On the Interpretation of the Foundations of Quantum Mechanics

TL;DR

This paper explores a novel interpretation of quantum mechanics where particle behavior is governed by space-time fluctuations, linking entropy, information space, and wave functions to provide insights into quantum phenomena.

Contribution

It introduces a new perspective on quantum behavior based on space-time fluctuations and their relation to information and entropy, offering a different foundation for understanding quantum systems.

Findings

Quantum behavior linked to space-time fluctuations and entropy.

Wave functions as information maps of possible states.

Nonlocality arises from fluctuation correlations.

Abstract

This study discusses the quantum behavior of a particle, which is controlled by fluctuations in the physical space-time (ST) variables, rather than provides a novel interpretation of quantum theory. The fluctuations, i.e., inhomogeneities in a homogeneous phase ST, are prescribed by their probability. They determine the reciprocal space and correlate with the correlation entropy different from zero. Alongside with the minimum entropy, action, and the presence of the Winn-Ehrenfest adiabatic invariant (AI), the fluctuations require the Gilbert information (probabilistic) space linking the physical and the reciprocal ST. Physical quantities in the information space are represented by linear Hermitian operators, which is due to the entropy production in the presence of an AI. Evolution of a quantum system is described by the wave functions having the meaning of information concerning all virtually possible states of a quantum particle. The wave functions are the solutions to the Schrodinger equation and represent a navigation 'roadmap' for the particle to follow. A quantum system is in fact a classical Hamiltonian system in the space of coefficients of the wave function decomposition with respect to the operator eigenfunctions. It is the linearity and the Hermitian nature of the operators which determine the trajectory and the superposition principle in case of the wave behavior of fluctuations. The uncertainty principle, reflects correlation of the fluctuations and, hence, their nonlocality. This study discusses the wave function phase, the Berry phase and its relationship to quantization, discriminability of states and macroscopic quantum effects caused by localization of the particle, followed by a possible entropy change during its transition into a new thermodynamic state.