A Time-(Anti)symmetric Approach to the Double Solution Theory

In this work, we present a new theoretical approach to interpreting and reproducing quantum mechanics using trajectory-guided wavelets. Inspired by the 1925 work of Louis de Broglie, we demonstrate that pulses composed of a difference between a delayed wave and an advanced wave (known as antisymmetric waves) are capable of following quantum trajectories predicted by the de Broglie–Bohm theory (also known as Bohmian mechanics). Our theory reproduces the main results of orthodox quantum mechanics and unlike Bohmian theory, is local in the Bell sense. We show that this is linked to the superdeterminism and past–future (anti)symmetry of our theory.

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Publication Details

Journal
Foundations
Published
2024-12-25
DOI
https://doi.org/10.3390/foundations5010001
Citations
2
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.68
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article

A Time-(Anti)symmetric Approach to the Double Solution Theory

Aurélien Drezet, Pierre Jamet
2 citations
Foundations
Quantum Mechanics and Applications
0.68
article

A Time-(Anti)symmetric Approach to the Double Solution Theory

Aurélien Drezet, Pierre Jamet
article en
2 citations

Abstract

In this work, we present a new theoretical approach to interpreting and reproducing quantum mechanics using trajectory-guided wavelets. Inspired by the 1925 work of Louis de Broglie, we demonstrate that pulses composed of a difference between a delayed wave and an advanced wave (known as antisymmetric waves) are capable of following quantum trajectories predicted by the de Broglie–Bohm theory (also known as Bohmian mechanics). Our theory reproduces the main results of orthodox quantum mechanics and unlike Bohmian theory, is local in the Bell sense. We show that this is linked to the superdeterminism and past–future (anti)symmetry of our theory.

FoundationsVol. 5(1)
Centre National de la Recherche Scientifique (FR), Laboratoire de Physique Subatomique et de Cosmologie (FR), Institut Néel (FR), Université Grenoble Alpes (FR)
Openalex Percentile: Top 29%
Quantum Mechanics and Applications
0.68
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