Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Foundations of Physics

Description of many separated physical entities without the paradoxes encountered in quantum mechanics

Dirk Aerts

Published Dec 1, 1982• 173 citations
Publisher
DOI
10.1007/bf00729621

Related papers

Description of many physical entities without the paradoxes encountered in quantum mechanics

Diederik Aerts

•Jan 1, 1982•81 citations

The Description of Joint Quantum Entities and the Formulation of a Paradox

Diederik Aerts

arXiv:quant-ph/0105106•International Journal of Theoretical Physics•Mar 1, 2000•19 citations

Classical Physical Entities with a Quantum Description

Bob Coecke, Bart D’Hooghe, Frank Valckenborgh

Springer eBooks•Jan 1, 1997•4 citations

The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities

Diederik Aerts, Frank Valckenborgh

We consider the situation of a physical entity that is the compound entity consisting of two ‘separated ’ quantum entities. In earlier work it has been proved by one of the authors that such a physical entity cannot be described by standard quantum mechanics. More precisely, it was shown that two of the axioms of traditional quantum axiomatics are at the origin of the impossibility for standard quantum mechanics to describe this type of compound entity. One of these axioms is equivalent with the superposition principle, which means that separated quantum entities put the linearity of quantum mechanics at stake. We analyze the conceptual steps that are involved in this proof, and expose the necessary material of quantum axiomatics to be able to understand the argument. 1

•Jan 1, 2002•9 citations

The Kinematic Phase Transition: Deriving Wave-Particle Duality from the Fractal Density Constant ()

Enkhamgalan Nasanjargal

For nearly a century, the standard formulation of quantum mechanics has relied upon the probabilistic interpretation of physical states, fundamentally utilizing the wavefunction () to describe the position, momentum, and state of sub-atomic entities as a distribution of statistical likelihoods. The Copenhagen interpretation, which posits that physical systems do not possess definite properties prior to measurement, has served as the operational foundation of modern quantum physics. However, this stochastic abstraction has persistently generated profound epistemological and physical paradoxes, most notably the unresolved nature of wavefunction collapse and the mathematical friction encountered when attempting to unify quantum mechanics with the deterministic, continuous manifold of general relativity.

•Mar 25, 2026•0 citations

Description of isolated macroscopic systems inside quantum mechanics

L. Lanz, O. Melsheimer, Bassano Vacchini

arXiv:quant-ph/9910042•Reports on Mathematical Physics•Aug 1, 2000•6 citations
We consider the situation of a physical entity that is the compound entity consisting of two ‘separated ’ quantum entities. In earlier work it has been proved by one of the authors that such a physical entity cannot be described by standard quantum mechanics. More precisely, it was shown that two of the axioms of traditional quantum axiomatics are at the origin of the impossibility for standard quantum mechanics to describe this type of compound entity. One of these axioms is equivalent with the superposition principle, which means that separated quantum entities put the linearity of quantum mechanics at stake. We analyze the conceptual steps that are involved in this proof, and expose the necessary material of quantum axiomatics to be able to understand the argument. 1
For nearly a century, the standard formulation of quantum mechanics has relied upon the probabilistic interpretation of physical states, fundamentally utilizing the wavefunction () to describe the position, momentum, and state of sub-atomic entities as a distribution of statistical likelihoods. The Copenhagen interpretation, which posits that physical systems do not possess definite properties prior to measurement, has served as the operational foundation of modern quantum physics. However, this stochastic abstraction has persistently generated profound epistemological and physical paradoxes, most notably the unresolved nature of wavefunction collapse and the mathematical friction encountered when attempting to unify quantum mechanics with the deterministic, continuous manifold of general relativity.