A geometro-differential quantum theory of extended particles is presented. The geometrical selling is that of Hilbert fiber bundles whose base manifolds are pseudo-Riemannian space-times of points χ which are interpreted as partial aspects of physical reality (the extended particle). The fibers are carrier spaces of induced (internal configuration and momentum) representations of the structural group (the de Sitter group here). Sections of these bundles are seen as physical representations of the particle, and their values in the fibers are (...) interpreted as states of internally localized modes composing the particle. This geometrical structure is “analogous” to that of a geometro-stochastic quantization developed in recent years. The physical interpretation is a combination of those of an old functional quantum theory and of an induced representation scheme based on an interpretation of intertwining, between configuration and momentum representations, as localization, materialization, and propagation of particles. Our model is applied in two cases: (1) Induced representation is applied in both space-time and internal space: both have de Sitter symmetry whose connection is ignored. Intertwining is considered in both spaces in a composed fashion. (2) For generic spacetimes and when the connection is taken into account, intertwining is applied only in the internal space. Parallel transport is combined with intertwining for a redefinition of localization, materialization, and propagation (the latter in a path integral context inspired from geometro-stochastic quantization). (shrink)

The semigroup of trajectories in Minkowski space-time and its induced representations are constructed as a generalization of the Galilei case. They describe relativistic pointlike particles and yield the free propagator as a path integral in the space of trajectories parametrized by a fifth parameter. This non physical propagator in a five-dimensional space is integrated over the fifth parameter to yield the physical propagator in Minkowski space. Thereafter, this notion is applied to a model of extended particles (...) with internal Poincaré symmetry and moving in an external Minkowski space. The geometrical structure is of Hilbert bundles and the interaction is introduced as a connection. The propagator is a path integral with respect to either the internal and external trajectories and reduces to a product of an internal and an external propagator when the interaction is ignored, just as has been found in a previous work with representations of the group rather than those of the semigroup. (shrink)

An appropriate kind of curved Hilbert space is developed in such a manner that it admits operators of $\mathcal{C}$ - and $\mathfrak{D}$ -differentiation, which are the analogues of the familiar covariant and D-differentiation available in a manifold. These tools are then employed to shed light on the space-time structure of Quantum Mechanics, from the points of view of the Feynman ‘path integral’ and of canonical quantisation. (The latter contains, as a special case, quantisation in arbitrary curvilinear coordinates when (...) space is flat.) The influence of curvature is emphasised throughout, with an illustration provided by the Aharonov-Bohm effect. (shrink)

The main topic of my paper concerns the theological-philosophical nexus between the intensive and qualitative spatiality of the Monad and the Origenian idea of Apokatastasis as a nexus that can clarify Benjamin's latest idea of the Messianic World. The first step will be, therefore, to explain Benjamin's use of the Origenian notion of Apokatastasis in his Essay on Leskov and in the Passagenwerk. Secondly, I will discuss how and to what extent such use is relevant for Benjamin's idea of Messianism. (...) Thirdly, I will propose the thesis that, for Benjamin, a messianic idea of time implies a monadological idea of space. In this regard, the relationship between continuity and discontinuity, which is crucial to understand the late Benjamin's idea of history, must be understood precisely as a dialectical relationship that involves not only time but also space. The figure of intermittence – as we shall see – expresses in the most suitable way the intertwining of space and time as dialectically and messianicaly oriented. This sequence of logical steps and critical considerations will shed light on the true nature of Benjamin's idea of dialectics and on its relationship to the idea of the totality. The real term of confrontation of Benjamin's late philosophy does not concern, therefore, Heidegger, but Hegel. In the light of this confrontation, Heidegger's Being and Time is already in pieces. It is as it were – we can say – behind Benjamin's movement of thought. (shrink)

In this study, we analyse the notion of “differential heterogenesis” proposed by Deleuze and Guattari on a morphogenetic perspective. We propose a mathematical framework to envisage the emergence of singular forms from the assemblages of heterogeneous operators. In opposition to the kind of differential calculus that is usually adopted in mathematical-physical modelling, which tends to assume a homogeneous differential equation applied to an entire homogeneous region, heterogenesis allows differential constraints of qualitatively different kinds in different points (...) of space and time. These constraints can then change in time, opening the possibility for new kinds of differential dynamics and the emergence of distinct entities and forms. Formally, we show that operators with different phase spaces can be assembled on the basis of a result of Rothschild & Stein (1976. Hypoelliptic differential operators and nilpotent groups. Acta Mathematica 137. 247–320). Furthermore, operators with different dynamics can be assembled by means of a partition of the unit.After stating the concept of differential heterogenesis in terms of contemporary mathematics, we show that this construction sheds light on the constitution of the semiotic function. In fact, both the Merleau-Pontian and the Deleuzian approaches share a common conceptualisation of the semiotic function and its emergence in terms of amorphodynamics of heterogeneous assemblages with a divergent actualisation. This divergent actualisation allows the co-constitution of various expression and content planes. Finally, we show that the divergent actualisation can be interpreted as the directions of principal eigenvectors of the actualized flow. (shrink)

