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Stern–Gerlach, EPRB and Bell Inequalities: An Analysis Using the Quantum Hamilton Equations of Stochastic Mechanics Found. Phys. (IF 1.5) Pub Date : 2024-03-14 Michael Beyer, Wolfgang Paul
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Why the Global Phase is Not Real Found. Phys. (IF 1.5) Pub Date : 2024-03-05
Abstract In this paper, I present a new analysis of the meaning of the phase in quantum mechanics. First, I give a simple but rigorous proof that the global phase is not real in \(\psi\) -ontic quantum theories. Next, I argue that a similar strategy cannot be used to prove the reality of the global phase due to the existence of the tails of the wave function. Finally, I argue that the relative phase
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Reconstruction of f(R) Gravity from Cosmological Unified Dark Fluid Model Found. Phys. (IF 1.5) Pub Date : 2024-02-19
Abstract In this work, we reconstruct the cosmological unified dark fluid model proposed previously by Elkhateeb (Astrophys Space Sci 363(1):7, 2018) in the framework of f(R) gravity. Utilizing the equivalence between the scalar-tensor theory and the f(R) gravity theory, the scalar field for the dark fluid is obtained, whence the f(R) function is extracted and its viability is discussed. The f(R) functions
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Schrödinger Cats and Quantum Complementarity Found. Phys. (IF 1.5) Pub Date : 2024-01-25 Lorenzo Maccone
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Fundamental Units in Gravitational, Electromagnetic and Weak (Fermi) Interactions Found. Phys. (IF 1.5) Pub Date : 2024-01-22 M. Novello, V. Antunes
In analogy with Planck’s construction of fundamental quantities in gravitation, we construct fundamental quantities associated with (1) theories of electrodynamics in which the electromagnetic field has a maximum value (e.g. Born-Infeld theory), and (2) the Fermi interaction. This gives us a maximum intensity of the electromagnetic field, and also reveals a close relationship between the fundamental
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Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation Found. Phys. (IF 1.5) Pub Date : 2024-01-19
Abstract We study the non-relativistic (NR) limit of relativistic spacetimes in relation with the topology of the Universe. We first show that the NR limit of the Einstein equation is only possible in Euclidean topologies, i.e., for which the covering space is \(\mathbb {E}^3\) . We interpret this result as an inconsistency of general relativity in non-Euclidean topologies and propose a modification
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On the Reality of the Quantum State Once Again: A No-Go Theorem for $$\psi$$ -Ontic Models Found. Phys. (IF 1.5) Pub Date : 2024-01-11 Gabriele Carcassi, Andrea Oldofredi, Christine A. Aidala
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What Does ‘(Non)-absoluteness of Observed Events’ Mean? Found. Phys. (IF 1.5) Pub Date : 2024-01-10 Emily Adlam
Recently there have emerged an assortment of theorems relating to the ‘absoluteness of emerged events,’ and these results have sometimes been used to argue that quantum mechanics may involve some kind of metaphysically radical non-absoluteness, such as relationalism or perspectivalism. However, in our view a close examination of these theorems fails to convincingly support such possibilities. In this
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Decoherence as a High-Dimensional Geometrical Phenomenon Found. Phys. (IF 1.5) Pub Date : 2023-12-27 Antoine Soulas
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A Set-Theoretic Analysis of the Black Hole Entropy Puzzle Found. Phys. (IF 1.5) Pub Date : 2023-12-21 Gábor Etesi
Motivated by the known mathematical and physical problems arising from the current mathematical formalization of the physical spatio-temporal continuum, as a substantial technical clarification of our earlier attempt (Etesi in Found Sci 25:327–340, 2020), the aim in this paper is twofold. Firstly, by interpreting Chaitin’s variant of Gödel’s first incompleteness theorem as an inherent uncertainty or
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Non-symmetric Transition Probability in Generalized Qubit Models Found. Phys. (IF 1.5) Pub Date : 2023-12-19 Gerd Niestegge
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Is the Universe in a Mixed State? Found. Phys. (IF 1.5) Pub Date : 2023-12-17 Shan Gao
Quantum mechanics with a fundamental density matrix has been proposed and discussed recently. Moreover, it has been conjectured that the universe is not in a pure state but in a mixed state in this theory. In this paper, I argue that this mixed state conjecture has two main problems: the redundancy problem and the underdetermination problem, which are lacking in quantum mechanics with a definite initial
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Modeling the Past Hypothesis: A Mechanical Cosmology Found. Phys. (IF 1.5) Pub Date : 2023-12-19 Jordan Scharnhorst, Anthony Aguirre
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Some Remarks on Recent Formalist Responses to the Hole Argument Found. Phys. (IF 1.5) Pub Date : 2023-12-11 Tushar Menon, James Read
In a recent article, Halvorson and Manchak (Br J Philos Sci, Forthcoming) claim that there is no basis for the Hole Argument, because (in a certain sense) hole isometries are unique. This raises two important questions: (a) does their argument succeed?; (b) how does this formalist response to the Hole Argument relate to other recent responses to the Hole Argument in the same tradition—in particular
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A Critical Analysis of ‘Relative Facts Do Not Exist: Relational Quantum Mechanics Is Incompatible with Quantum Mechanics’ by Jay Lawrence, Marcin Markiewicz and Marek Źukowski Found. Phys. (IF 1.5) Pub Date : 2023-12-11 Aurélien Drezet
We discuss a recent work by J. Lawrence et al. [arxiv.org/abs/2208.11793] criticizing relational quantum mechanics (RQM) and based on a famous nonlocality theorem Going back to Greenberger Horne and Zeilinger (GHZ). Here, we show that the claims presented in this recent work are unjustified and we debunk the analysis.
