A Relativistic Symmetrical Interpretation of the Dirac Equation in (1+1) Dimensions

TL;DR

This paper introduces a new relativistic, time-symmetric interpretation of the Dirac equation in (1+1) dimensions, emphasizing transitions as fundamental objects, which resolves some conceptual issues of the Copenhagen Interpretation.

Contribution

It proposes a novel relativistic symmetrical interpretation of the Dirac equation that treats transitions as fundamental and eliminates wavefunction collapse, differing from traditional interpretations.

Findings

Predicts both future and past states accurately

Eliminates zitterbewegung in the model

Resolves conceptual inconsistencies of the Copenhagen Interpretation

Abstract

This paper presents a new Relativistic Symmetrical Interpretation (RSI) of the Dirac equation in (1+1)D which postulates: quantum mechanics is intrinsically time-symmetric, with no arrow of time; the fundamental objects of quantum mechanics are transitions; a transition is fully described by a complex transition amplitude density with specified initial and final boundary conditions; and transition amplitude densities never collapse. This RSI is compared to the Copenhagen Interpretation (CI) for the analysis of Einstein's bubble experiment with a spin-$\frac{1}{2}$ particle. This RSI can predict the future and retrodict the past, has no zitterbewegung, resolves some inconsistencies of the CI, and eliminates some of the conceptual problems of the CI.