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This paper proposes an interpretation of quantum mechanics, relying on the time-symmetric stochastic dynamics of quantum particles and on non-classical probability theory. Our main purpose is to demonstrate that the wave function and its…

Quantum Physics · Physics 2026-05-29 Charalampos Antonakos

How would the world appear to us if its ontology was that of classical mechanics but every agent faced a restriction on how much they could come to know about the classical state? We show that in most respects, it would appear to us as…

Quantum Physics · Physics 2012-07-12 Stephen D. Bartlett , Terry Rudolph , Robert W. Spekkens

A new formulation of quantum mechanics is proposed based on a new principle that can be considered a generalization of the Born rule. The principle is composed of a mathematical expression and an associated interpretation, and establishes a…

Quantum Physics · Physics 2008-10-31 Bruno Galvan

It is now widely accepted that environmental entanglement and the resulting decoherence processes play a crucial role in the quantum-to-classical transition and the emergence of "classicality" from quantum mechanics. To this extent,…

Quantum Physics · Physics 2008-04-11 Maximilian Schlosshauer , Kristian Camilleri

Quantum mechanics marks a radical departure from the classical understanding of Nature, fostering an inherent randomness which forbids a deterministic description; yet the most fundamental departure arises from something different. As shown…

Spekkens has introduced an epistemically restricted classical theory of discrete systems, based on discrete phase space. The theory manifests a number of quantum-like properties but cannot fully imitate quantum theory because it is…

Quantum Physics · Physics 2022-03-09 William F. Braasch , William K. Wootters

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

Statistical Mechanics · Physics 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

Some of the so-called imponderables and counterintuitive puzzles associated with the Copenhagen interpretation of quantum mechanics appear to have alternate, parallel explanations in terms of nonlinear dynamics and chaos. These include the…

Quantum Physics · Physics 2007-05-23 Wm. C. McHarris

We describe a general procedure for associating a minimal informationally-complete quantum measurement (or MIC) and a set of linearly independent post-measurement quantum states with a purely probabilistic representation of the Born Rule.…

Quantum Physics · Physics 2023-12-19 John B. DeBrota , Christopher A. Fuchs , Blake C. Stacey

The special relativity laws emerge as one-parameter (light speed) generalizations of the corresponding laws of classical physics. These generalizations, imposed by the Lorentz transformations, affect both the definition of the various…

Statistical Mechanics · Physics 2009-11-11 G. Kaniadakis

Emergence of the classical world from the quantum substrate of our Universe is a long-standing conundrum. I describe three insights into the transition from quantum to classical that are based on the recognition of the role of the…

Quantum Physics · Physics 2018-07-11 Wojciech Hubert Zurek

Computationalism provides a framework for understanding how a mathematically describable physical world could give rise to conscious observations without the need for dualism. A criterion is proposed for the implementation of computations…

Quantum Physics · Physics 2007-09-06 Jacques Mallah

Is the dynamical evolution of physical systems objectively a manifestation of information processing by the universe? We find that an affirmative answer has important consequences for the measurement problem. In particular, we calculate the…

Quantum Physics · Physics 2007-05-23 R. Srikanth

A pedagogical introduction is given to the quantum mechanics of closed systems, most generally the universe as a whole. Quantum mechanics aims at predicting the probabilities of alternative coarse-grained time histories of a closed system.…

General Relativity and Quantum Cosmology · Physics 2014-01-15 James B. Hartle

The conflict between the determinism of geometry in general relativity and the essential statistics of quantum mechanics blocks the development of a unified theory. Electromagnetic radiation is essential to both fields and supplies a common…

Quantum Physics · Physics 2015-01-30 Daniel C. Galehouse

About twenty years ago, we proposed the mathematical formulation of Heisenberg's uncertainty principle, and further, we concluded that Heisenberg's uncertainty principle and EPR-paradox are not contradictory. This is true, however we now…

History and Philosophy of Physics · Physics 2012-04-19 Shiro Ishikawa

A concise review of the derivation of the Born rule and Schr\"odinger equation from first principles is provided. The starting point is a formalization of fundamental notions of measurement and composition, leading to a general framework…

Quantum Physics · Physics 2019-11-13 Robert Oeckl

When a conscious observer is part of a quantum mechanical system, rule (4) cuts off solutions to the Schrodinger equation. It is important to show that this interruption of the Hamiltonian dynamics does not effect the statistical…

Quantum Physics · Physics 2007-05-23 Richard A Mould

We present a panoramic view on various attempts to "solve" the problems of quantum measurement and macro-objectivation, i.e. of the transition from a probabilistic quantum mechanic microscopic world to a deterministic classical macroscopic…

Quantum Physics · Physics 2010-05-05 M. Genovese

We present critical arguments against individual interpretation of Bohr's complementarity and Heisenberg's uncertainty principles. Statistical interpretation of these principles is discussed in the contextual framework. We support the…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov