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arXiv:2311.09604

Deterministic Quantum Field Trajectories and Macroscopic Effects

Massoud Akbari-Moghanjoughi

Published Nov 16, 2023• 0 citations
arXivHTMLPDF

Abstract

In this work the root to macroscopic quantum effects is revealed based on the quasiparticle model of collective excitations in an arbitrary degenerate electron gas. The $N$-electron quantum system is considered as $N$ streams coupled, through the Poisson's relation, which are localized in momentum space rather than electron localization in real space, assumed in ordinary many body theories. Using a new wavefunction representation, the $N+1$-coupled system is reduced to simple pseudoforce equations via quasiparticle (collective quantum) model leading to a generalized matter wave dispersion relation. It is shown that the resulting dual lengthscale de Broglie's matter wave theory predicts macroscopic quantum effects and deterministic field trajectories for charges moving in the electron gas due to the coupling of the electrostatic field to the local electron number density. It is remarked that any quantum many body system composed of large number of interacting particles acts as a dual arm device controlling the microscopic single particle effects with one hand and the macroscopic phenomena with the other. Current analysis can be further extended to include the magnetic potential and spin exchange effects. Present model can also be used to confirm macroscopic entanglement of charged particles embedded in a quantum electron fluid.

DOI
10.48550/arxiv.2311.09604

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The deterministic origin of quantum mechanics remains one of the most enduring challenges in modern physics. While standard quantum theory provides a probabilistic framework for elementary particles, its underlying physical mechanism is often considered non-classical. Here we show that central features of quantum phenomena can emerge from a classical electrodynamic model where particles are treated as tightly bound composites of oscillating charge distributions. These internal oscillations transform the particle into a Hertzian dipole that emits high-frequency, coherent, classical electromagnetic waves. We demonstrate that these waves, when reflected by surrounding matter, generate ponderomotive fields that act back on the particle’s trajectory. Our simulations of electron trajectories in atomic configurations reproduce the interference and diffraction patterns characteristic of double-slit experiments, realizing a pilot-wave-like dynamics reminiscent of de Broglie’s double-solution theory. These findings suggest that wave-particle duality, the measurement problem, and the uncertainty principle may not be irreducible quantum axioms, but rather emergent properties of deterministic, classical interactions between matter and high-frequency electromagnetic fields.
Abstract We point the rather unusual existence of a potential embedding in the Lorentz trajectory – charged particle trajectory in a magnetic field – of a one-dimensional matter wave dynamics on the macro-scale as demonstrated through one-dimensional matter wave interference effects on the macro-scale, as well as the observation of a curl-free vector potential in one dimension, also on the macro-scale. Such an embedding is a manifestation of the generation of the quantum modulation of the de Broglie wave of the particle along the magnetic field, arising concomitantly, with a scattering-induced transition across Landau levels in consequence of quantum entanglement between the parallel and perpendicular degrees of freedom.