Hydrodynamic–Geometric Interpretation of Quantum Measurement and Wave–Particle Duality

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1. Verfasser: Torres, Juan
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Veröffentlicht: Zenodo 2026
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author Torres, Juan
author_facet Torres, Juan
contents <p>We present a theoretical framework in which quantum wave–particle duality and measurement-induced localization emerge from the dynamics of an extended excitation propagating in a continuous medium. By modeling quantum entities as effectively higher-dimensional or spatially extended oscillatory structures whose observable behavior corresponds to their constrained intersection with three-dimensional space, we reinterpret quantum probability, wavefunction collapse, and the double-slit experiment without modifying the formalism of quantum mechanics. Measurement is described as a dynamical pressure or damping interaction that reduces the observable coherence length of the excitation. Numerical simulations of a double-slit geometry demonstrate continuous transition between wave-like interference and particle-like localization under increasing measurement strength. The model is consistent with standard uncertainty relations and decoherence theory, while providing an intuitive geometric and hydrodynamic interpretation of quantum phenomena.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19935459
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Hydrodynamic–Geometric Interpretation of Quantum Measurement and Wave–Particle Duality
Torres, Juan
Quantum physics
quantum hydrodynamics
geometric projection
wave-particle duality
Double-Slit Simulation
Decoherence Theory
<p>We present a theoretical framework in which quantum wave–particle duality and measurement-induced localization emerge from the dynamics of an extended excitation propagating in a continuous medium. By modeling quantum entities as effectively higher-dimensional or spatially extended oscillatory structures whose observable behavior corresponds to their constrained intersection with three-dimensional space, we reinterpret quantum probability, wavefunction collapse, and the double-slit experiment without modifying the formalism of quantum mechanics. Measurement is described as a dynamical pressure or damping interaction that reduces the observable coherence length of the excitation. Numerical simulations of a double-slit geometry demonstrate continuous transition between wave-like interference and particle-like localization under increasing measurement strength. The model is consistent with standard uncertainty relations and decoherence theory, while providing an intuitive geometric and hydrodynamic interpretation of quantum phenomena.</p>
title Hydrodynamic–Geometric Interpretation of Quantum Measurement and Wave–Particle Duality
topic Quantum physics
quantum hydrodynamics
geometric projection
wave-particle duality
Double-Slit Simulation
Decoherence Theory
url https://doi.org/10.5281/zenodo.19935459