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  • Kepler Problem in Space with Deformed Lorentz-Covariant Poisson Brackets
    Found. Phys. (IF 1.437) Pub Date : 2020-08-03
    M. I. Samar, V. M. Tkachuk

    We propose a Lorentz-covariant deformed algebra describing a (3 + 1)-dimensional quantized spacetime, which in the nonrelativistic limit leads to undeformed one. The deformed Poincaré transformations leaving the algebra invariant are identified. In the classical limit the Lorentz-covariant deformed algebra yields the deformed Lorentz-covariant Poisson brackets. Kepler problem with the deformed Lorentz-covariant

    更新日期:2020-08-04
  • Intuitionist Physics
    Found. Phys. (IF 1.437) Pub Date : 2020-07-28
    P.-M. Binder

    A recent proposal to formulate physics in terms of finite-information variables is examined, concentrating on its consequences for classical mechanics. Both shortcomings and promising avenues are discussed.

    更新日期:2020-07-28
  • Trajectory Interpretation of Correspondence Principle: Solution of Nodal Issue
    Found. Phys. (IF 1.437) Pub Date : 2020-07-25
    Ciann-Dong Yang, Shiang-Yi Han

    The correspondence principle states that the quantum system will approach the classical system in high quantum numbers. Indeed, the average of the quantum probability density distribution reflects a classical-like distribution. However, the probability of finding a particle at the node of the wave function is zero. This condition is recognized as the nodal issue. In this paper, we propose a solution

    更新日期:2020-07-25
  • Markovian and Non-Markovian Quantum Measurements
    Found. Phys. (IF 1.437) Pub Date : 2020-07-22
    Jennifer R. Glick, Christoph Adami

    Consecutive measurements performed on the same quantum system can reveal fundamental insights into quantum theory’s causal structure, and probe different aspects of the quantum measurement problem. According to the Copenhagen interpretation, measurements affect the quantum system in such a way that the quantum superposition collapses after each measurement, erasing any memory of the prior state. We

    更新日期:2020-07-23
  • How Humean is Bohumianism?
    Found. Phys. (IF 1.437) Pub Date : 2020-07-22
    Tomasz Bigaj, Antonio Vassallo

    An important part of the influential Humean doctrine in philosophy is the supervenience principle (sometimes referred to as the principle of separability). This principle asserts that the complete state of the world supervenes on the intrinsic properties of its most fundamental components and their spatiotemporal relations (the so-called Humean mosaic). There are well-known arguments in the literature

    更新日期:2020-07-22
  • Empirical Underdetermination for Physical Theories in C* Algebraic Setting: Comments to an Arageorgis's Argument
    Found. Phys. (IF 1.437) Pub Date : 2020-07-18
    Chrysovalantis Stergiou

    In this paper, I reconstruct an argument of Aristidis Arageorgis against empirical underdetermination of the state of a physical system in a C*-algebraic setting and explore its soundness. The argument, aiming against algebraic imperialism, the operationalist attitude which characterized the first steps of Algebraic Quantum Field Theory, is based on two topological properties of the state space: being

    更新日期:2020-07-18
  • Quantum Mechanics and Its Interpretations: A Defense of the Quantum Principles
    Found. Phys. (IF 1.437) Pub Date : 2020-07-17
    Sébastien Poinat

    One of the most striking features of the epistemological situation of Quantum Mechanics is the number of interpretations and the many schools of thought, with no consensus on the way to understand the theory. In this article, I introduce a distinction between orthodox interpretations and heterodox interpretations of Quantum Mechanics: the orthodox interpretations preserve all the quantum principles

    更新日期:2020-07-17
  • Operational Restrictions in General Probabilistic Theories
    Found. Phys. (IF 1.437) Pub Date : 2020-07-12
    Sergey N. Filippov, Stan Gudder, Teiko Heinosaari, Leevi Leppäjärvi

