Results for 'Time-symmetric quantum mechanics'

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  1.  26
    Highlighting the Mechanism of the Quantum Speedup by Time-Symmetric and Relational Quantum Mechanics.Giuseppe Castagnoli - 2016 - Foundations of Physics 46 (3):360-381.
    Bob hides a ball in one of four drawers. Alice is to locate it. Classically she has to open up to three drawers, quantally just one. The fundamental reason for this quantum speedup is not known. The usual representation of the quantum algorithm is limited to the process of solving the problem. We extend it to the process of setting the problem. The number of the drawer with the ball becomes a unitary transformation of the random outcome of (...)
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  2.  46
    Time-Symmetric Quantum Mechanics.K. B. Wharton - 2007 - Foundations of Physics 37 (1):159-168.
    A time-symmetric formulation of nonrelativistic quantum mechanics is developed by applying two consecutive boundary conditions onto solutions of a time- symmetrized wave equation. From known probabilities in ordinary quantum mechanics, a time-symmetric parameter P0 is then derived that properly weights the likelihood of any complete sequence of measurement outcomes on a quantum system. The results appear to match standard quantum mechanics, but do so without requiring a time-asymmetric collapse of the wavefunction (...)
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  3. Why Quantum Mechanics Favors Adynamical and Acausal Interpretations Such as Relational Blockworld Over Backwardly Causal and Time-Symmetric Rivals.Michael Silberstein, Michael Cifone & William Mark Stuckey - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):736-751.
    We articulate the problems posed by the quantum liar experiment (QLE) for backwards causation interpretations of quantum mechanics, time-symmetric accounts and other dynamically oriented local hidden variable theories. We show that such accounts cannot save locality in the case of QLE merely by giving up “lambda-independence.” In contrast, we show that QLE poses no problems for our acausal Relational Blockworld interpretation of quantum mechanics, which invokes instead adynamical global constraints to explain Einstein–Podolsky–Rosen (EPR) correlations (...)
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  4.  17
    Time Symmetric Quantum Mechanics and Causal Classical Physics?W. Bopp Fritz - 2017 - Foundations of Physics 47 (4):490-504.
    A two boundary quantum mechanics without time ordered causal structure is advocated as consistent theory. The apparent causal structure of usual “near future” macroscopic phenomena is attributed to a cosmological asymmetry and to rules governing the transition between microscopic to macroscopic observations. Our interest is a heuristic understanding of the resulting macroscopic physics.
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  5.  11
    On Time, Causation and Explanation in the Causally Symmetric Bohmian Model of Quantum Mechanics.Joseph Berkovitz - 2017 - In Christophe Bouton & Philippe Huneman (eds.), Time of Nature and the Nature of Time. Springer International Publishing. pp. 139-172.
    Quantum mechanics portrays the universe as involving non-local influences that are difficult to reconcile with relativity theory. By postulating backward causation, retro-causal interpretations of quantum mechanics could circumvent these influences and accordingly reconcile quantum mechanics with relativity. The postulation of backward causation poses various challenges for the retro-causal interpretations of quantum mechanics and for the existing conceptual frameworks for analyzing counterfactual dependence, causation and causal explanation. In this chapter, we analyze the nature (...)
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  6.  28
    Is There Really "Retrocausation" in Time-Symmetric Approaches to Quantum Mechanics?Ruth Kastner - unknown
    Time-symmetric interpretations of quantum theory are often presented as featuring "retrocausal" effects in addition to the usual forward notion of causation. This paper examines the ontological implications of certain time- symmetric theories, and finds that no dynamical notion of causation applies to them, either forward or backward. It is concluded that such theories actually describe a static picture, in which the notion of causation is relegated to a descriptor of static relationships among events. In addition, these theories lead (...)
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  7. Quantum Mechanics as a Consistency Condition on Initial and Final Boundary Conditions.David John Miller - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):767-781.
    If the block universe view is correct, the future and the past have similar status and one would expect physical theories to involve final as well as initial boundary conditions. A plausible consistency condition between the initial and final boundary conditions in non-relativistic quantum mechanics leads to the idea that the properties of macroscopic quantum systems, relevantly measuring instruments, are uniquely determined by the boundary conditions. An important element in reaching that conclusion is that preparations and measurements (...)
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  8.  42
    Time as a Geometric Concept Involving Angular Relations in Classical Mechanics and Quantum Mechanics.Juan Eduardo Reluz Machicote - 2010 - Foundations of Physics 40 (11):1744-1778.
    The goal of this paper is to introduce the notion of a four-dimensional time in classical mechanics and in quantum mechanics as a natural concept related with the angular momentum. The four-dimensional time is a consequence of the geometrical relation in the particle in a given plane defined by the angular momentum. A quaternion is the mathematical entity that gives the correct direction to the four-dimensional time.Taking into account the four-dimensional time as a vectorial quaternionic idea, we (...)
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  9.  25
    Arrow of Time in Rigged Hilbert Space Quantum Mechanics.Robert C. Bishop - 2004 - International Journal of Theoretical Physics 43 (7):1675–1687.
    Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registration arrow. An analysis of this arrow and its role in Bohm's theory of scattering is given. Similarly, the Brussels-Austin Group uses an excitation/de-excitation arrow for ordering events, which is also analyzed. The relationship between the two approaches is discussed focusing on their semi-group (...)
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  10.  27
    Composite Time Concept for Quantum Mechanics and Bio-Psychology.Franz Klaus Jansen - 2018 - Philosophy Study 8 (2):49-66.
    Time has multiple aspects and is difficult to define as one unique entity, which therefore led to multiple interpretations in physics and philosophy. However, if the perception of time is considered as a composite time concept, it can be decomposed into basic invariable components for the perception of progressive and support-fixed time and into secondary components with possible association to unit-defined time or tense. Progressive time corresponds to Bergson’s definition of duration without boundaries, which cannot be divided for measurements. Time (...)
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  11.  84
    Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-Reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics[REVIEW]Diego L. Rapoport - 2011 - Foundations of Physics 41 (1):33-76.
    In this transdisciplinary article which stems from philosophical considerations (that depart from phenomenology—after Merleau-Ponty, Heidegger and Rosen—and Hegelian dialectics), we develop a conception based on topological (the Moebius surface and the Klein bottle) and geometrical considerations (based on torsion and non-orientability of manifolds), and multivalued logics which we develop into a unified world conception that surmounts the Cartesian cut and Aristotelian logic. The role of torsion appears in a self-referential construction of space and time, which will be further related to (...)
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  12.  23
    Time Symmetry and Interpretation of Quantum Mechanics.O. Costa de Beauregard - 1976 - Foundations of Physics 6 (5):539-559.
    A drastic resolution of the quantum paradoxes is proposed, combining (I) von Neumann's postulate that collapse of the state vector is due to the act of observation, and (II) my reinterpretation of von Neumann's quantal irreversibility as an equivalence between wave retardation and entropy increase, both being “factlike” rather than “lawlike” (Mehlberg). This entails a coupling of the two de jure symmetries between (I) retarded and (II) advanced waves, and between Aristotle's information as (I) learning and (II) willing awareness. (...)
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  13.  59
    Discussion: Time-Symmetric Quantum Counterfactuals.Lev Vaidman - manuscript
    There is a trend to consider counterfactuals as invariably time-asymmetric. Recently, this trend manifested itself in the controversy about validity of counterfactual application of a time-symmetric quantum probability rule. Kastner (2003) analyzed this controversy and concluded that there are time-symmetric quantum counterfactuals which are consistent, but they turn out to be trivial. I correct Kastner's misquotation of my defense of time-symmetric quantum counterfactuals and explain their non-trivial aspects, thus contesting the claim that counterfactuals have (...)
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  14.  46
    Quantum Mechanics in a Time-Asymmetric Universe: On the Nature of the Initial Quantum State.Eddy Keming Chen - forthcoming - British Journal for the Philosophy of Science:axy068.
