Two-Time Relativistic Bohmian Model of Quantum Mechanics

TL;DR

The paper introduces a Two-Time relativistic Bohmian model that explains quantum phenomena via an extra unobservable time dimension, restoring determinism and predicting corrections to the uncertainty principle.

Contribution

It proposes a novel model incorporating an additional time dimension to explain quantum effects and resolve paradoxes in quantum mechanics.

Findings

Demonstrates electron oscillations in the new time dimension tau.

Shows how tau-oscillations cause particles to spread at steady states.

Discusses implications for the definition of time in quantum mechanics.

Abstract

Two-Time relativistic Bohmian Model (TTBM) is a theory in which the apparently paradoxical aspects of Quantum Mechanics are the effect of the existence of an extra unobservable time dimension. The hypothesis that matter is capable of motion with respect to an additional independent time (thus resulting instantaneous with respect to usual time) is capable of restoring determinism, explaining the Zitterbewegung without evoking virtual antimatter. The model also predicts a relativistic correction of the uncertainty principle. Here the model is first summarized (definition, salient properties and empiricism) and after applied to a generic spherical atomic orbit, obtaining electron oscillations in the new time dimension, tau, which demonstrate the static nature of the orbitals. Something very similar happens in the case of a particle in a box, where tau-oscillations cause the particle to spread out at steady states. Some astrophysical and about spin speculations follow. Finally, it is discussed how the model fits into the fundamental problem of the definition of time in Quantum Mechanics. Keywords: Quantum Mechanics Foundations; de Broglie-Bohm Theory; Zitterbewegung; Uncertainty principle verification; Extra dimensions; Atomic orbitals; Spin; Definition of time in Quantum Mechanics.