    The formalism of general probabilistic theories provides a universal paradigm that is suitable for describing various physical systems including classical and quantum ones as particular cases. Contrary to the usual no-restriction hypothesis, the set of accessible meters within a given theory can be limited for different reasons, and this raises a question of what restrictions on meters are operationally

    更新日期:2020-07-13
  • On the Second Dipole Moment of Dirac’s Particle
    Found. Phys. (IF 1.437) Pub Date : 2020-07-10
    Engel Roza

    An analysis is presented of the possible existence of the second anomalous dipole moment of Dirac’s particle next to the one associated with the angular momentum. It includes a discussion why, in spite of his own derivation, Dirac has doubted about its relevancy. It is shown why since then it has been overlooked and why it has vanished from leading textbooks. A critical survey is given on the reasons

    更新日期:2020-07-10
  • Noncommutative Momentum and Torsional Regularization
    Found. Phys. (IF 1.437) Pub Date : 2020-07-10
    Nikodem Popławski

    We show that in the presence of the torsion tensor \(S^k_{ij}\), the quantum commutation relation for the four-momentum, traced over spinor indices, is given by \([p_i,p_j]=2i\hbar S^k_{ij}p_k\). In the Einstein–Cartan theory of gravity, in which torsion is coupled to spin of fermions, this relation in a coordinate frame reduces to a commutation relation of noncommutative momentum space, \([p_i,p_j]=i\epsilon

    更新日期:2020-07-10
  • Addressing the cosmological $$H_0$$ H 0 tension by the Heisenberg uncertainty
    Found. Phys. (IF 1.437) Pub Date : 2020-07-08
    Salvatore Capozziello, Micol Benetti, Alessandro D. A. M. Spallicci

    The uncertainty on measurements, given by the Heisenberg principle, is a quantum concept usually not taken into account in General Relativity. From a cosmological point of view, several authors wonder how such a principle can be reconciled with the Big Bang singularity, but, generally, not whether it may affect the reliability of cosmological measurements. In this letter, we express the Compton mass

    更新日期:2020-07-08
  • Algorithmic Measurement Procedures
    Found. Phys. (IF 1.437) Pub Date : 2020-07-08
    Aldo F. G. Solis-Labastida, Jorge G. Hirsch

    Measurements are shown to be processes designed to return figures: they are effective. This effectivity allows for a formalization as Turing machines, which can be described employing computation theory. Inspired in the halting problem we draw some limitations for measurement procedures: procedures that verify if a quantity is measured cannot work in every case.

    更新日期:2020-07-08
  • A Quantum Field Theory View of Interaction Free Measurements
    Found. Phys. (IF 1.437) Pub Date : 2020-06-30
    Filipe C. R. Barroso, Orfeu Bertolami

    We propose a Quantum Field Theory description of beams on a Mach–Zehnder interferometer and apply the method to describe Interaction Free Measurements (IFMs), concluding that there is a change of momentum of the fields in IFMs. Analysing the factors involved in the probability of emission of low-energy photons, we argue that they do not yield meaningful contributions to the probabilities of the IFMs

    更新日期:2020-06-30
  • ”The Unavoidable Interaction Between the Object and the Measuring Instruments”: Reality, Probability, and Nonlocality in Quantum Physics
    Found. Phys. (IF 1.437) Pub Date : 2020-06-30
    Arkady Plotnitsky

    This article aims to contribute to the ongoing task of clarifying the relationships between reality, probability, and nonlocality in quantum physics. It is in part stimulated by Khrennikov’s argument, in several communications, for “eliminating the issue of quantum nonlocality” from the analysis of quantum entanglement. I argue, however, that the question may not be that of eliminating but instead

    更新日期:2020-06-30
  • The Connection between Bohmian Mechanics and Many-Particle Quantum Hydrodynamics
    Found. Phys. (IF 1.437) Pub Date : 2020-06-25
    Klaus Renziehausen, Ingo Barth