    In a quantum universe with a strong arrow of time, we postulate a low-entropy boundary condition to account for the temporal asymmetry. In this paper, I show that the Past Hypothesis also contains enough information to simplify the quantum ontology and define a unique initial condition in such a world. First, I introduce Density Matrix Realism, the thesis that the quantum universe is described by a fundamental density matrix that represents something objective. This stands in sharp contrast (...)
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  15. Everettian Quantum Mechanics Without Branching Time.Alastair Wilson - 2012 - Synthese 188 (1):67-84.
    In this paper I assess the prospects for combining contemporary Everettian quantum mechanics (EQM) with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap. I begin by outlining the salient features of ‘decoherence-based’ EQM, and of the ‘consistent histories’ formalism that is particularly apt for conceptual discussions in EQM. This formalism permits of both ‘branching worlds’ and ‘parallel worlds’ interpretations; the metaphysics of EQM is in this sense underdetermined by the physics. A prominent argument due to (...)
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  16.  46
    Classical and Quantum Mechanics Via Supermetrics in Time.E. Gozzi - 2010 - Foundations of Physics 40 (7):795-806.
    Koopman-von Neumann in the 30’s gave an operatorial formulation of Classical Mechanics. It was shown later on that this formulation could also be written in a path-integral form. We will label this functional approach as CPI (for classical path-integral) to distinguish it from the quantum mechanical one, which we will indicate with QPI. In the CPI two Grassmannian partners of time make their natural appearance and in this manner time becomes something like a three dimensional supermanifold. Next we (...)
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  17.  55
    Absorbers in the Transactional Interpretation of Quantum Mechanics.Jean-Sébastien Boisvert & Louis Marchildon - 2013 - Foundations of Physics 43 (3):294-309.
    The transactional interpretation of quantum mechanics, following the time-symmetric formulation of electrodynamics, uses retarded and advanced solutions of the Schrödinger equation and its complex conjugate to understand quantum phenomena by means of transactions. A transaction occurs between an emitter and a specific absorber when the emitter has received advanced waves from all possible absorbers. Advanced causation always raises the specter of paradoxes, and it must be addressed carefully. In particular, different devices involving contingent absorbers or various (...)
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  18.  30
    Time-Reversal, Irreversibility and Arrow of Time in Quantum Mechanics.M. Castagnino, M. Gadella & O. Lombardi - 2006 - Foundations of Physics 36 (3):407-426.
    The aim of this paper is to analyze time-asymmetric quantum mechanics with respect of its validity as a non time-reversal invariant, time-asymmetric theory as well as of its ability to determine an arrow of time.
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  19.  67
    Is Minkowski Space-Time Compatible with Quantum Mechanics?Eugene V. Stefanovich - 2002 - Foundations of Physics 32 (5):673-703.
    In quantum relativistic Hamiltonian dynamics, the time evolution of interacting particles is described by the Hamiltonian with an interaction-dependent term (potential energy). Boost operators are responsible for (Lorentz) transformations of observables between different moving inertial frames of reference. Relativistic invariance requires that interaction-dependent terms (potential boosts) are present also in the boost operators and therefore Lorentz transformations depend on the interaction acting in the system. This fact is ignored in special relativity, which postulates the universality of Lorentz transformations and (...)
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  20. Time, Quantum Mechanics, and Probability.Simon Saunders - 1997 - Synthese 114 (3):373-404.
    A variety of ideas arising in decoherence theory, and in the ongoing debate over Everett's relative-state theory, can be linked to issues in relativity theory and the philosophy of time, specifically the relational theory of tense and of identity over time. These have been systematically presented in companion papers (Saunders 1995; 1996a); in what follows we shall consider the same circle of ideas, but specifically in relation to the interpretation of probability, and its identification with relations in the Hilbert Space (...)
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  21.  86
    Time in Quantum Mechanics.Jan Hilgevoord & David Atkinson - 2001 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
    Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of quantum mechanics that forces us to treat (...)
