# On the probability interpretation of wave functions in the Dirac theory

## TL;DR

This paper proposes a symmetric formulation of Dirac theory excluding negative energy states, enabling a consistent probability interpretation of wave functions for particles and antiparticles, and resolving related paradoxes.

## Contribution

It introduces a symmetric Dirac theory formulation that excludes negative energy states, allowing for a proper probability interpretation of wave functions.

## Key findings

- Elimination of negative energy states removes paradoxes.
- Wave functions for particles and antiparticles have valid probability interpretations.
- The approach simplifies the conceptual framework of Dirac theory.

## Abstract

It is suggested symmetric relative to particles and antiparticles formulation of the Dirac theory, in which the states with negative energy are excluded. The fields of particles and antiparticles are associated with the wave functions, for which there is valid the Born interpretation of being the probability amplitudes. In doing so, one eliminates different kinds of "paradoxes" in the theory, which existence is caused by an incorrect account of the states with negative energy.