    Bohm developed the Bohmian mechanics (BM), in which the Schrödinger equation is transformed into two differential equations: a continuity equation and an equation of motion similar to the Newtonian equation of motion. This transformation can be executed both for single-particle systems and for many-particle systems. Later, Kuzmenkov and Maksimov used basic quantum mechanics for the derivation of many-particle

    更新日期:2020-06-26
  • Path Integrals and Holism
    Found. Phys. (IF 1.437) Pub Date : 2020-06-22
    Marco Forgione

    This paper argues that the path integral formulation of quantum mechanics suggests a form of holism for which the whole (total ensemble of paths) has properties that are not strongly reducible to the properties of the parts (the single trajectories). Feynman’s sum over histories calculates the probability amplitude of a particle moving within a boundary by summing over all the possible trajectories

    更新日期:2020-06-22
  • Semiclassical Analysis of the Interaction of the Magnetic Quadrupole Moment of a Neutral Particle with Axial Electric Fields in a Uniformly Rotating Frame
    Found. Phys. (IF 1.437) Pub Date : 2020-06-08
    S. L. R. Vieira, K. Bakke

    By exploring the hypothesis of magnetic monopoles, we consider the existence of electric fields produced by magnetic current densities. Then, we consider a uniformly rotating frame with the purpose of searching for effects of rotation on the interaction of axial electric fields with the magnetic quadrupole moment of a neutral particle. Our analysis is made through the WKB (Wentzel, Kramers and Brillouin)

    更新日期:2020-06-08
  • QBism Is Not So Simply Dismissed
    Found. Phys. (IF 1.437) Pub Date : 2020-05-19
    Ali Barzegar

    QBism is one of the main candidates for an epistemic interpretation of quantum mechanics. According to QBism, the quantum state or the wavefunction represents the subjective degrees of belief of the agent assigning the state. But, although the quantum state is not part of the furniture of the world, quantum mechanics grasps the real via the Born rule which is a consistency condition for the probability

    更新日期:2020-05-19
  • Quantum Causality Relations and the Emergence of Reality from Coherent Superpositions
    Found. Phys. (IF 1.437) Pub Date : 2020-05-18
    Holger F. Hofmann

    The Hilbert space formalism describes causality as a statistical relation between initial experimental conditions and final measurement outcomes, expressed by the inner products of state vectors representing these conditions. This representation of causality is in fundamental conflict with the classical notion that causality should be expressed in terms of the continuity of intermediate realities.

    更新日期:2020-05-18
  • From Path Integrals to Dynamical Algebras: A Macroscopic View of Quantum Physics
    Found. Phys. (IF 1.437) Pub Date : 2020-05-04
    Detlev Buchholz, Klaus Fredenhagen

    The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory and its invariance properties under variations of the action. These relations determine a dynamical algebra of bounded operators which encodes all properties of the corresponding

    更新日期:2020-05-04
  • Everett’s Missing Postulate and the Born Rule
    Found. Phys. (IF 1.437) Pub Date : 2020-04-26
    Per Arve

    Everett’s Relative State Interpretation has gained increasing interest due to the progress of understanding the role of decoherence. In order to fulfill its promise as a realistic description of the physical world, two postulates are formulated. In short they are (1) for a system with continuous coordinates \({\mathbf {x}}\), discrete variable j, and state \(\psi _j({\mathbf {x}})\), the density \(\rho

    更新日期:2020-04-26
  • Correction to: Gleason-Type Theorems from Cauchy’s Functional Equation
    Found. Phys. (IF 1.437) Pub Date : 2020-04-15
    Victoria J. Wright, Stefan Weigert

    The authors would like to make the corrections to the original article described below.

