Results for 'phase space reconstruction'

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  1. On the possibility of a phase-space reconstruction of quantum statistics: A refutation of the Bell-Wigner locality argument. [REVIEW]Jeffrey Bub - 1973 - Foundations of Physics 3 (1):29-44.
    J. S. Bell's argument that only “nonlocal” hidden variable theories can reproduce the quantum statistical correlations of the singlet spin state in the case of two separated spin-1/2 particles is examined in terms of Wigner's formulation. It is shown that a similar argument applies to a single spin-1/2 particle, and that the exclusion of hidden variables depends on an obviously untenable assumption concerning conditional probabilities. The problem of completeness is discussed briefly, and the grounds for rejecting a phase-space (...)
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  2. Reconstructing Regional Relationships, or the New Bases for Rebuilding Spheres of Influence.Chérifa Chaour - 2002 - Diogenes 49 (194):47-57.
    It is understandable that, since the fall of the Berlin wall, researchers interested in the social and political upheavals brought about by this phase of history should have concentrated their attentions on what had been the immediate sphere of influence of the Soviet centre of power. However we are within our rights today to ask why our understanding of the structural (economic and social) transformations in what is conveniently called the ‘post-communist’ period and space, and of post-bipolarisation regional (...)
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  3.  33
    Quantum Phase Space from Schwinger’s Measurement Algebra.P. Watson & A. J. Bracken - 2014 - Foundations of Physics 44 (7):762-780.
    Schwinger’s algebra of microscopic measurement, with the associated complex field of transformation functions, is shown to provide the foundation for a discrete quantum phase space of known type, equipped with a Wigner function and a star product. Discrete position and momentum variables label points in the phase space, each taking \(N\) distinct values, where \(N\) is any chosen prime number. Because of the direct physical interpretation of the measurement symbols, the phase space structure is (...)
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  4. Stochastic phase spaces and master Liouville spaces in statistical mechanics.Eduard Prugovečki - 1979 - Foundations of Physics 9 (7-8):575-587.
    The concept of probability space is generalized to that of stochastic probability space. This enables the introduction of representations of quantum mechanics on stochastic phase spaces. The resulting formulation of quantum statistical mechanics in terms of Γ-distribution functions bears a remarkable resemblance to its classical counterpart. Furthermore, both classical and quantum statistical mechanics can be formulated in one and the same master Liouville space overL 2(Γ). A joint derivation of a classical and quantum Boltzman equation provides (...)
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  5.  90
    Phase Space Portraits of an Unresolved Gravitational Maxwell Demon.D. P. Sheehan, J. Glick, T. Duncan, J. A. Langton, M. J. Gagliardi & R. Tobe - 2002 - Foundations of Physics 32 (3):441-462.
    In 1885, during initial discussions of J. C. Maxwell's celebrated thermodynamic demon, Whiting (1) observed that the demon-like velocity selection of molecules can occur in a gravitationally bound gas. Recently, a gravitational Maxwell demon has been proposed which makes use of this observation [D. P. Sheehan, J. Glick, and J. D. Means, Found. Phys. 30, 1227 (2000)]. Here we report on numerical simulations that detail its microscopic phase space structure. Results verify the previously hypothesized mechanism of its paradoxical (...)
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  6.  35
    Stochastic phase spaces, fuzzy sets, and statistical metric spaces.W. Guz - 1984 - Foundations of Physics 14 (9):821-848.
    This paper is devoted to the study of the notion of the phase-space representation of quantum theory in both the nonrelativisitic and the relativisitic cases. Then, as a derived concept, the stochastic phase space is introduced and its connections with fuzzy set theory and probabilistic topological (in particular, metric) spaces are discussed.
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  7. The explanatory power of phase spaces.Aidan Lyon & Mark Colyvan - 2008 - Philosophia Mathematica 16 (2):227-243.
    David Malament argued that Hartry Field's nominalisation program is unlikely to be able to deal with non-space-time theories such as phase-space theories. We give a specific example of such a phase-space theory and argue that this presentation of the theory delivers explanations that are not available in the classical presentation of the theory. This suggests that even if phase-space theories can be nominalised, the resulting theory will not have the explanatory power of the (...)