The directionality of space-number association (SNA) is shaped by cultural experiences. It usually follows the culturally dominant reading direction. Smaller numbers are generally associated with the starting side for reading (left side in Western cultures), while larger numbers are associated with the right endpoint side. However, SNAs consistent with cultural reading directions are present before children can actually read and write. Therefore, these SNAs cannot only be shaped by the direction of children’s own reading/writing behavior. We propose six distinct (...) processes – one biological and five cultural/educational – underlying directional SNAs before formal reading acquisition: (i) Brain lateralization, (ii) Monitoring adult reading behavior, (iii) Pretend reading and writing, and rudimentary reading and writing skills, (iv) Dominant attentional directional preferences in a society, not directly related to reading direction, (v) Direct spatial-numerical learning, (vi) Other spatial-directional processes independent of reading direction. In this mini-review, we will differentiate between these processes, elaborate when in development they might emerge, discuss how they may create the SNAs observed in preliterate children and propose how they can be studied in the future. (shrink)

We propose to model spacetime by a differential space rather than by a differential manifold. A differential space is the pair (M, C), where M is any set, and C a family of real functions on M, satisfying certain axioms; C is called a differential structure of a corresponding differential space. This concept suitably generalizes the manifold concept. We show that C can be chosen in such a way that it contains all (...) information about the causal structure of spacetime. This information can be read out of C with the help of only one postulate, namely that physical signals travel along piecewise smooth curves in (M, C). We effectively construct the Minkowski spacetime, with its cone structure, in this way. Some comments are made. (shrink)

This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ − h, r -concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.

Thinking Space is ideal reading for those looking to learn about the Ospatial turn1 in social and cultural theory. As theorists have begun using using geographical concepts and metaphors to think about the complex and differentiated world this book examines the way they use spatial ideas, what role these ideas play in their thinking and what this means for how we think about theory and space. Among the writers discussed are: Simmel, Bakhtin, Deleuze, Cixous, Lefebvre, Lacan, Bourdieu, Foucault (...) and Fanon. (shrink)

In this chapter, I evaluate various conceptions of distance. Of the two most prominent, one takes distance relations to be intrinsic, the other extrinsic. I recommend pluralism: different conceptions can peacefully coexist as long as each holds sway over a distinct region of logical space. But when one asks which conception holds sway at the actual world, one conception stands out. It is the conception of distance embodied in differential geometry, what I call the Gaussian conception. On this (...) conception, all fundamental facts about distance are “local” facts.” But there is a problem: the Gaussian conception, notwithstanding its mathematical and physical credentials, appears metaphysically suspicious on Humean grounds. In the final section, I suggest that the Gaussian conception can be given a sound metaphysical footing in terms of non-standard analysis. (shrink)

Ethical implications of the concept of ecological space can be drawn from the focus it brings to issues arising from the finitude and vulnerability of habitats. An evident ethical concern is that each person should have sufficient access to support at least a minimally decent life. The demands placed by the world’s human population on its ecological space, however, are such that some members do not have enough of it for their health and well-being. One aspect of this (...) problem is the finitude of the earth’s aggregate biophysical capacity; another is that some humans make vastly more use of the planet’s ecological space than others do. In relation to the normative assessment and regulation of human activities, I recommend differentiating between using, occupying, and commanding ecological space. It is in relation to these activities that deontic categories—of prescription, proscription and permission—can be applied. (shrink)