    更新日期:2020-04-23
  • Contextual Emergence of Physical Properties
    Found. Phys. (IF 1.437) Pub Date : 2020-02-18
    Robert C. Bishop, George F. R. Ellis

    Contextual emergence was originally proposed as an inter-level relation between different levels of description to describe an epistemic notion of emergence in physics. Here, we discuss the ontic extension of this relation to different domains or levels of physical reality using the properties of temperature and molecular shape (chirality) as detailed case studies. We emphasize the concepts of stability

    更新日期:2020-04-23
  • Unitary-Only Quantum Theory Cannot Consistently Describe the Use of Itself: On the Frauchiger–Renner Paradox
    Found. Phys. (IF 1.437) Pub Date : 2020-03-09
    R. E. Kastner

    The Frauchiger–Renner Paradox is an extension of paradoxes based on the “Problem of Measurement,” such as Schrödinger’s Cat and Wigner’s Friend. All these paradoxes stem from assuming that quantum theory has only unitary (linear) physical dynamics, and the attendant ambiguity about what counts as a ‘measurement’—i.e., the inability to account for the observation of determinate measurement outcomes

    更新日期:2020-04-23
  • Polarization of Vacuum Fluctuations: Source of the Vacuum Permittivity and Speed of Light
    Found. Phys. (IF 1.437) Pub Date : 2020-03-27
    G. B. Mainland, Bernard Mulligan

    There are two types of fluctuations in the quantum vacuum: type 1 vacuum fluctuations are on shell and can interact with matter in specific, limited ways that have observable consequences; type 2 vacuum fluctuations are off shell and cannot interact with matter. A photon will polarize a type 1, bound, charged lepton–antilepton vacuum fluctuation in much the same manner that it would polarize a dielectric

    更新日期:2020-04-23
  • The Doppler Effect and the Anisotropy of the Speed of Light
    Found. Phys. (IF 1.437) Pub Date : 2020-04-04
    Michał Drągowski, Marta Włodarczyk

    Fundamental incompatibility arises at the interface of quantum mechanics and the special theory of relativity with Einstein synchronization, in which simultaneity is not absolute. It has, however, been shown that a relativistic theory preserving absolute simultaneity allows to formulate Lorentz-covariant quantum theory, at a price of introducing a preferred frame of reference manifesting itself in

    更新日期:2020-04-23
  • Some Other “No Hole” Spacetimes Properties Are Unstable Too
    Found. Phys. (IF 1.437) Pub Date : 2020-03-14
    Juliusz Doboszewski

    Two interesting “no hole” spacetime properties (being epistemically hole free (g), not being future nakedly singular) are unstable in the fine topology.

    更新日期:2020-04-23
  • The Big Bang is a Coordinate Singularity for $$k = -1$$k=-1 Inflationary FLRW Spacetimes
    Found. Phys. (IF 1.437) Pub Date : 2020-03-02
    Eric Ling

    We show that the big bang is a coordinate singularity for a large class of \(k = -1\) inflationary FLRW spacetimes which we have dubbed ‘Milne-like.’ By introducing a new set of coordinates, the big bang appears as a past boundary of the universe where the metric is no longer degenerate—a result which has already been investigated in the context of vacuum decay (Coleman and De Luccia in Phys Rev D

    更新日期:2020-04-23
  • Copenhagen Interpretation Can Survive the Upgraded Schrödinger’s cat Gedankenexperiment
    Found. Phys. (IF 1.437) Pub Date : 2020-04-18
    Guang Ping He

    Recently, Frauchiger and Renner proposed a Gedankenexperiment, which was claimed to be able to prove that quantum theory cannot consistently describe the use of itself. Here we show that the conclusions of Frauchiger and Renner actually came from their incorrect description of some quantum states. With the correct description there will be no inconsistent results, no matter which quantum interpretation

    更新日期:2020-04-23
  • SICs: Some Explanations
    Found. Phys. (IF 1.437) Pub Date : 2020-04-09
    Ingemar Bengtsson

    The problem of constructing maximal equiangular tight frames or SICs was raised by Zauner in 1998. Four years ago it was realized that the problem is closely connected to a major open problem in number theory. We discuss why such a connection was perhaps to be expected, and give a simplified sketch of some developments that have taken place in the past 4 years. The aim, so far unfulfilled, is to prove

    更新日期:2020-04-23
  • The CHSH Test Can be Used for All Quantum-Describable Systems
    Found. Phys. (IF 1.437) Pub Date : 2020-04-08
    Pierre Uzan

    This paper shows that the Clauser–Horne–Shimony–Holt test of locality of correlations which was originally designed to be used with binary observables can actually be used for any couples of quantum-like bounded continuous observables, and then for any experimental situation describable within the mathematical framework of quantum theory.