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  8.  11
    Phase Space Portraits of an Unresolved Gravitational Maxwell Demon.Maxwell Demon, D. P. Sheehan, J. Glick, T. Duncan, J. A. Langton, M. J. Gagliardi & R. Tobe - 2002 - Foundations of Physics 32 (3):441-462.
    In 1885, during initial discussions of J. C. Maxwell's celebrated thermodynamic demon, Whiting(1) observed that the demon-like velocity selection of molecules can occur in a gravitationally bound gas. Recently, a gravitational Maxwell demon has been proposed which makes use of this observation [D. P. Sheehan, J. Glick, and J. D. Means, Found. Phys. 30, 1227 (2000)]. Here we report on numerical simulations that detail its microscopic phase space structure. Results verify the previously hypothesized mechanism of its paradoxical behavior. (...)
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  9.  33
    Coherent phase spaces. Semiclassical semantics.Sergey Slavnov - 2005 - Annals of Pure and Applied Logic 131 (1-3):177-225.
    The category of coherent phase spaces introduced by the author is a refinement of the symplectic “category” of A. Weinstein. This category is *-autonomous and thus provides a denotational model for Multiplicative Linear Logic. Coherent phase spaces are symplectic manifolds equipped with a certain extra structure of “coherence”. They may be thought of as “infinitesimal” analogues of familiar coherent spaces of Linear Logic. The role of cliques is played by Lagrangian submanifolds of ambient spaces. Physically, a symplectic manifold (...)
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  10.  15
    Phase-space path integration of the relativistic particle equations.H. Gür - 1991 - Foundations of Physics 21 (11):1305-1314.
    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.
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  11.  26
    Phase space generalization of the de Broglie-Bohm model.Roderick I. Sutherland - 1997 - Foundations of Physics 27 (6):845-863.
    A generalization of the familiar de Broglie-Bohm interpretation of quantum mechanics is formulated, based on relinquishing the momentum relationship p=∇S and allowing a spread of momentum values at each position. The development of this framework also provides a new perspective on the well-known question of joint distributions for quantum mechanics. It is shown that, for an extension of the original model to be physically acceptable and consistent with experiment, it is necessary to impose certain restrictions on the associated joint distribution (...)
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  12.  15
    Phase-space representation and coordinate transformation: A general paradigm for neural computation.Paul M. Churchland - 1986 - Behavioral and Brain Sciences 9 (1):93-94.
  13.  5
    Formant Space Reconstruction From Brain Activity in Frontal and Temporal Regions Coding for Heard Vowels.Alessandra Cecilia Rampinini, Giacomo Handjaras, Andrea Leo, Luca Cecchetti, Monica Betta, Giovanna Marotta, Emiliano Ricciardi & Pietro Pietrini - 2019 - Frontiers in Human Neuroscience 13.
  14.  44
    Phase Space Optimization of Quantum Representations: Non-Cartesian Coordinate Spaces. [REVIEW]Bill Poirier - 2001 - Foundations of Physics 31 (11):1581-1610.
    In an earlier article [Found. Phys. 30, 1191 (2000)], a quasiclassical phase space approximation for quantum projection operators was presented, whose accuracy increases in the limit of large basis size (projection subspace dimensionality). In a second paper [J. Chem. Phys. 111, 4869 (1999)], this approximation was used to generate a nearly optimal direct-product basis for representing an arbitrary (Cartesian) quantum Hamiltonian, within a given energy range of interest. From a few reduced-dimensional integrals, the method determines the optimal 1D (...)
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  15.  69
    In Defence Of The Phase Space Picture.Peter Forrest - 1999 - Synthese 119 (3):299-311.
    While the Phase Space formulation of quantum mechanics has received considerable attention it has seldom been defended as a viable interpretation. In this paper I expound the Phase Space Picture, use it to provide a quasi-classical 'hidden variables' interpretation of quantum mechanics and offer a defence of it against various objections.
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  16. Trajectories and causal phase-space approach to relativistic quantum mechanics.P. R. Holland, A. Kyprianidis & J. P. Vigier - 1987 - Foundations of Physics 17 (5):531-548.
    We analyze phase-space approaches to relativistic quantum mechanics from the viewpoint of the causal interpretation. In particular, we discuss the canonical phase space associated with stochastic quantization, its relation to Hilbert space, and the Wigner-Moyal formalism. We then consider the nature of Feynman paths, and the problem of nonlocality, and conclude that a perfectly consistent relativistically covariant interpretation of quantum mechanics which retains the notion of particle trajectory is possible.
