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We show that the principles of a ''complete physical theory'' and the conclusions of the standard quantum mechanics do not irreconcilably contradict each other as is commonly believed. In the algebraic approach, we formulate axioms that…

Quantum Physics · Physics 2007-05-23 D. A. Slavnov

Supersymmetry between bosons and fermions is modeled within PT- symmetric quantum mechanics. A non-Hermitian alternative to the Witten's supersymmetric quantum mechanics is obtained.

High Energy Physics - Phenomenology · Physics 2011-09-07 Miloslav Znojil

It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality,…

Quantum Physics · Physics 2012-06-19 Huw Price

Mach's principle asserts that the inertial mass of a body is related to the distribution of other distant bodies. This means that in the absence of other bodies, a single body has no mass. In this case, talking about motion is not possible,…

Quantum Physics · Physics 2018-10-30 Faramarz Rahmani , Mehdi Golshani

Update: A time-independent $n\times n$ PT-symmetric (and symmetric) Hamiltonian is diagonalizable since it has all distinct real eigenvalues and the resulting diagonal matrix is a real symmetric matrix. The diagonalization results an…

Quantum Physics · Physics 2014-05-20 Sungwook Lee , Lawrence R. Mead

There is a certainty that the modern (Copenhagen's) interpretation of quantum mechanics is correct. However, the some physicist had the opinion that the modern quantum mechanics is a phenomenological theory. The suggested theory is the new…

Quantum Physics · Physics 2007-05-23 Alexander G. Kyriakos

We elaborate on the existing notion that quantum mechanics is an emergent phenomenon, by presenting a thermodynamical theory that is dual to quantum mechanics. This dual theory is that of classical irreversible thermodynamics. The linear…

Quantum Physics · Physics 2013-11-21 P. Fernandez de Cordoba , J. M. Isidro , Milton H. Perea , J. Vazquez Molina

The aim of this work is to review the concepts of time in quantum mechanics and general relativity to show their incompatibility. We show that the absolute character of Newtonian time is present in quantum mechanics and also partially in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alfredo Macias , Hernando Quevedo

We compare two different approaches to the treatment of the Wheeler-DeWitt equation and the introduction of time in quantum cosmology. One approach is based on the gauge-fixing procedure in theories with first-class constraints, while the…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Alexander Yu. Kamenshchik , Alessandro Tronconi , Tereza Vardanyan , Giovanni Venturi

Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good…

Quantum Physics · Physics 2016-03-11 Davide Romano

In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics of this approach to the Bohmian mechanics. In…

Quantum Physics · Physics 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

In this work we analyze recent proposals by Das and D\"{u}rr (DD) to measure the arrival time distributions of quantum particles within the framework of de Broglie Bohm theory (or Bohmian mechanics). We also analyze the criticisms made by…

Quantum Physics · Physics 2024-09-17 Aurélien Drezet

There are several important philosophical problems to which quantum mechanics is often said to have made significant contributions: - Determinism: quantum theory has been taken to refute determinism; -Free Will: in turn, this is thought to…

Quantum Physics · Physics 2025-10-29 Valia Allori

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable…

Quantum Physics · Physics 2026-02-05 Eric Tesse

Five physical assumptions are proposed that together entail the general qualitative results, including the Born rule, of non-relativistic quantum mechanics by physical and information-theoretic reasoning alone. Two of these assumptions…

Quantum Physics · Physics 2011-02-04 Chris Fields

Quantum mechanics (QM) clearly violates Newton's First Law of Motion (NFLM) in the quantum domain for one of the simplest problems, yielding an effect in a force-free region much like the Aharonov-Bohm effect. In addition, there is an…

General Physics · Physics 2008-04-11 Mario Rabinowitz

Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter…

Quantum Physics · Physics 2008-11-26 Valia Allori , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

With reference to primary sources it is shown that key claims made regarding the history of the pilot wave theory in Quantum Theory at the Crossroads are not supported by the historical record. It is also argued that the association of de…

History and Philosophy of Physics · Physics 2015-06-22 Peter Holland

The aim of this article is to discuss the preferred basis problem in relational quantum mechanics (RQM). The issue is at the heart of quantum mechanics and we first show that the mathematical formalism of RQM is immune to recent critics…

Quantum Physics · Physics 2023-02-22 Aurélien Drezet

We outline how Bohmian mechanics works: how it deals with various issues in the foundations of quantum mechanics and how it is related to the usual quantum formalism. We then turn to some objections to Bohmian mechanics, for example the…

Quantum Physics · Physics 2007-05-23 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı