Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications

TL;DR

This paper introduces a symmetric formulation of relativistic quantum mechanics for spin-zero particles, aligning with relativity and exploring implications for nonlocality, the uncertainty principle, and quantum vacuum.

Contribution

It presents a fully symmetric relativistic quantum mechanics framework that incorporates a new vector-mass concept, enhancing understanding of fundamental quantum phenomena.

Findings

Reproduces classical relativistic particle action

Introduces the vector-mass with physical implications

Discusses impacts on nonlocality and quantum vacuum

Abstract

A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new theory fully symmetric and consistent with the Special Theory of Relativity. The theory correctly reproduces the classical action of a relativistic particle in the path integral formalism, and allows for the introduction of a new quantity called vector-mass, whose physical implications for nonlocality, the uncertainty principle, and quantum vacuum are described and discussed.