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  22.  78
    Finding “Real‘ Time in Quantum Mechanics”.Craig Callender - 2008 - In William Lane Craig & Quentin Smith (eds.), Einstein, Relativity, and Absolute Simultaneity. Routledge. pp. 50-72.
    Many believe that quantum mechanics makes the world hospitable to the tensed theory of time. Quantum mechanics is said to rescue the significance of the present moment, the mutability of the future and possibly even the whoosh of time’s flow. It allegedly does so in two different ways: by making a preferred foliation of spacetime into space and time scientifically respectable, and by wavefunction collapse injecting temporal ‘becoming’ into the world. The aim of this paper is (...)
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  23.  53
    Time's Arrow and Irreversibility in Time‐Asymmetric Quantum Mechanics.Mario Castagnino, Manuel Gadella & Olimpia Lombardi - 2005 - International Studies in the Philosophy of Science 19 (3):223 – 243.
    The aim of this paper is to analyze time-asymmetric quantum mechanics with respect to the problems of irreversibility and of time's arrow. We begin with arguing that both problems are conceptually different. Then, we show that, contrary to a common opinion, the theory's ability to describe irreversible quantum processes is not a consequence of the semigroup evolution laws expressing the non-time-reversal invariance of the theory. Finally, we argue that time-asymmetric quantum mechanics, either in Prigogine's version (...)
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  24. The Rise and Fall of Time-Symmetrized Quantum Mechanics.W. David Sharp & Niall Shanks - 1993 - Philosophy of Science 60 (3):488-499.
    In the context of a discussion of time symmetry in the quantum mechanical measurement process, Aharonov et al. (1964) derived an expression concerning probabilities for the outcomes of measurements conducted on systems which have been pre- and postselected on the basis of both preceding and succeeding measurements. Recent literature has claimed that a resulting "time-symmetrized" interpretation of quantum mechanics has significant implications for some basic issues, such as contextuality and determinateness, in elementary, nonrelativistic quantum mechanics. (...)
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  25.  42
    The Nature of the Controversy Over Time‐Symmetric Quantum Counterfactuals.Ruth Kastner - 2002 - Philosophy of Science 70 (1):145-163.
    It is proposed that the recent controversy over "time-symmetric quantum counterfactuals" (TSQCs), based on the Aharonov-Bergmann-Lebowitz Rule for measurements of pre- and post-selected systems, can be clarified by taking TSQCs to be counterfactuals with a specific type of compound antecedent. In that case, inconsistency proofs such as that of Sharp and Shanks (1993) are not applicable, and the main issue becomes not whether such statements are true, but whether they are nontrivial. The latter question is addressed and answered (...)
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  26.  47
    Time-Reversal Invariance and Irreversibility in Time-Asymmetric Quantum Mechanics.Mario Castagnino, Manuel Gadella & Olimpia Lombardi - unknown
    The aim of this paper is to analyze the concepts of time-reversal invariance and irreversibility in the so-called 'time-asymmetric quantum mechanics'. We begin with pointing out the difference between these two concepts. On this basis, we show that irreversibility is not as tightly linked to the semigroup evolution laws of the theory -which lead to its non time-reversal invariance- as usually suggested. In turn, we argue that the irreversible evolutions described by the theory are coarse-grained processes.
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  27. Remarks on the Direction of Time in Quantum Mechanics.Meir Hemmo - 2002 - Philosophy of Science 70 (5):1458-1471.
    I argue that in the many worlds interpretation of quantum mechanics time has no fundamental direction. I further discuss a way to recover thermodynamics in this interpretation using decoherence theory (Zurek and Paz 1994). Albert's proposal to recover thermodynamics from the collapse theory of Ghirardi et al. (1986) is also considered.