    更新日期:2020-04-23
  • The Hole Argument Against Everything
    Found. Phys. (IF 1.437) Pub Date : 2019-05-03
    Joshua Norton

    The Hole Argument was originally formulated by Einstein and it haunted him as he struggled to understand the meaning of spacetime coordinates in the context of the diffeomorphism invariance of general relativity. This argument has since been put to philosophical use by Earman and Norton (Br J Philos Sci 515–525, 1987) to argue against a substantival conception of spacetime. In the present work I demonstrate

    更新日期:2020-04-23
  • The Hole Argument in Homotopy Type Theory
    Found. Phys. (IF 1.437) Pub Date : 2019-10-04
    James Ladyman, Stuart Presnell

    The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that

    更新日期:2020-04-23
  • General-Relativistic Covariance
    Found. Phys. (IF 1.437) Pub Date : 2019-05-04
    Neil Dewar

    This is an essay about general covariance, and what it says (or doesn’t say) about spacetime structure. After outlining a version of the dynamical approach to spacetime theories, and how it struggles to deal with generally covariant theories, I argue that we should think about the symmetry structure of spacetime rather differently in generally-covariant theories compared to non-generally-covariant

    更新日期:2020-04-23
  • The Hole Argument, take n
    Found. Phys. (IF 1.437) Pub Date : 2019-08-23
    John Dougherty

    I apply homotopy type theory (HoTT) to the hole argument as formulated by Earman and Norton. I argue that HoTT gives a precise sense in which diffeomorphism-related Lorentzian manifolds represent the same spacetime, undermining Earman and Norton’s verificationist dilemma and common formulations of the hole argument. However, adopting this account does not alleviate worries about determinism: general

    更新日期:2020-04-23
  • Confessions of a (Cheap) Sophisticated Substantivalist
    Found. Phys. (IF 1.437) Pub Date : 2018-12-05
    Carolyn Brighouse

    I illustrate a challenge to a view that is a response to the Hole Argument. The view, sophisticated substantivalism, has been claimed to be the received view. While sophisticated substantivalism has many defenders, there is a fundamental tension in the view that has not received the attention it deserves. Anyone who defends or endorses sophisticated substantivalism, should acknowledge this challenge

    更新日期:2020-04-23
  • New Perspectives on the Hole Argument
    Found. Phys. (IF 1.437) Pub Date : 2020-03-18
    Bryan W. Roberts, James Owen Weatherall

    This special issue of Foundations of Physics collects together articles representing some recent new perspectives on the hole argument in the history and philosophy of physics. Our task here is to introduce those new perspectives.

    更新日期:2020-04-23
  • Regarding ‘Leibniz Equivalence’
    Found. Phys. (IF 1.437) Pub Date : 2020-01-28
    Bryan W. Roberts

    Leibniz Equivalence is a principle of applied mathematics that is widely assumed in both general relativity textbooks and in the philosophical literature on Einstein’s hole argument. In this article, I clarify an ambiguity in the statement of this Leibniz Equivalence, and argue that the relevant expression of it for the hole argument is strictly false. I then show that the hole argument still succeeds

    更新日期:2020-04-23
  • On Representational Redundancy, Surplus Structure, and the Hole Argument
    Found. Phys. (IF 1.437) Pub Date : 2020-02-10
    Clara Bradley, James Owen Weatherall