The genesis of space and time is investigated within the rotational-monadic paradigm. It is established that the essence of the phenomenon of space is revealed through the dialectical synthesis of its two aspects — ideal and material, where the material aspect is represented by the metaphysical construct of protomonad. It is shown that basic physical distinctions such as motion, mass, gravitation find a meaningful hermeneutic through the material aspect of space, which has a purely discrete structure, while (...) the contradiction about finitude — infinity is resolved by juxtaposing metaphysical and ontic spaces, where the Universe is represented as an “egg”. The analysis of temporality is preceded by remarks on the relational and substantive concepts of time, consideration of the discreteness-continuity dilemma, and criticism of the absolutization of discreteness in the temporality representation. It is argued that discreteness and continuity are combined dialectical oppositions through which the temporal reality is actualized, where continuity is hidden from observation in the metaphysical world and discreteness is manifested explicitly in the physical world. Three dimensions of time — Present, Past and Future — are discussed, as a result of which it is stated that in the primary way time is found as an attribute of consciousness and only in the secondary way it correlates with phenomenological reality. New differentiations of time are revealed: interval Present, embracing as a universum other moduses of the Present, and two- component time in the form of cyclic and linear components which allow us to make a justified positive conclusion about the existence of transcendental subjectivity, being the basis of absolute temporality. (shrink)

We investigate a possible form of Schrödinger’s equation as it appears to moving observers. It is shown that, in this framework, accelerated motion requires fictitious potentials to be added to the original equation. The gauge invariance of the formulation is established. The example of accelerated Euclidean transformations is treated explicitly, which contain Galilean transformations as special cases. The relationship between an acceleration and a gravitational field is found to be compatible with the picture of the ‘Einstein elevator’. The physical effects (...) of an acceleration are illustrated by the problem of the uniformly-accelerated harmonic oscillator. (shrink)

The no-wait flow-shop scheduling problem with sequence-dependent setup times and release times is a typical NP-hard problem. This paper proposes an enhanced differential evolution algorithm with several fast evaluating strategies, namely, DE_FES, to minimize the total weighted tardiness objective for the NFSP with SSTs and RTs. In the proposed DE_FES, the DE-based search is adopted to perform global search for obtaining the promising regions or solutions in solution space, and a fast local search combined with three presented strategies (...) is designed to execute exploitation from these obtained regions. Test results and comparisons with two effective meta-heuristics show the effectiveness and robustness of DE_FES. (shrink)

Place-based policies tackle grand socio-economic challenges through differentiated, context-sensitive interventions. However, they often run the risk of under- or mis-performing. This work studies how grand challenges translate from policy to cross-sector partnerships through place. By focusing on the place-based policy of regional smart specialization (RIS3), I investigate how the setup of science and technology parks mediates the practices of the actors in the translation chain: a transnational policymaker (macro), a regional broker (meso), and a local partnership which served as prototype (...) for the regional policy (micro level). I document two types of practices—emplacement and space configuration—enacted at each level, and show how their interplay transformed the grand challenge from a cautious ideal at the macro level which balances risk and responsibility, to an optimistic and risk-prone approach at the partnership level. The study contributes to the policy and cross-sector partnerships literatures by documenting a two-sided effect of place-based policy and a consequent risk of ethical reversal, from an early attractor bringing partners together to a later accomplice keeping the partners together despite evident signs of failure. By adopting a strong multimodal approach, I also distinguish four types of multimodal outcomes—ideal type, prototype, virtual model, and lived artifact—which perform the two-sided effect and bring about the risk of reversal. Practical implications include a redistribution of the burden of failure from the CSPs implementing the grand challenges to the institutional fields in which these are bred. (shrink)

Different housing conditions, including housing space and the physiological and social environment, may affect rodent behavior. Here, we examined the effects of different housing conditions on post-stroke angiogenesis and functional recovery to clarify the ambiguity about environmental enrichment and its components. Male rats in the model groups underwent right middle cerebral artery occlusion followed by reperfusion. The MCAO rats were divided into four groups: the physical enrichment group, the social enrichment group, the combined physical and social enrichment group and (...) the ischemia/reperfusion + standard conditioning group. The rats in the sham surgery group were housed under standard conditions. In a set of behavioral tests, including the modified Neurological Severity Score, rotarod test, and adhesive removal test, we demonstrated that the animals in the enriched condition groups exhibited significantly improved neurological functions compared to those in the standard housing group. Smaller infarction volumes were observed in the animals of the PSE group by MRI detection. The enriched conditions increased the microvessel density in the ischemic boundary zone, as revealed by CD31 immunofluorescent staining. The immunochemical and q-PCR results further showed that environmental enrichment increased the expression levels of angiogenic factors after ischemia/reperfusion injury. Our data suggest that all three enrichment conditions promoted enhanced angiogenesis and functional recovery after ischemia/reperfusion injury compared to the standard housing, while only exposure to the combination of both physical and social enrichment yielded optimal benefits. (shrink)

