methodological renewal of sociotheoretical discourse, which opens for him the principle of eccentric positionality.The study uses historical-comparative and logical-analytical methods. Research results. (...) H. Plesner in the idea of eccentric positionality unfolds the perspective and possible practical consequences of the establishment of human openness in the world, not stopping at the danger of finally breaking the anthropological framework of his philosophy, dissolving it in the concept of personal socialization.Conclusion. Plesner’s «social» is presented as a life phenomenon – it is the highest manifestation of life, and the process of personalization of life manifestations is a process of socialization. Taking the self beyond oneself in eccentric positionality is something more than separating oneself from the environment, opposing oneself to it and establishing an attitude towards it. In the course of establishing the relation to oneself, the self does not form it automatically – the positioning of eccentricity cannot be carried out directly – which enables a special space favorable for the «inter-self» existence of living beings, a specific sphere of «inter-self» relations – the sphere of social existence. (shrink)

This is a preprinted excerpt from: Kochiras, “By ye Divine Arm: God and Substance in De gravitatione”, Religious Studies (Sept. 2013), 49(3): 327-356 (available at: https://www.cambridge.org/core/journals/religious-studies/article/by-ye-divine-arm-god-and-substance -in-de-gravitatione/08D21B2C2611624FA11A0D6B115849AD ). In this preprinted excerpt, I explicate the concepts of matter and space that Newton develops in De gravitatione. As I interpret Newton’s account of created substances, bodies are constructed from qualities alone, as configured by God. Although regions of space and then “determined quantities of extension” appear to replace the Aristotelian substrate by functioning (...) as property-bearers, they actually serve only as logical subjects. An implication of the interpretation I develop is that only space is extended by having parts outside parts; material bodies are spatially extended only in a derivative sense, via the presence of their constitutive qualities or powers in space. (shrink)

Hamilton-Jacobi theory is applied to find appropriate canonical transformations for the calculation of the phase-space path integrals of the relativistic particle equations. Hence, canonical transformations and Hamilton-Jacobi theory are also introduced into relativistic quantum mechanics. Moreover, from the classical physics viewpoint, it is very interesting to find and to solve the Hamilton-Jacobi equations for the relativistic particle equations.