    We address a recent proposal concerning ‘surplus structure’ due to Nguyen et al. (Br J Phi Sci, 2018). We argue that the sense of ‘surplus structure’ captured by their formal criterion is importantly different from—and in a sense, opposite to—another sense of ‘surplus structure’ used by philosophers. We argue that minimizing structure in one sense is generally incompatible with minimizing structure

    更新日期:2020-04-23
  • On Representational Capacities, with an Application to General Relativity
    Found. Phys. (IF 1.437) Pub Date : 2018-08-25
    Samuel C. Fletcher

    Recent work on the hole argument in general relativity by Weatherall (Br J Philos Sci 69(2):329–350, 2018) has drawn attention to the neglected concept of (mathematical) models’ representational capacities. I argue for several theses about the structure of these capacities, including that they should be understood not as many-to-one relations from models to the world, but in general as many-to-many

    更新日期:2020-04-23
  • Riccati Equations as a Scale-Relativistic Gateway to Quantum Mechanics
    Found. Phys. (IF 1.437) Pub Date : 2020-01-28
    Saeed Naif Turki Al-Rashid, Mohammed A. Z. Habeeb, Tugdual S. LeBohec

    Applying the resolution–scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Itô process driven by the solutions of a Riccati equation. We verify that the corresponding Fokker–Planck equation is solved for a probability density corresponding to the squared modulus of the solution of the Schrödinger

    更新日期:2020-04-23
  • On the Very Idea of Distant Correlations
    Found. Phys. (IF 1.437) Pub Date : 2020-02-14
    Márton Gömöri

    Contemporary debate over laws of nature centers around Humean supervenience, the thesis that everything supervenes on the distribution of non-nomic facts. The key ingredient of this thesis is the idea that nomic-like concepts—law, chance, causation, etc.—are expressible in terms of the regularities of non-nomic facts. Inherent to this idea is the tacit conviction that regularities, “constant conjunctions”

    更新日期:2020-02-14
  • A Modal Free Lunch
    Found. Phys. (IF 1.437) Pub Date : 2020-01-30
    Tim Maudlin

    The meaning and truth conditions for claims about physical modality and causation have been considered problematic since Hume’s empiricist critique. But the underlying semantic commitments that follow from Hume’s empiricism about ideas have long been abandoned by the philosophical community. Once the consequences of that abandonment are properly appreciated, the problems of physical modality and causal

    更新日期:2020-01-30
  • Determinism, Physical Possibility, and Laws of Nature
    Found. Phys. (IF 1.437) Pub Date : 2020-01-21
    Balázs Gyenis

    We call attention to different formulations of how physical laws relate to what is physically possible in the philosophical literature, and argue that it may be the case that determinism fails under one formulation but reigns under the other. Whether this is so depends on our view on the nature of laws, and may also depend on the inter-theoretical relationships among our best physical theories, or

    更新日期:2020-01-21
  • Axioms for the Boltzmann Distribution.
    Found. Phys. (IF 1.437) Pub Date : 2019-06-01
    Adam Brandenburger,Kai Steverson

    A fundamental postulate of statistical mechanics is that all microstates in an isolated system are equally probable. This postulate, which goes back to Boltzmann, has often been criticized for not having a clear physical foundation. In this note, we provide a derivation of the canonical (Boltzmann) distribution that avoids this postulate. In its place, we impose two axioms with physical interpretations

    更新日期:2019-11-01
  • Oracles and Query Lower Bounds in Generalised Probabilistic Theories.
    Found. Phys. (IF 1.437) Pub Date : 2018-11-06
    Howard Barnum,Ciarán M Lee,John H Selby

    We investigate the connection between interference and computational power within the operationally defined framework of generalised probabilistic theories. To compare the computational abilities of different theories within this framework we show that any theory satisfying four natural physical principles possess a well-defined oracle model. Indeed, we prove a subroutine theorem for oracles in such

    更新日期:2019-11-01
  • Pitowsky's Kolmogorovian Models and Super-determinism.
    Found. Phys. (IF 1.437) Pub Date : 2017-03-21
    Jakob Kellner