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A Proposal for a New Kind of Spontaneous Collapse Model Found. Phys. (IF 1.5) Pub Date : 2023-12-05 Nicolò Piccione
Spontaneous collapse models are modifications of standard quantum mechanics in which a physical mechanism is responsible for the collapse of the wavefunction, thus providing a way to solve the so-called “measurement problem”. The two most famous of these models are the Ghirardi–Rimini–Weber (GRW) model and the Continuous Spontaneous Localisation (CSL) models. Here, we propose a new kind of non-relativistic
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An Alternative Foundation of Quantum Theory Found. Phys. (IF 1.5) Pub Date : 2023-12-05 Inge S. Helland
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On the Quasi-Separability of Atoms and Molecules Found. Phys. (IF 1.5) Pub Date : 2023-12-05 Alejandro López-Castillo
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Life, the Multiverse, and Fine-Tuning Found. Phys. (IF 1.5) Pub Date : 2023-11-16 Phillip Helbig
Few topics in cosmology are as hotly debated as the Multiverse: for some it is untestable and hence unscientific; for others it is unavoidable and a natural extension of previous science. A third position is that it is seen to follow from other theories, but those other theories might themselves be seen as too speculative. The idea of fine-tuning has a similar status. Some of this disagreement might
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Evading Quantum Mechanics à la Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics Found. Phys. (IF 1.5) Pub Date : 2023-11-16 Zurab K. Silagadze
Tsang and Caves suggested the idea of a quantum-mechanics-free subsystem in 2012. We contend that Sudarshan’s viewpoint on Koopman-von Neumann mechanics is realized in the quantum-mechanics-free subsystem. Since quantum-mechanics-free subsystems are being experimentally realized, Koopman-von Neumann mechanics is essentially transformed into an engineering science.
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Can the Ontology of Bohmian Mechanics Consists Only in Particles? The PBR Theorem Says No Found. Phys. (IF 1.5) Pub Date : 2023-11-06 Shan Gao
The meaning of the wave function is an important unresolved issue in Bohmian mechanics. On the one hand, according to the nomological view, the wave function of the universe or the universal wave function is nomological, like a law of nature. On the other hand, the PBR theorem proves that the wave function in quantum mechanics or the effective wave function in Bohmian mechanics is ontic, representing
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Completely Discretized, Finite Quantum Mechanics Found. Phys. (IF 1.5) Pub Date : 2023-11-06 Sean M. Carroll
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Relaxation to Quantum Equilibrium and the Born Rule in Nelson’s Stochastic Dynamics Found. Phys. (IF 1.5) Pub Date : 2023-11-06 Vincent Hardel, Paul-Antoine Hervieux, Giovanni Manfredi
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Quantum and Relativistic Corrections to Maxwell–Boltzmann Ideal Gas Model from a Quantum Phase Space Approach Found. Phys. (IF 1.5) Pub Date : 2023-10-03 Rivo Herivola Manjakamanana Ravelonjato, Ravo Tokiniaina Ranaivoson, Raoelina Andriambololona, Roland Raboanary, Hanitriarivo Rakotoson, Naivo Rabesiranana
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
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Is Superluminal Signaling Possible in Collapse Theories of Quantum Mechanics? Found. Phys. (IF 1.5) Pub Date : 2023-09-23 Shan Gao
It is a received view that superluminal signaling is prohibited in collapse theories of quantum mechanics. In this paper, I argue that this may be not the case. I propose two possible mechanisms of superluminal signaling in collapse theories. The first one is based on the well-accepted solution to the tails problem, and the second one is based on certain assumptions about the minds of observers. Finally
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Calculation of Dark Matter as a Feature of Space–Time Found. Phys. (IF 1.5) Pub Date : 2023-09-23 Peter H. Handel, Klara E. Splett
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Arrow of Time and Quantum Physics Found. Phys. (IF 1.5) Pub Date : 2023-09-21 Detlev Buchholz, Klaus Fredenhagen
Based on the hypothesis that the (non-reversible) arrow of time is intrinsic in any system, no matter how small, the consequences are discussed. Within the framework of local quantum physics it is shown how such a semi-group action of time can consistently be extended to that of the group of spacetime translations in Minkowski space. In presence of massless excitations, however, there arise ambiguities
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Entanglement of Observables: Quantum Conditional Probability Approach Found. Phys. (IF 1.5) Pub Date : 2023-09-15 Andrei Khrennikov, Irina Basieva