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  28.  19
    Time and the Foundations of Quantum Mechanics.Thomas Pashby - unknown
    Quantum mechanics has provided philosophers of science with many counterintuitive insights and interpretive puzzles, but little has been written about the role that time plays in the theory. One reason for this is the celebrated argument of Wolfgang Pauli against the inclusion of time as an observable of the theory, which has been seen as a demonstration that time may only enter the theory as a classical parameter. Against this orthodoxy I argue that there are good reasons to (...)
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  29.  84
    Time, Quantum Mechanics, and Tense.Simon Saunders - 1996 - Synthese 107 (1):19 - 53.
    The relational approach to tense holds that the now, passage, and becoming are to be understood in terms of relations between events. The debate over the adequacy of this framework is illustrated by a comparative study of the sense in which physical theories, (in)deterministic and (non)relativistic, can lend expression to the metaphysics at issue. The objective is not to settle the matter, but to clarify the nature of this metaphysics and to establish that the same issues are at stake in (...)
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  30.  2
    Can the Two-Time Interpretation of Quantum Mechanics Solve the Measurement Problem?Katie Robertson - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 58:54-62.
    Over many years, Aharonov and co-authors have proposed a new interpretation of quantum mechanics: the two-time interpretation. This interpretation assigns two wavefunctions to a system, one of which propagates forwards in time and the other backwards. In this paper, I argue that this interpretation does not solve the measurement problem. In addition, I argue that it is neither necessary nor sufficient to attribute causal power to the backwards-evolving wavefunction ⟨Φ| and thus its existence should be denied, contra the (...)
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  31. A Defense of Backwards in Time Causation Models in Quantum Mechanics.Phil Dowe - 1997 - Synthese 112 (2):233-246.
    This paper offers a defense of backwards in time causation models in quantum mechanics. Particular attention is given to Cramer's transactional account, which is shown to have the threefold virtue of solving the Bell problem, explaining the complex conjugate aspect of the quantum mechanical formalism, and explaining various quantum mysteries such as Schrödinger's cat. The question is therefore asked, why has this model not received more attention from physicists and philosophers? One objection given by physicists in (...)
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  32.  29
    Quantization of Space-Time and the Corresponding Quantum Mechanics.M. Banai - 1985 - Foundations of Physics 15 (12):1203-1245.
    An axiomatic framework for describing general space-time models is presented. Space-time models to which irreducible propositional systems belong as causal logics are quantum (q) theoretically interpretable and their event spaces are Hilbert spaces. Such aq space-time is proposed via a “canonical” quantization. As a basic assumption, the time t and the radial coordinate r of aq particle satisfy the canonical commutation relation [t,r]=±i $h =$ . The two cases will be considered simultaneously. In that case the event space is (...)
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  33.  29
    Response to Dr. Pashby: Time Operators and POVM Observables in Quantum Mechanics.Gordon N. Fleming - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part A):39-43.
    I argue against a general time observable in quantum mechanics except for quantum gravity theory. Then I argue in support of case specific arrival time and dwell time observables with a cautionary note concerning the broad approach to POVM observables because of the wild proliferation available.
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  34.  5
    Horizon Quantum Mechanics: Spherically Symmetric and Rotating Sources.Roberto Casadio, Andrea Giugno, Andrea Giusti & Octavian Micu - 2018 - Foundations of Physics 48 (10):1204-1218.
    The Horizon Quantum Mechanics is an approach that allows one to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. We first review the formalism and show how it reproduces a gravitationally inspired GUP relation. This results leads to unacceptably large fluctuations in the horizon size of astrophysical black holes if one insists in describing them as central singularities. On the other hand, if they are (...)
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  35.  29
    Quantum Mechanics and the Direction of Time.H. Hasegawa, T. Petrosky, I. Prigogine & S. Tasaki - 1991 - Foundations of Physics 21 (3):263-281.
    In recent papers the authors have discussed the dynamical properties of “large Poincaré systems” (LPS), that is, nonintegrable systems with a continuous spectrum (both classical and quantum). An interesting example of LPS is given by the Friedrichs model of field theory. As is well known, perturbation methods analytic in the coupling constant diverge because of resonant denominators. We show that this Poincaré “catastrophe” can be eliminated by a natural time ordering of the dynamical states. We obtain then a dynamical (...)