The logical theory of branching space-times, which is intended to provide a framework for studying objective indeterminism, remains at a certain distance from the discussion of space-time theories in the philosophy of physics. In a welcome attempt to clarify the connection, Earman has recently found fault with the branching approach and suggested ``pruning some branches from branching space-time''. The present note identifies the different---order theoretic vs. topological---points of view of both discussion as a reason for certain misunderstandings, (...) and tries to remove them. Most importantly, we give a novel, topological criterion of modal consistency that usefully generalizes the order-theoretic criterion of directedness, and we introduce a differential-geometrical version of BST based on the theory of non-Hausdorff manifolds. (shrink)

In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question whether or (...) not space-time is discrete, I then turn to some possible empirical evidence, which we do not yet have. This evidence is based on some slight differences between commonly occurring differential equations and their discrete analogs. (shrink)

The more recent interpretations of Kant’s 1768 essay Concerning the Ultimate Ground of the Differentiation of Directions in Space stressed the important role of the human body in determining the spatial feature of directionality. For that reason it seems to provide great support to an alternative account of Kant’s official doctrine of space in the Trascendental Aesthetic, namely a reading grounded on a «phenomenological» approach to the text. The present article firstly explains why a revision in translation allowed (...) to discover in the 1768 essay the new topic of the body. Then it shows how Kant’s remarks have been connected with his mature views by ascribing to him a constant phenomenological attitude. Finally it argues that a similar hypothesis is not much consistent with Kant’s aims, because of the methodological rules of philosophizing he was following in 1768. (shrink)

Fields of characteristic zero with several commuting derivations can be treated as fields equipped with a space of derivations that is closed under the Lie bracket. The existentially closed instances of such structures can then be given a coordinate-free characterization in terms of differential forms. The main tool for doing this is a generalization of the Frobenius Theorem of differential geometry.

This paper introduces a natural extension of Kolchin's differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-linear case the iterative Picard—Vessiot theory recently developed by Matzat and van der Put. We use the methods and framework provided by the model theory of iterative differential fields. We offer a definition of strongly normal extension of iterative differential fields, and then prove that these extensions have good Galois theory and that a G-primitive element theorem (...) holds. In addition, making use of the basic theory of arc spaces of algebraic groups, we define iterative logarithmic equations, finally proving that our strongly normal extensions are Galois extensions for these equations. (shrink)

This article discusses from a specifically German point of view the “spatial turn” in history and the approaches of this forum. Many recent interventions have suggested that “space” was for many years a marginalized category in the German historiographical debate because of the ideological contamination of the category “space” by the Nazis. In the context of the vivid, lively “provincial” or “regional” history practiced in Germany, however, “space” has always played an important role. The debates around the (...) spatial turn nevertheless provide the opportunity for deliberate reconceptualization. This comment proposes a relational understanding of “space” as the core of the new approach and identifies some central elements and terms for it: the differentiation of “spaces,”“places,” and “locations”; movement in space; the division of space in the form of boundaries; finally, the ordering and classification of space in the form of written or visual representations. (shrink)

This article engages critically with Bourdieu’s notion of field. It questions the emphasis that Bourdieu places on what he terms ‘objective relations’ at the expense of the actual relations of those within a field. This not only involves relations between human actors but the interactions of humans with the non-human such as inanimate objects that over time, and in particular spaces, engender certain forms of embodiment. The intention of the article is to think through these phenomenological dimensions of field. It (...) does this by firstly examining these issues as theoretical questions before siting them within an empirical context, revisiting data from an earlier study into the differential achievement of students of Chinese-, Pacific Islander- and Anglo-Australian backgrounds to ascertain the ways in which various micropractices performed within the home promote different dispositions to learning, some more and some less of value at school. (shrink)

Although imagination is not one of the subjects treated extensively in Husserl's phenomenology, it is one of its most important 'instruments'. In his phenomenology as a work of imagination, imagination even acquires for Husserl primacy over perception. But in his phenomenology of imagination as its subject matter, Husserl seems to repeat the old distinction between original and image in his differentiation between perception as the reaIization of full bodily presence and imagination as referring to inferior modes of presence. -/- The (...) author criticaIly analyses Husserl's distinction (within imagination) between phantasy and image-consciousness. The fact that Husserl describes the image-object in image-consciousness as a "mere image" which appears only as "a nothing" on the scene of actual presence, and the fact that Husserl distinguishes phantasy from image-consciousness by its lacking any representational consciousness, leads one to suspect greatly that Husserl reverts to a contentbased approach which was to have been excluded by his theory of intentionaIity. -/- In the last section the author outlines a reorientation according to which imagination is thought of not in reference to presence (as has been done in the history of metaphysics), but in reference to an appearing, an imaging, a showing, that would never be a matter simply of presence, but rather of spacings that would fracture presence. This conception of imagination could explain the power of imagination to open up phenomenology. (shrink)