This paper is devoted to clarification of the notion of entanglement through decoupling it from the tensor product structure and treating as a constraint posed by probabilistic dependence of quantum observable A and B. In our framework, it is meaningless to speak about entanglement without pointing to the fixed observables A and B, so this is AB-entanglement. Dependence of quantum observables is formalized
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Synchronization and Fundamental Time: A Connection Between Relativity and Quantum Mechanics Found. Phys. (IF 1.5) Pub Date : 2023-09-15 Matteo Luca Ruggiero
An interesting connection between special relativity and quantum mechanics was put forward by Louis de Broglie, about 60 years ago, who focused on the link between synchronization in a rotating frame and the quantization of the angular momentum. Here we generalise his approach to curved spacetime, using the gravitoelectromagnetic analogy, which can be applied to describe the weak gravitational field
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The Non-vanishing Imprint of Gravitational Waves as the Result of Its Nonlinear Evolution in Space Found. Phys. (IF 1.5) Pub Date : 2023-09-05 Ioseph Gurwich
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Is the Electron Magnetic Moment Unique? Found. Phys. (IF 1.5) Pub Date : 2023-09-02 V. A. Golovko
There exist two methods for finding the magnetic moment of the electron. The first method employed in quantum electrodynamics consists in calculating the energy of the electron placed in a constant magnetic field, the extra energy due to the field being proportional to the magnetic moment. It is also possible to use the second method proceeding from the fact that the asymptotic form of the vector potential
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Emergent Phenomena in Nature: A Paradox with Theory? Found. Phys. (IF 1.5) Pub Date : 2023-08-25 Christiaan J. F. van de Ven
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Electron Wave Trajectories Within Schrodinger’s Hydrogen Atom, and Relativistic Consequences Found. Phys. (IF 1.5) Pub Date : 2023-08-26 Leslie Smith
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Mathematical Models of Photons Found. Phys. (IF 1.5) Pub Date : 2023-08-17 Imants Bersons, Rita Veilande, Ojars Balcers
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On Efforts to Decouple Early Universe Cosmology and Quantum Gravity Phenomenology Found. Phys. (IF 1.5) Pub Date : 2023-08-14 Mike D. Schneider
The Big Bang singularity in standard model cosmology suggests a program of study in ‘early universe’ quantum gravity phenomenology. Inflation is usually thought to undermine this program’s prospects by means of a dynamical diluting argument, but such a view has recently been disputed within inflationary cosmology, in the form of a ‘trans-Planckian censorship’ conjecture. Meanwhile, trans-Planckian
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On the Boundary of the Cosmos Found. Phys. (IF 1.5) Pub Date : 2023-08-12 Daniel Linford
Intuitively, the totality of physical reality—the Cosmos—has a beginning only if (i) all parts of the Cosmos agree on the direction of time (the Direction Condition) and (ii) there is a boundary to the past of all non-initial spacetime points such that there are no spacetime points to the past of the boundary (the Boundary Condition). Following a distinction previously introduced by J. Brian Pitts
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Quantum Entanglement: An Analysis via the Orthogonality Relation Found. Phys. (IF 1.5) Pub Date : 2023-08-07 Shengyang Zhong
In the literature there has been evidence that a kind of relational structure called a quantum Kripke frame captures the essential characteristics of the orthogonality relation between pure states of quantum systems, and thus is a good qualitative mathematical model of quantum systems. This paper adds another piece of evidence by providing a tensor-product construction of two finite-dimensional quantum
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Black Hole Entropy from Non-dirichlet Sectors, and a Bounce Solution Found. Phys. (IF 1.5) Pub Date : 2023-08-05 I. Y. Park
The relevance of gravitational boundary degrees of freedom and their dynamics in gravity quantization and black hole information has been explored in a series of recent works. In this work we further progress by focusing keenly on the genuine gravitational boundary degrees of freedom as the origin of black hole entropy. Wald’s entropy formula is scrutinized, and the reason that Wald’s formula correctly
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A Time-Symmetric Soliton Dynamics à la de Broglie Found. Phys. (IF 1.5) Pub Date : 2023-08-04 Aurélien Drezet
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New Insights on the Quantum-Classical Division in Light of Collapse Models Found. Phys. (IF 1.5) Pub Date : 2023-08-04 Fernanda Torres, Sujoy K. Modak, Alfredo Aranda
