Time traps for electron-positron pairs

TL;DR

This paper presents analytical solutions to the Dirac equation revealing that electron-positron pairs can be temporarily trapped by specific electromagnetic fields, challenging traditional interpretations of the wave function.

Contribution

It introduces a novel class of solutions demonstrating time traps for pairs, highlighting limitations of the one-particle Dirac interpretation.

Findings

Electron-positron pairs can be trapped temporarily by certain electromagnetic fields.

The naive one-particle interpretation of the Dirac wave function fails in these scenarios.

The phenomenon of time traps appears to be physically real despite artificial field configurations.

Abstract

Analytical solutions of the Dirac equation in an external electromagnetic field are found such that according to the field-theoretic interpretation electron-positron pairs are trapped for a period of time. The naive one-particle interpretation of the Dirac wave function fails in this case completely. Simple electromagnetic field which produces this effect was undeniably concocted and may look artificial but the phenomenon of time traps seems real.