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  17.  88
    On the Generalized Phase Space Approach to Duffin-Kemmer-Petiau Particles.M. C. B. Fernandes & J. D. M. Vianna - 1999 - Foundations of Physics 29 (2):201-219.
    We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic spinors due to Riesz and Cartan. The generators βμ (p) of the D.K.P algebras are constructed in the standard fashion used to construct Clifford algebras out of bilinear forms. Free D.K.P particles and D.K.P particles in a prescribed external electromagnetic field are analized and general Liouville type equations for these (...)
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  18.  7
    A Spherical Phase Space Partitioning Based Symbolic Time Series Analysis (SPSP—STSA) for Emotion Recognition Using EEG Signals.Hoda Tavakkoli & Ali Motie Nasrabadi - 2022 - Frontiers in Human Neuroscience 16.
    Emotion recognition systems have been of interest to researchers for a long time. Improvement of brain-computer interface systems currently makes EEG-based emotion recognition more attractive. These systems try to develop strategies that are capable of recognizing emotions automatically. There are many approaches due to different features extractions methods for analyzing the EEG signals. Still, Since the brain is supposed to be a nonlinear dynamic system, it seems a nonlinear dynamic analysis tool may yield more convenient results. A novel approach in (...)
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  19. Deleuze in phase space'.Manuel DeLanda - 2006 - In Simon B. Duffy (ed.), Virtual Mathematics: The Logic of Difference. Clinamen. pp. 235--247.
     
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  20.  21
    Chess RHIZOME and Phase Space: Mapping Metaphor Theory onto Hypertext Theory.Martin E. Rosenberg - 1999 - Intertexts 3 (2):147-167.
  21.  53
    The Wigner phase-space description of collision processes.Hai-Woong Lee & Marlan O. Scully - 1983 - Foundations of Physics 13 (1):61-72.
    This year marks the 50th anniversary of the birth of the celebrated Wigner distribution function. Many advances made in various areas of science during the 50 year period can be attributed to the physical insights that the Wigner distribution function provides when applied to specific problems. In this paper the usefulness of the Wigner distribution function in collision theory is described.
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  22.  41
    Logical Space and Phase-Space.John Preston - 2015 - In Annalisa Coliva, Volker Munz & Danièle Moyal-Sharrock (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. De Gruyter. pp. 35-44.
  23. On Nonlinear Quantum Mechanics, Noncommutative Phase Spaces, Fractal-Scale Calculus and Vacuum Energy.Carlos Castro - 2010 - Foundations of Physics 40 (11):1712-1730.
    A (to our knowledge) novel Generalized Nonlinear Schrödinger equation based on the modifications of Nottale-Cresson’s fractal-scale calculus and resulting from the noncommutativity of the phase space coordinates is explicitly derived. The modifications to the ground state energy of a harmonic oscillator yields the observed value of the vacuum energy density. In the concluding remarks we discuss how nonlinear and nonlocal QM wave equations arise naturally from this fractal-scale calculus formalism which may have a key role in the final (...)
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  24.  24
    Pseudo-classical phase space description of the relativistic electron.G. C. Sherry - 1989 - Foundations of Physics 19 (6):733-741.
    Several versions exist of pseudo-classical models of the electron using Grassmann variables. Most of these require additional constraints on the variables, and it is these which, when quantized, lead to Dirac's equation. In addition, the Grassmann variables do not have physical interpretations. In this article a model is constructed which does not require constraints and in which the Grassmann variables can be interpreted as observables. Dirac's equation is obtained directly from quantization.
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  25.  6
    Quantum and Relativistic Corrections to Maxwell–Boltzmann Ideal Gas Model from a Quantum Phase Space Approach.Rivo Herivola Manjakamanana Ravelonjato, Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Roland Raboanary, Hanitriarivo Rakotoson & Naivo Rabesiranana - 2023 - Foundations of Physics 53 (5):1-20.
    The quantum corrections related to the ideal gas model often considered are those associated to the bosonic or fermionic nature of particles. However, in this work, other kinds of corrections related to the quantum nature of phase space are highlighted. These corrections are introduced as improvements in the expression of the partition function of an ideal gas. Then corrected thermodynamics properties of the ideal gas are deduced. Both the non-relativistic quantum and relativistic quantum cases are considered. It is (...)