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  36.  8
    Novel Principles and the Charge-Symmetric Design of Dirac’s Quantum Mechanics: I. Enhanced Eriksen’s Theorem and the Universal Charge-Index Formalism for Dirac’s Equation in External Static Fields.Yu V. Kononets - 2016 - Foundations of Physics 46 (12):1598-1633.
    The presented enhanced version of Eriksen’s theorem defines an universal transform of the Foldy–Wouthuysen type and in any external static electromagnetic field reveals a discrete symmetry of Dirac’s equation, responsible for existence of a highly influential conserved quantum number—the charge index distinguishing two branches of DE spectrum. It launches the charge-index formalism obeying the charge-index conservation law. Via its unique ability to manipulate each spectrum branch independently, the CIF creates a perfect charge-symmetric architecture of Dirac’s quantum mechanics, (...)
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  37.  9
    Space-Time, Relativity and Quantum Mechanics: In Search of a Deeper Connection.Shan Gao - unknown
    It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrodinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linearity of time evolution.
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  38.  24
    Quantum Mechanics, Time and Ontology.Valia Allori - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66:145-154.
    Against what is commonly accepted in many contexts, it has been recently suggested that both deterministic and indeterministic quantum theories are not time‐reversal invariant, and thus time is handed in a quantum world. In this paper, I analyze these arguments and evaluate possible reactions to them. In the context of deterministic theories, first I show that this conclusion depends on the controversial assumption that the wave‐function is a physically real scalar field in configuration space. Then I argue that (...)
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  39.  37
    Individuation in Quantum Mechanics and Space-Time.Gregg Jaeger - 2010 - Foundations of Physics 40 (9-10):1396-1409.
    Two physical approaches—as distinct, under the classification of Mittelstaedt, from formal approaches—to the problem of individuation of quantum objects are considered, one formulated in spatiotemporal terms and one in quantum mechanical terms. The spatiotemporal approach itself has two forms: one attributed to Einstein and based on the ontology of space-time points, and the other proposed by Howard and based on intersections of world lines. The quantum mechanical approach is also provided here in two forms, one based on (...)
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  40. Facts and Time in Quantum Mechanics: A Study in Phenomenology and Pragmatics.Michel Bitbol - 2010 - Manuscrito 33 (1):73-121.
    The concept of well-defined and mutually exclusive objective facts has no counterpart in the formalism of standard quantum mechanics. Bypassing decoherence theories, we then inquire into the conditions of use of this concept of objective fact, and find that it is grounded on the possibility of making reference to spatio-temporal continuants and permanent properties. Since these conditions are not fulfilled within the quantum paradigm, one must look for appropriate substitutes. Two such substitutes are discussed. The first one (...)
     
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  41.  10
    Emergent Quantum Mechanics : David Bohm Centennial Perspectives.Jan Walleczek, Gerhard Grössing, Paavo Pylkkänen & Basil Hiley - 2019 - Entropy 21 (2).
    Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in realist approaches to quantum mechanics challenges the standard textbook view, which represents an operationalist approach. The possibility of an ontological, i.e., realist, quantum mechanics was first introduced with the original de Broglie-Bohm theory, which has also been developed in another context as Bohmian mechanics. This Editorial introduces a Special Issue featuring contributions which were invited (...)
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  42. Time's Arrow in a Quantum Universe: On the Status of Statistical Mechanical Probabilities.Eddy Keming Chen - forthcoming - In Valia Allori (ed.), Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature. World Scientific.
    In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are (...)
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  43.  21
    Fixed Past and Uncertain Future: A Single-Time Covariant Quantum Particle Mechanics[REVIEW]H. Pierre Noyes - 1975 - Foundations of Physics 5 (1):37-43.