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Classical Electromagnetic Interaction of a Charge with a Solenoid or Toroid Found. Phys. (IF 1.5) Pub Date : 2023-08-02 Timothy H. Boyer
The Aharonov–Bohm phase shift in a particle interference pattern when electrons pass a long solenoid is identical in form with the optical interference pattern shift when a piece of retarding glass is introduced into one path of a two-beam optical interference pattern. The particle interference-pattern deflection is a relativistic effect of order \(1/c^{2}\), though this relativity aspect is rarely
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On the Continuum Fallacy: Is Temperature a Continuous Function? Found. Phys. (IF 1.5) Pub Date : 2023-07-30 Aditya Jha, Douglas Campbell, Clemency Montelle, Phillip L. Wilson
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Objective Collapse Induced by a Macroscopic Object Found. Phys. (IF 1.5) Pub Date : 2023-07-18 Arnab Acharya, Pratik Jeware, Soumitro Banerjee
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Evolution via Projection Found. Phys. (IF 1.5) Pub Date : 2023-07-17 Mahendra Joshi
The conditional probability interpretation of quantum gravity has been criticized for violating the constraints of the theory and also not giving the correct expression for the propagator. We have shown that following Page’s proposal of constructing an appropriate projector for the stationary state of a closed system, we can arrive at the correct expression for the propagator by using conditional probability
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On the Nonreality of the PBR Theorem Found. Phys. (IF 1.5) Pub Date : 2023-06-25 Marcoen J. T. F. Cabbolet
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Quantum Prey–Predator Dynamics: A Gaussian Ensemble Analysis Found. Phys. (IF 1.5) Pub Date : 2023-06-15 A. E. Bernardini, O. Bertolami
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On the Cardinality of Future Worldlines in Discrete Spacetime Structures Found. Phys. (IF 1.5) Pub Date : 2023-06-06 Ahmet Çevik, Zeki Seskir
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On the Representations of Bell’s Operators in Quantum Mechanics Found. Phys. (IF 1.5) Pub Date : 2023-05-27 S. P. Sorella
We point out that, when the dimension of the Hilbert space is greater than two, Bell’s operators entering the Bell-CHSH inequality do exhibit inequivalent unitary matrix representations. Although the Bell-CHSH inequality turns out to be violated, the size of the violation is different for different representations, the maximum violation being given by Tsirelson’s bound. The feature relies on a pairing
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Information-Theoretic Interpretation of Quantum Formalism Found. Phys. (IF 1.5) Pub Date : 2023-05-21 Michel Feldmann
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Neo-classical Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Dipole Moments, Wavefunctions and Dirac’s Wave Equation Found. Phys. (IF 1.5) Pub Date : 2023-05-16 James L. Beck
In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time path as a point particle. The fourth-order equation of motion corresponds to the same covariant Lagrangian function in proper time as in special relativity except for an additional spin energy term. The theory provides a hidden-variable model of the electron
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The Position-Momentum Commutator as a Generalized Function: Resolution of the Apparent Discrepancy Between Continuous and Discrete Bases Found. Phys. (IF 1.5) Pub Date : 2023-05-16 Timothy B. Boykin
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The Lorentz Transformation in a Fishbowl: A Comment on Cheng and Read’s “Why Not a Sound Postulate?” Found. Phys. (IF 1.5) Pub Date : 2023-05-12 Daniel Shanahan
In support of their contention that it is the absence of a subsisting medium that imbues the speed of light with fundamentality, Bryan Cheng and James Read discuss certain “fishbowl universes” in which physical influences evolve, not at the speed of light, but that of sound. The Lorentz transformation simulated in these sonic universes, which the authors cite from the literature of analogue gravity
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Dirac Theory in Hydrodynamic Form Found. Phys. (IF 1.5) Pub Date : 2023-05-12 Luca Fabbri
We consider quantum mechanics written in hydrodynamic formulation for the case of relativistic spinor fields to study their velocity: within such a hydrodynamic formulation it is possible to see that the velocity as is usually defined can not actually represent the tangent vector to the trajectories of particles. We propose an alternative definition for this tangent vector and hence for the trajectories
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Infrared Acceleration Radiation Found. Phys. (IF 1.5) Pub Date : 2023-05-09 Michael R. R. Good, Paul C. W. Davies