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  26.  36
    Geometry and Structure of Quantum Phase Space.Hoshang Heydari - 2015 - Foundations of Physics 45 (7):851-857.
    The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geometry. The geometry also plays an important role in foundations of quantum mechanics and quantum information. In this work we discuss a geometric framework for mixed quantum states represented by density matrices, where the quantum phase space of density matrices is equipped with a symplectic structure, an almost complex structure, and a compatible Riemannian (...)
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  27.  17
    Galilean-Covariant Clifford Algebras in the Phase-Space Representation.J. D. M. Vianna, M. C. B. Fernandes & A. E. Santana - 2005 - Foundations of Physics 35 (1):109-129.
    We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schrödinger equation for the density matrix of spin-1/2 particles in the presence of an electromagnetic field. The Liouville operator for the particle with spin follows from using the Wigner–Moyal transformation and a suitable Clifford algebra constructed on the phase space of a (4 + 1)-dimensional space–time with Galilean geometry. Connections with the algebraic formalism of thermofield dynamics are also investigated.
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  28.  48
    Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones. [REVIEW]W. Schleich, H. Walther & J. A. Wheeler - 1988 - Foundations of Physics 18 (10):953-968.
    We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both—to a “squeeze” in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, (...)
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  29.  64
    Models, confirmation, and chaos.Jeffrey Koperski - 1998 - Philosophy of Science 65 (4):624-648.
    The use of idealized models in science is by now well-documented. Such models are typically constructed in a “top-down” fashion: starting with an intractable theory or law and working down toward the phenomenon. This view of model-building has motivated a family of confirmation schemes based on the convergence of prediction and observation. This paper considers how chaotic dynamics blocks the convergence view of confirmation and has forced experimentalists to take a different approach to model-building. A method known as “phase (...)
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  30.  36
    On a quantum algebraic approach to a generalized phase space.D. Bohm & B. J. Hiley - 1981 - Foundations of Physics 11 (3-4):179-203.
    We approach the relationship between classical and quantum theories in a new way, which allows both to be expressed in the same mathematical language, in terms of a matrix algebra in a phase space. This makes clear not only the similarities of the two theories, but also certain essential differences, and lays a foundation for understanding their relationship. We use the Wigner-Moyal transformation as a change of representation in phase space, and we avoid the problem of (...)
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  31.  4
    A Novel Hybrid Model for Short-Term Wind Speed Forecasting Based on Twice Decomposition, PSR, and IMVO-ELM.Xin Xia & Xiaolu Wang - 2022 - Complexity 2022:1-21.
    Accurate wind speed forecasting is an effective way to improve the safety and stability of power grid. A novel hybrid model based on twice decomposition, phase space reconstruction, and an improved multiverse optimizer-extreme learning machine is proposed to enhance the performance of short-term wind speed forecasting in this paper. In consideration of the nonstationarity of the wind speed signal, a twice decomposition based on improved complete ensemble empirical mode decomposition with adaptive noise, fuzzy entropy, and variational mode (...)
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  32.  44
    Algebraically Self-Consistent Quasiclassical Approximation on Phase Space.Bill Poirier - 2000 - Foundations of Physics 30 (8):1191-1226.
    The Wigner–Weyl mapping of quantum operators to classical phase space functions preserves the algebra, when operator multiplication is mapped to the binary “*” operation. However, this isomorphism is destroyed under the quasiclassical substitution of * with conventional multiplication; consequently, an approximate mapping is required if algebraic relations are to be preserved. Such a mapping is uniquely determined by the fundamental relations of quantum mechanics, as is shown in this paper. The resultant quasiclassical approximation leads to an algebraic derivation (...)
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  33.  68
    The Extended Relativity Theory in Born-Clifford Phase Spaces with a Lower and Upper Length Scales and Clifford Group Geometric Unification.Carlos Castro - 2005 - Foundations of Physics 35 (6):971-1041.
    We construct the Extended Relativity Theory in Born-Clifford-Phase spaces with an upper R and lower length λ scales (infrared/ultraviolet cutoff). The invariance symmetry leads naturally to the real Clifford algebra Cl (2, 6, R) and complexified Clifford Cl C (4) algebra related to Twistors. A unified theory of all Noncommutative branes in Clifford-spaces is developed based on the Moyal-Yang star product deformation quantization whose deformation parameter involves the lower/upper scale $$(\hbar \lambda / R)$$. Previous work led us to show (...)