    In an attempt to demonstrate that local hidden variables are mathematically possible, Pitowsky constructed "spin-[Formula: see text] functions" and later "Kolmogorovian models", which employs a nonstandard notion of probability. We describe Pitowsky's analysis and argue (with the benefit of hindsight) that his notion of hidden variables is in fact just super-determinism (and accordingly physically

    更新日期:2019-11-01
  • Born-Jordan Quantization and the Equivalence of the Schrödinger and Heisenberg Pictures.
    Found. Phys. (IF 1.437) Pub Date : 2014-01-01
    Maurice A de Gosson

    The aim of the famous Born and Jordan 1925 paper was to put Heisenberg's matrix mechanics on a firm mathematical basis. Born and Jordan showed that if one wants to ensure energy conservation in Heisenberg's theory it is necessary and sufficient to quantize observables following a certain ordering rule. One apparently unnoticed consequence of this fact is that Schrödinger's wave mechanics cannot be

    更新日期:2019-11-01
  • Quantum Blobs.
    Found. Phys. (IF 1.437) Pub Date : 2013-01-01
    Maurice A de Gosson

    Quantum blobs are the smallest phase space units of phase space compatible with the uncertainty principle of quantum mechanics and having the symplectic group as group of symmetries. Quantum blobs are in a bijective correspondence with the squeezed coherent states from standard quantum mechanics, of which they are a phase space picture. This allows us to propose a substitute for phase space in quantum

    更新日期:2019-11-01
  • Generalised Manifolds as Basic Objects of General Relativity
    Found. Phys. (IF 1.437) Pub Date : 2019-08-28
    Joanna Luc

    In this paper non-Hausdorff manifolds as potential basic objects of General Relativity are investigated. One can distinguish four stages of identifying an appropriate mathematical structure to describe physical systems: kinematic, dynamical, physical reasonability, and empirical. The thesis of this paper is that in the context of General Relativity, non-Hausdorff manifolds pass the first two stages

    更新日期:2019-08-28
  • Intrinsic, Extrinsic, and the Constitutive A Priori
    Found. Phys. (IF 1.437) Pub Date : 2019-07-15
    László E. Szabó

    On the basis of what I call physico-formalist philosophy of mathematics, I will develop an amended account of the Kantian–Reichenbachian conception of constitutive a priori. It will be shown that the features (attributes, qualities, properties) attributed to a real object are not possessed by the object as a “thing-in-itself”; they require a physical theory by means of which these features are constituted

    更新日期:2019-07-15
  • On the Modal Aspects of Causal Sets
    Found. Phys. (IF 1.437) Pub Date : 2019-06-29
    Tomasz Placek

    The possibility question concerns the status of possibilities: do they form an irreducible category of the external reality, or are they merely features of our cognitive framework? If fundamental physics is ever to shed light on this issue, it must be done by some future theory that unifies insights of general relativity and quantum mechanics. The paper investigates one programme of this kind, namely

    更新日期:2019-06-29
  • Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism
    Found. Phys. (IF 1.437) Pub Date : 2019-06-14
    Thomas Müller

    In this paper we describe a novel approach to defining an ontologically fundamental notion of co-presentness that does not go against the tenets of relativity theory. We survey the possible reactions to the problem of the present in relativity theory, introducing a terminological distinction between a static role of the present, which is served by the relation of simultaneity, and a dynamic role of

    更新日期:2019-06-14
  • Which Worldlines Represent Possible Particle Histories?
    Found. Phys. (IF 1.437) Pub Date : 2019-05-14
    Samuel C. Fletcher

    Based on three common interpretive commitments in general relativity, I raise a conceptual problem for the usual identification, in that theory, of timelike curves as those that represent the possible histories of (test) particles in spacetime. This problem affords at least three different solutions, depending on different representational and ontological assumptions one makes about the nature of (test)

    更新日期:2019-05-14
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