Human interaction and communication involve space in multiple ways. This paper examines the spatial and interactional order of a covertly video-taped police interrogation. When the participants enter the interrogation room and become engaged in the interrogation process, the room itself is a constraint and a resource for interaction. While interacting within a built environment, the participants appropriate their material surroundings in ways that constitute a spatial order and make possible certain arguments. This paper examines how the physical structure of (...) the interrogation room is differentially appropriated, used, and filled in by the participants''; territorial and postural manoeuvers over the course of their interaction; and how the spatial structures thus created by the bodily appropriation of the physical locale are subsequently formulated by talk and thereby used as a metaphorical resource to frame the participants'' situated experience. Through this embedded process, the interrogators move the suspect toward confession. (shrink)

In this article, I materially situate air pollution exposure as a topic of social and political inquiry by paying attention to the increasing specificity of spaces and sites of exposure in air pollution and health research. Evidence of the unevenness of exposure and differential health effects of air pollution have led to a proliferation of studies on the risks different environments pose to bodies. There are increasingly different airs in air pollution science. In this research, bodies are often relegated (...) to passive objects, exposed according to the environments they move between. Yet exposure implies a blurring of bodies and environments which also challenges the idea of a discrete body that is distinguishable from its material context. By studying the process of modelling indoor air pollution, I highlight how air pollution, buildings and bodies are co-implicated with one another in ways that demand new ways of materialising human exposure in science. (shrink)

We define a Lie differential field as a field of characteristic 0 with an action, as derivations on , of some given Lie algebra . We assume that is a finite-dimensional vector space over some sub-field given in advance. As an example take the field of rational functions on a smooth algebraic variety, with .For every simple extension of Lie differential fields we find a finite system of differential equations that characterizes it. We then define, using (...) first-order conditions, a collection of allowed systems of differential equations s.t. the above characteristic systems are allowed. We prove that for every allowed system there exists a generic solution in some extension, and this solution is unique .We construct the model completion of the theory of Lie differential fields by adding axioms stating that every allowed system has almost generic solutions. The construction is a generalization of Blum's axioms for DCF0. We also show that this model completion is ω-stable. (shrink)

The notion of conceptual space, proposed by Gärdenfors as a framework for the representation of concepts and knowledge, has been highly influential over the last decade or so. One of the main theses involved in this approach is that the conceptual regions associated with properties, concepts, verbs, etc. are convex. The aim of this paper is to show that such a constraint—that of the convexity of the geometry of conceptual regions—is problematic; both from a theoretical perspective and with regard (...) to the inner workings of the theory itself. On the one hand, all the arguments provided in favor of the convexity of conceptual regions rest on controversial assumptions. Additionally, his argument in support of a Euclidean metric, based on the integral character of conceptual dimensions, is weak, and under non-Euclidean metrics the structure of regions may be non-convex. Furthermore, even if the metric were Euclidean, the convexity constraint could be not satisfied if concepts were differentially weighted. On the other hand, Gärdenfors’ convexity constraint is brought into question by the own inner workings of conceptual spaces because: some of the allegedly convex properties of concepts are not convex; the conceptual regions resulting from the combination of convex properties can be non-convex; convex regions may co-vary in non-convex ways; and his definition of verbs is incompatible with a definition of properties in terms of convex regions. Therefore, the mandatory character of the convexity requirement for regions in a conceptual space theory should be reconsidered. (shrink)

. The concepts of space and time are important in physics and geometry, but their definition is not the exclusive prerogative of those sciences. Space and time are important for ordinary human experience, as well as for philosophy and theology. Samuel Clarke, Gottfried Wilhelm Leibniz, Isaac Newton, Immanuel Kant, and Albert Einstein are important figures in shaping our understandings of space, time, and eternity. The author subjects their arguments to critical examination. Space is neither an infinite (...) and empty receptacle nor a system of relations in the mind . Infinite space and time can be interpreted as expressing God's eternity and omnipresence in relating to the creation , but such an interpretation is enhanced by Kant's thinking, to clarify that even though time and space are differentiated in individual events, the whole is at the same time present. Even human experience recognizes this wholeness, and for God eternity is the simultaneous presence and possession of the wholeness. The temporal existence of finite entities is also related to a future participation in God's eternal life. Concepts of contingency are brought into the discussion as well. (shrink)

In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...) character of any genuinely spatial scheme. I argue that if Wittgenstein rightly assumes that the simultaneous presence of sensible places in vision is a key condition for objectivity, he fails nevertheless to warrant the allegedly realistic character of the scheme employed in his own search for a phenomenological description of the visual field. (shrink)