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  34.  3
    Predictive Analysis of Economic Chaotic Time Series Based on Chaotic Genetics Combined with Fuzzy Decision Algorithm.Xiuge Tan - 2021 - Complexity 2021:1-12.
    The irreversibility in time, the multicausality on lines, and the uncertainty of feedbacks make economic systems and the predictions of economic chaotic time series possess the characteristics of high dimensionalities, multiconstraints, and complex nonlinearities. Based on genetic algorithm and fuzzy rules, the chaotic genetics combined with fuzzy decision-making can use simple, fast, and flexible means to complete the goals of automation and intelligence that are difficult to traditional predicting algorithms. Moreover, the new combined method’s ergodicity can perform nonrepetitive searches in (...)
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  35.  8
    Improved Brain–Computer Interface Signal Recognition Algorithm Based on Few-Channel Motor Imagery.Fan Wang, Huadong Liu, Lei Zhao, Lei Su, Jianhua Zhou, Anmin Gong & Yunfa Fu - 2022 - Frontiers in Human Neuroscience 16.
    Common spatial pattern is an effective algorithm for extracting electroencephalogram features of motor imagery ; however, CSP mainly aims at multichannel EEG signals, and its effect in extracting EEG features with fewer channels is poor—even worse than before using CSP. To solve the above problem, a new combined feature extraction method has been proposed in this study. For EEG signals from fewer channels, wavelet packet transform, fast ensemble empirical mode decomposition, and local mean decomposition were used to decompose the band-pass (...)
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  36. Born’s Reciprocal Gravity in Curved Phase-Spaces and the Cosmological Constant.Carlos Castro - 2012 - Foundations of Physics 42 (8):1031-1055.
    The main features of how to build a Born’s Reciprocal Gravitational theory in curved phase-spaces are developed. By recurring to the nonlinear connection formalism of Finsler geometry a generalized gravitational action in the 8D cotangent space (curved phase space) can be constructed involving sums of 5 distinct types of torsion squared terms and 2 distinct curvature scalars ${\mathcal{R}}, {\mathcal{S}}$ which are associated with the curvature in the horizontal and vertical spaces, respectively. A Kaluza-Klein-like approach to the (...)
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  37.  6
    The Equiareal Archimedean Synchronization Method of the Quantum Symplectic Phase Space: II. Circle-Valued Moment Map, Integrality, and Symplectic Abelian Shadows.Elias Zafiris - 2022 - Foundations of Physics 52 (2):1-32.
    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, (...)
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  38.  3
    Analysis and Visualization of High-Dimensional Dynamical Systems’ Phase Space Using a Network-Based Approach.Shane St Luce & Hiroki Sayama - 2022 - Complexity 2022:1-11.
    The concept of attractors is considered critical in the study of dynamical systems as they represent the set of states that a system gravitates toward. However, it is generally difficult to analyze attractors in complex systems due to multiple reasons including chaos, high-dimensionality, and stochasticity. This paper explores a novel approach to analyzing attractors in complex systems by utilizing networks to represent phase spaces. We accomplish this by discretizing phase space and defining node associations with attractors by (...)
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  39.  13
    Normalized Observational Probabilities from Unnormalizable Quantum States or Phase-Space Distributions.Don N. Page - 2018 - Foundations of Physics 48 (7):827-836.
    Often it is assumed that a quantum state or a phase-space distribution must be normalizable. Here it is shown that even if it is not normalizable, one may be able to extract normalized observational probabilities from it.
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  40.  21
    On the nonclassical character of the phase-space representations of quantum mechanics.W. Guz - 1985 - Foundations of Physics 15 (2):121-128.
    The quasiclassical representations of quantum theory, generalizing the concept of a phase-space representation of quantum mechanics, are studied with particular emphasis on some questions connected with the Jordan structure of the classical and quantum algebras of observables. A generalized version of the theorem of Gleason, Kahane, and Zelazko is used to establish some nonclassical features of these representations.
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  41.  53
    Prediction of multivariate chaotic time series via radial basis function neural network.Diyi Chen & Wenting Han - 2013 - Complexity 18 (4):55-66.
  42.  1
    Extracting and representing qualitative behaviors of complex systems in phase space.Feng Zhao - 1994 - Artificial Intelligence 69 (1-2):51-92.
  43.  3
    Function moves biomolecular condensates in phase space.Marina Feric & Tom Misteli - 2022 - Bioessays 44 (5):2200001.
    Phase separation underlies the formation of biomolecular condensates. We hypothesize the cellular processes that occur within condensates shape their structural features. We use the example of transcription to discuss structure–function relationships in condensates. Various types of transcriptional condensates have been reported across the evolutionary spectrum in the cell nucleus as well as in mitochondrial and bacterial nucleoids. In vitro and in vivo observations suggest that transcriptional activity of condensates influences their supramolecular structure, which in turn affects their function. Condensate (...)
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  44.  27
    Possible test of the reality of superluminal phase waves and particle phase space motions in the Einstein-de Broglie-Bohm causal stochastic interpretation of quantum mechanics.J. P. Vigier - 1994 - Foundations of Physics 24 (1):61-83.
    Recent double-slit type neutron experiments (1) and their theoretical implications (2) suggest that, since one can tell through which slit the individual neutrons travel, coherent wave packets remain nonlocally coupled (with particles one by one), even in the case of wide spatial separation. Following de Broglie's initial proposal, (3) this property can be derived from the existence of the persisting action of real superluminal physical phase waves considered as building blocks of the real subluminal wave field packets which surround (...)
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  45.  2
    Grammatical description of behaviors of ordinary differential equations in two-dimensional phase space.Toyoaki Nishida - 1997 - Artificial Intelligence 91 (1):3-32.
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  46. Beyond Desartes and Newton: Recovering life and humanity.Stuart A. Kauffman & Arran Gare - 2015 - Progress in Biophysics and Molecular Biology 119 (3):219-244.
    Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against Cartesian thought (...)
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  47. Space–time philosophy reconstructed via massive Nordström scalar gravities? Laws vs. geometry, conventionality, and underdetermination.J. Brian Pitts - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 53:73-92.
    What if gravity satisfied the Klein-Gordon equation? Both particle physics from the 1920s-30s and the 1890s Neumann-Seeliger modification of Newtonian gravity with exponential decay suggest considering a "graviton mass term" for gravity, which is _algebraic_ in the potential. Unlike Nordström's "massless" theory, massive scalar gravity is strictly special relativistic in the sense of being invariant under the Poincaré group but not the 15-parameter Bateman-Cunningham conformal group. It therefore exhibits the whole of Minkowski space-time structure, albeit only indirectly concerning volumes. (...)
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  48.  35
    Reconstructing an Open Order from Its Closure, with Applications to Space-Time Physics and to Logic.Francisco Zapata & Vladik Kreinovich - 2012 - Studia Logica 100 (1-2):419-435.
    In his logical papers, Leo Esakia studied corresponding ordered topological spaces and order-preserving mappings. Similar spaces and mappings appear in many other application areas such the analysis of causality in space-time. It is known that under reasonable conditions, both the topology and the original order relation $${\preccurlyeq}$$ can be uniquely reconstructed if we know the “interior” $${\prec}$$ of the order relation. It is also known that in some cases, we can uniquely reconstruct $${\prec}$$ (and hence, topology) from $${\preccurlyeq}$$. In (...)
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  49.  17
    Reconstructing neural representations of tactile space.Luigi Tamè, Raffaele Tucciarelli, Renata Sadibolova, Martin I. Sereno & Matthew R. Longo - 2021 - NeuroImage 229.
    Psychophysical experiments have demonstrated large and highly systematic perceptual distortions of tactile space. Such a space can be referred to our experience of the spatial organisation of objects, at representational level, through touch, in analogy with the familiar concept of visual space. We investigated the neural basis of tactile space by analysing activity patterns induced by tactile stimulation of nine points on a 3 × 3 square grid on the hand dorsum using functional magnetic resonance imaging. (...)
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    Rational Reconstruction of Relativistic Space and time and the Physical Objectivity of Space and Time : A Study on Reichenbach’s Axiomatization of the Theory of Relativity (1924). 강형구 - 2022 - Journal of the Daedong Philosophical Association 101:1-32.
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