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 antisymmetr...

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Main Authors: Pierre Jamet, Aurélien Drezet
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Foundations
Subjects:
Online Access:https://www.mdpi.com/2673-9321/5/1/1
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author Pierre Jamet
Aurélien Drezet
author_facet Pierre Jamet
Aurélien Drezet
author_sort Pierre Jamet
collection DOAJ
description 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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spelling doaj-art-e9cceb00fde84e2eab504d2f33c546eb2025-08-20T03:43:02ZengMDPI AGFoundations2673-93212024-12-0151110.3390/foundations5010001A Time-(Anti)symmetric Approach to the Double Solution TheoryPierre Jamet0Aurélien Drezet1Laboratoire de Physique Subatomique et Cosmologie, UMR 5821, CNRS-Université Grenoble Alpes, 53 Avenue des Martyrs, 38000 Grenoble, FranceInstitut Néel, UPR 2940, CNRS-Université Grenoble Alpes, 25 Avenue des Martyrs, 38000 Grenoble, FranceIn 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.https://www.mdpi.com/2673-9321/5/1/1de Broglie double solutionBohmian mechanicsquantum causalityrelativistic wave equationstime symmetry
spellingShingle Pierre Jamet
Aurélien Drezet
A Time-(Anti)symmetric Approach to the Double Solution Theory
Foundations
de Broglie double solution
Bohmian mechanics
quantum causality
relativistic wave equations
time symmetry
title A Time-(Anti)symmetric Approach to the Double Solution Theory
title_full A Time-(Anti)symmetric Approach to the Double Solution Theory
title_fullStr A Time-(Anti)symmetric Approach to the Double Solution Theory
title_full_unstemmed A Time-(Anti)symmetric Approach to the Double Solution Theory
title_short A Time-(Anti)symmetric Approach to the Double Solution Theory
title_sort time anti symmetric approach to the double solution theory
topic de Broglie double solution
Bohmian mechanics
quantum causality
relativistic wave equations
time symmetry
url https://www.mdpi.com/2673-9321/5/1/1
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