This article examines changing modalities of citizenship in a fast-moving, informationalized and connected world. The argument here is that, in an increasingly globalized economic, social and cultural environment, forms and practices of citizenship inevitably – and increasingly – fragment across space and time. While this tendency for citizenship to ‘shape-shift’ politically and socially is not new – and indeed while the spatial fragmentation of belonging has been frequently commented upon, particularly in relation to the claimed decline of the bordered (...) nation-state – the dimension of time in relationship to citizenship has been rather less well explored. By examining the interplay of space and time in contemporary citizenship, understood here in terms of civic and political engagement, identity and belonging, it becomes possible to understand how citizenship practices operate differentially according to degrees of spatial embeddedness, on the one hand, and degrees of temporal ‘thickness’, on the other. (shrink)

This article focuses on how exposure to different media genres relates to two components of attitudes, Muslims as a group and Islam as a religion. It also highlights how these components mediate the relationship between media exposure and behavioral intention, namely voting intention towards banning veiling in public spaces. The analysis builds on an online survey conducted in Switzerland. We found that exposure to specific media genres is not equally associated with attitudes towards Muslims versus attitudes towards Islam. Contrary to (...) our expectation, we did not find the association to be stronger when it came to influencing attitudes towards Muslims as compared to influencing attitudes towards Islam. However, our findings clearly showed that it matters whether people consume news via television or newspapers, especially mass-market (commercial television and tabloids) versus upmarket news (public television and quality newspapers). Attitudes towards Muslims living in Switzerland are more negative among those consuming mass-market news than those consuming upmarket news. Anti-Islam attitudes, however, were only associated with reading newspapers—both tabloids and quality newspapers. The findings provided only partial support for the mediating role of attitudes towards Muslims and Islam concerning the indirect relation between media exposure and voting intention towards banning veiling. (shrink)

Introduction. The authors clarify and expand the concepts of heterogeneity properties of regional socio-economic and digital spaces. Heterogeneity of space is associated with the regional uneven development and results in their socio-economic and digital differentiation, which, in turn, determines unequal conditions for ensuring the population’s life quality. In the context of the study, heterogeneity of the regional space is defined as a property of uneven spatial development of the Russian Federation’s constituent entities according to the territorial, sectoral, and (...) temporary characteristics that determine and affect the level and quality of life of the population. The citizens’ life quality throughout the country is an absolute priority of economic development at the federal and regional levels. Indeed, only then should we speak of a positive assessment of economic growth when it does not follow the path of the previous inefficient development, but is aimed at achieving a real improvement in people’s wellbeing [3; 4; 17]. Taking into consideration the particular importance of social priorities and their implementation throughout the country, the authors think it necessary to study the properties of the economic space, to determine their impact on the population’s life quality. The aim of the study is to analyze the effect of heterogeneity of the regional socio-economic and digital spaces on the population’s life quality in the Russian Federation’s constituent entities. Methods. To conduct the study, the authors make use of statistical analysis based on the data of the Russian Statistics Agency, Moscow School of Management Skolkovo, Russian Information Agency Rating; content analysis, methods of comparative analysis and positioning of regions. The scientific novelty of the study consists in expanding ideas about heterogeneity of the regional space from the standpoint of the regional socioeconomic situation and the level of their digitalization, which result in differentiating the Russian Federation’s subjects and unequal conditions for the people’s life, to a different extent affecting the population’s life quality throughout the country. In methodological terms, the study is supplemented by a pairwise comparison of the regional space characteristics and the multivariate positioning of regions in the coordinates: socio-economic space - quality of life; digitalization is a quality of life. Results. The authors study the impact of integrated indicators of the socio-economic situation of the regions, their digitalization level on the population’s life quality in the Russian Federation’s constituent entities. At the same time, the authors apply a comparison of various integral nature of the regional space indicators used, as a rule, autonomously, for multi-characteristic typologies (groups of regions I—IV and groups of regions A—D), by means of which a group of the most powerful regions was identified where the life quality is associated with the best socio-economic situation and active digitalization of these regions. Conclusions. It was found that uneven economic and digital territory development leads to interregional differentiation of the population’s life quality, as a result of which the leading regions and the outsider regions are distinguished, characterized by unequal conditions for the citizens’ life. The typology made it possible to identify groups of regions for which selective measures are needed to increase the level and quality of the population’s life. For some regions, the priority is to use their economic potential and new digital technologies, for others, active interregional interaction; the third (the weakest) cannot provide a decent standard of living without profound government support. (shrink)