    A covariant quantum mechanics for systems of finite-mass particles at finite energy follows from interpreting as Wick-Yukawa fluctuations in particle number the quantum fluctuations which are needed by Phipps to understand measurement theory and by Gyftopoulos to understand the second law of thermodynamics. The dynamical one-variable equations require as input the (N − 1)-particle transition matrices and an N-N vertex or coupling constants at three-particle vertices.
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  44.  24
    Quantum Mechanics in Galilean Space-Time.Ray E. Artz - 1981 - Foundations of Physics 11 (11-12):839-862.
    The usual quantum mechanical treatment of a Schrödinger particle is translated into manifestly Galilean-invariant language, primarily through the use of Wigner-distribution methods. The hydrodynamical formulation of quantum mechanics is derived directly from the Wigner-distribution formulation, and the two formulations are compared. Wigner distributions are characterized directly, i.e., without reference to wave functions, and a heuristic interpretation of Wigner distributions and their evolution is developed.
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  45.  31
    Quantum Mechanics of Space and Time.H. S. Green - 1978 - Foundations of Physics 8 (7-8):573-591.
    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 (...)
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  46. The Space-Time Origin of Quantum Mechanics: Covering Law. [REVIEW]George Svetlichny - 2000 - Foundations of Physics 30 (11):1819-1847.
    A Hilbert-space model for quantum logic follows from space-time structure in theories with consistent state collapse descriptions. Lorentz covariance implies a condition on space-like separated propositions that if imposed on generally commuting ones would lead to the covering law, and such a generalization can be argued if state preparation can be conditioned to space-like separated events using EPR-type correlations. The covering law is thus related to space-time structure, though a final understanding of it, through a self-consistency requirement, will probably (...)
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  47.  68
    The Quantum Mechanics and Conceptuality: Matter, Histories, Semantics, and Space-Time.Diederik Aerts - 2013 - Scientiae Studia 11 (1):75-99.
    Elaboramos aquí una nueva interpretación propuesta recientemente de la teoría cuántica, según la cual las partículas cuánticas son consideradas como entidades conceptuales que median entre los pedazos de materia ordinaria los cuales son considerados como estructuras de memoria para ellos. Nuestro objetivo es identificar qué es lo equivalente para el ámbito cognitivo humano de lo que el espacio-tiempo físico es para el ámbito de las partículas cuánticas y de la materia ordinaria. Para ello, se identifica la noción de "historia" como (...)
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    The Concept of Measurement and Time Symmetry in Quantum Mechanics.M. Bitbol - 1988 - Philosophy of Science 55 (3):349-375.
    The formal time symmetry of the quantum measurement process is extensively discussed. Then, the origin of the alleged association between a fixed temporal direction and quantum measurements is investigated. It is shown that some features of such an association might arise from epistemological rather than purely physical assumptions. In particular, it is brought out that a sequence of statements bearing on quantum measurements may display intrinsic asymmetric properties, irrespective of the location of corresponding measurements in time t (...)
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  49. The Computable Universe: From Prespace Metaphysics to Discrete Quantum Mechanics.Martin Leckey - 1997 - Dissertation, Monash University
    The central motivating idea behind the development of this work is the concept of prespace, a hypothetical structure that is postulated by some physicists to underlie the fabric of space or space-time. I consider how such a structure could relate to space and space-time, and the rest of reality as we know it, and the implications of the existence of this structure for quantum theory. Understanding how this structure could relate to space and to the rest of reality requires, (...)
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    A Symmetrical Interpretation of the Klein-Gordon Equation.Michael B. Heaney - 2013 - Foundations of Physics 43 (6):733-746.
    This paper presents a new Symmetrical Interpretation (SI) of relativistic quantum mechanics which postulates: quantum mechanics is a theory about complete experiments, not particles; a complete experiment is maximally described by a complex transition amplitude density; and this transition amplitude density never collapses. This SI is compared to the Copenhagen Interpretation (CI) for the analysis of Einstein’s bubble experiment. This SI makes several experimentally testable predictions that differ from the CI, solves one part of the measurement (...)
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