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An assessment is given as to the extent to which pure unitary evolution, as distinct from environmental decohering interaction, can provide the transition necessary for an observer to interpret perceived quantum dynamics as classical. This…

Quantum Physics · Physics 2021-10-05 John S. Briggs

We re-use some original ideas of de~Broglie, Schr\"odiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum…

Quantum Physics · Physics 2025-04-25 Vladimir V. Kisil

I show explicitly how concerns about wave function collapse and ontology can be decoupled from the bulk of technical analysis necessary to recover localized, approximately Newtonian trajectories from quantum theory. In doing so, I…

Quantum Physics · Physics 2015-11-23 Joshua Rosaler

Trajectory-based approaches to quantum mechanics include the de Broglie-Bohm interpretation and Nelson's stochastic interpretation. It is shown that the usual route to establishing the validity of such interpretations, via a decomposition…

Quantum Physics · Physics 2009-11-10 Michael J. W. Hall

The ontological status of the quantum wavefunction remains one of the most debated questions in quantum theory. While epistemic interpretations regard the wavefunction as a reflection of our knowledge or beliefs, ontic interpretations treat…

Quantum Physics · Physics 2025-07-22 Bachtiar Rifai , Dwi Satya Palupi , Muhammad Farchani Rosyid

Wallstrom has argued that quantum interpretations which construct the wave function starting from Madelung variables $\psi(q)=\rho(q)\exp(\frac{i}{\hbar}S(q))$, in particular, many variants of Nelsonian stochastics, are not equivalent to…

Quantum Physics · Physics 2019-05-09 Ilja Schmelzer

The quantum trajectories in the de Broglie-Bohm formulation of quantum mechanics depend on an additional quantum potential derived from the full wave solution of Schr\"odinger's equation. The task of supplying collectively all the correct…

Quantum Physics · Physics 2026-03-12 Alfredo M. Ozorio de Almeida

All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a…

Quantum Physics · Physics 2014-11-18 H. Nikolic

It is shown that quantum mechanics is a plausible statistical description of an ontology described by classical electrodynamics. The reason that no contradiction arises with various no-go theorems regarding the compatibility of QM with a…

Quantum Physics · Physics 2019-12-24 Yehonatan Knoll

A serious objection made by Wallstrom against quantum interpretations based flow variables, in particular Nelsonian stochastics, is their empirical inequivalence with quantum theory: They are unable to obtain a quantization condition for…

Quantum Physics · Physics 2011-04-19 I. Schmelzer

The basic premise of Quantum Mechanics, embodied in the doctrine of wave-particle duality, assigns both, a particle and a wave structure to the physical entities. The classical laws describing the motion of a particle and the evolution of a…

Quantum Physics · Physics 2007-05-23 S. R. Vatsya

This paper presents a new approach to phase space trajectories in quantum mechanics. A Moyal description of quantum theory is used, where observables and states are treated as classical functions on a classical phase space. A quantum…

Mathematical Physics · Physics 2015-06-11 Maciej Blaszak , Ziemowit Domanski

I show that probabilities in quantum mechanics are a measure of belief in the presence of human ignorance, just like all other probabilities. The Born interpretation of the square of modulus of the wave function arises from the interaction…

Quantum Physics · Physics 2007-05-23 Frank J. Tipler

One attractive interpretation of quantum mechanics is the ensemble interpretation, where Quantum Mechanics merely describes a statistical ensemble of objects and not individual objects. But this interpretation does not address why the…

Quantum Physics · Physics 2021-05-18 Leonardo Pedro

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

We investigate the meaning of the wave function by analyzing the mass and charge density distribution of a quantum system. According to protective measurement, a charged quantum system has mass and charge density proportional to the modulus…

General Physics · Physics 2011-08-08 Shan Gao

Historically, appearance of the quantum theory led to a prevailing view that Nature is indeterministic. The arguments for the indeterminism and proposals for indeterministic and deterministic approaches are reviewed. These include collapse…

Quantum Physics · Physics 2014-07-08 Lev Vaidman

In this work celebrating the centenary of quantum mechanics, we review the principles of de Broglie Bohm theory, also known as pilot-wave theory and Bohmian mechanics. We assess the most common reading of it (the Nomological interpretation…

Quantum Physics · Physics 2025-03-19 Aurélien Drezet , Arnaud Amblard

It is proved the mathematical theorem, that the wave function describes the statistical ensemble of particles, but not a single particle. Supposition, that the wave function describes a single particle appears to be incompatible with…

General Physics · Physics 2007-05-23 Yuri Rylov

The Copenhagen interpretation of quantum mechanics assumes the existence of the classical deterministic Newtonian world. We argue that in fact the Newton determinism in classical world does not hold and in classical mechanics there is…

Quantum Physics · Physics 2015-05-14 Igor V. Volovich
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