In this article, we argue how instant messaging (IM) is actively made into a communicative space of their own among migrant girls. Triangulating data gathered through large-scale surveys, interviews and textual analysis of IM transcripts, we focus on Moroccan-Dutch girls who use instant messaging as a space where they can negotiate several issues at the crossroads of national, ethnic, racial, age and linguistic specificities. We take an intersectional perspective to disentangle how they perform differential selves using IM (...) both as an ‘onstage’ activity through which they express their communal, public and global youth cultural belongings and as a ‘backstage’ activity through which they articulate their individual, private and intimate identity expression. Instant messaging appears to be a space where they can strategically (re-)position themselves. The relationship between the online world of IM and the off-line world is shown to be intricate and complex; at certain points, both worlds overlap and at others they diverge. Despite all existing constraints that are both related to gender restrictions, often disenfranchised family backgrounds, religious dictums, and surveillance by parents, siblings and peers, which affect Moroccan-Dutch girls in specific ways, IM is also understood as a unique space for exerting their agency in autonomous, playful and intimate ways. (shrink)

The goal of this paper is to explore, from a phenomenologically informed perspective, the phenomenon of the operative spatialization of human thinking, viewed in its relationship with the embodied human organism’s spatial experience. Operative spatialization in this context refers to the cognitive role and functioning of spatial schematizations and differentiations in human thinking. My particular focus is the domain of conceptualization. By drawing on Husserl’s discussion of the (linguistic) process of a sedimentation of meaning, I aim to show that spatialization (...) functions in a structurally ambivalent manner. On the one hand, spatialization predisposes and thus narrows the scope of human conceptual thought. On the other hand, spatialization establishes an implicit cognitive scaffold indispensable for the development and practice of human higher-order thinking. The structure and functioning of this scaffold, I argue, is intrinsically related to the spatial structure and dynamics of human embodiment. Synthesizing insights from phenomenological studies concerning the experiential constitution of space, and classic and recent research findings from fields such as cognitive linguistics and psychology concerning the cognitive dimension of image-schemas and gestural behavior, I argue that the living human body functions centrally as the sense-constitutive ‘site of conversion’ (Husserl) between concrete structures of spatial experience and abstract structures of conceptual thought. (shrink)

Kantian philosophy of space, time and gravity is significantly affected in three ways by particle physics. First, particle physics deflects Schlick’s General Relativity-based critique of synthetic a priori knowledge. Schlick argued that since geometry was not synthetic a priori, nothing was—a key step toward logical empiricism. Particle physics suggests a Kant-friendlier theory of space-time and gravity presumably approximating General Relativity arbitrarily well, massive spin-2 gravity, while retaining a flat space-time geometry that is indirectly observable at large distances. (...) The theory’s roots include Seeliger and Neumann in the 1890s and Einstein in 1917 as well as 1920s–1930s physics. Such theories have seen renewed scientific attention since 2000 and especially since 2010 due to breakthroughs addressing early 1970s technical difficulties. Second, particle physics casts additional doubt on Friedman’s constitutive a priori role for the principle of equivalence. Massive spin-2 gravity presumably should have nearly the same empirical content as General Relativity while differing radically on foundational issues. Empirical content even in General Relativity resides in partial differential equations, not in an additional principle identifying gravity and inertia. Third, Kant’s apparent claim that Newton’s results could be known a priori is undermined by an alternate gravitational equation. The modified theory has a smaller symmetry group than does Newton’s. What Kant wanted from Newton’s gravity is impossible due its large symmetry group, but is closer to achievable given the alternative theory. (shrink)

This paper uses the figure of the inbred laboratory mouse to reflect upon the management and mobilization of biological difference in the contemporary biosciences. Working through the concept of shifting experimental systems, the paper seeks to connect practices concerned with standardization and control in contemporary research with the emergent and stochastic qualities of biological life. Specifically, it reviews the importance of historical narratives of standardization in experimental systems based around model organisms, before identifying a tension in contemporary accounts of the (...) reproduction and differentiation of inbred mouse strains within them. Firstly, narratives of new strain development, foregrounding personal biography and chance discovery, attest to the contingency and situatedness of apparently universal biotechnological production. Secondly, discoveries of unexpected animal litters challenge efforts to standardize mouse phenotypes and control the reproduction of murine strains over space. The co-existence of these two narratives draws attention to the importance of and interplay between both chance and control, determination and emergence, and the making and moving of experimental life in biomedical research. The reception or denial of such biological excess reflects the distribution of agencies and the emerging spatialities of the global infrastructures of biotechnological development, with implications for future relations between animal lives and human becomings in experimental practices. (shrink)

The paper is devoted to modelling of cell differentiation in an initially homogeneous cell population. The mechanism which provides coexistence of two cell lineages in the initially homogeneous cell population is suggested. If cell differentiation is initiated locally in space in the population of undifferentiated cells, it can propagate as a travelling wave converting undifferentiated cells into differentiated ones. We suggest a model of this process which takes into account intracellular regulation, extracellular regulation and different cell types. They include (...) undifferentiated cells and two types of differentiated cells. When a cell differentiates, its choice between two types of differentiated cells is determined by the concentrations of intracellular proteins. Differentiated cells can either stimulate differentiation into their own cell lineage or into another cell lineage. In the case of the positive feedback, only one lineage of differentiated cells will finally appear. In the case of negative feedback, both of them can coexist. In this case a periodic spatial pattern emerges behind the wave. (shrink)

This paper considers the interpretive significance of the intersecting relationships between different conceptions of responsibility as they shift over space and time. The paper falls into two main sections. The first gives an account of several conceptions of responsibility: two conceptions founded in ideas of capacity; two founded in ideas of character, and one founded in the relationship between an agent and the outcome which she causes. The second main section uses this differentiated conceptual account to analyse and interpret (...) certain aspects of the contemporary criminal law of England and Wales. In conclusion, the paper considers a number of hypotheses about what the evidence of certain shifts in the relationship between the three families of responsibility-conception can tell us about the current state and significance of criminal law among other systems of social governance. (shrink)

In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m -semiflow is validated. Finally, a concrete application of the main result is demonstrated to enhance the practical signification.

This paper involves extended b − metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional linear Fredholm integral equations. By various given hypotheses, exciting results are established in the setting of an extended b − metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two-dimensional linear (...) Fredholm integral equation. (shrink)

The explosion of multiomics data poses new challenges to existing data mining methods. Joint analysis of multiomics data can make the best of the complementary information that is provided by different types of data. Therefore, they can more accurately explore the biological mechanism of diseases. In this article, two forms of joint nonnegative matrix factorization based on the sparse and graph Laplacian regularization method are proposed. In the method, the graph regularization constraint can preserve the local geometric structure of data. (...) L 2,1 -norm regularization can enhance the sparsity among the rows and remove redundant features in the data. First, SG-jNMF1 projects multiomics data into a common subspace and applies the multiomics fusion characteristic matrix to mine the important information closely related to diseases. Second, multiomics data of the same disease are mapped into the common sample space by SG-jNMF2, and the cluster structures are detected clearly. Experimental results show that SG-jNMF can achieve significant improvement in sample clustering compared with existing joint analysis frameworks. SG-jNMF also effectively integrates multiomics data to identify co-differentially expressed genes. SG-jNMF provides an efficient integrative analysis method for mining the biological information hidden in heterogeneous multiomics data. (shrink)

I propose that we interpret Kant’s argument from incongruent counterparts in the 1768 article ‘Concerning the Ultimate Ground of the Differentiation of Directions in Space’ in light of a theory of dynamic absolute space that he accepted throughout the 1750s and 1760s. This force-based or material conception of space was not an unusual interpretation of the Newtonian notion of absolute space. Nevertheless, commentators have continually argued that Kant’s argument is an utter failure that shifts from the (...) metaphysics of space to its epistemology, because he has no way to connect ‘directionality’ and ‘handedness’ to absolute space. This supposed failure is based on an understanding of absolute space in purely mathematical terms and as an absolute void that lacks any qualitative or dynamic features. If we recognize that Kant held that space had an intrinsic directional asymmetry then his argument successfully connects incongruent counterparts to absolute space. The presence of this notion in Kant’s pre-Critical thought is rarely noted, and its necessity in understanding his incongruence argument is novel. (shrink)

Heterocyst spacing in blue -green bacteria is widely assumed to be due to a diffusible inhibitor. The inhibitor, a nitrogen-rich compound, probably glutamine, is produced via the N2-fixing enzymes of the heterocyst and in turn serves to suppress the induction of these enzymes and of the differentiation of vegetative cells to heterocysts. This simple morphogenetic mechanism operating in growing cellular filaments ofAnabaena species is investigated on the basis of a continuous and a discrete cellular model, as well as by cell-by-cell (...) simulation of the inhibitor transport. The resulting distances between heterocysts and kinetics of their production are compared with observations, and the values of physical parameters are estimated from the models. (shrink)