Fermion-antifermion mixing in gravitational fields

TL;DR

This paper investigates how gravitational fields induce mixing between fermions and antifermions, potentially leading to matter-antimatter asymmetry through reaction symmetry breaking.

Contribution

It provides a detailed analysis of fermion-antifermion mixing in gravitational fields and calculates reaction cross sections, highlighting conditions that favor matter over antimatter production.

Findings

Fermion-antifermion mixing occurs in gravitational interactions.

Reaction cross sections are identical in both directions.

Rapid conversion of antifermions into lighter antiparticles breaks symmetry, increasing matter production.

Abstract

Mixing of fermion and antifermion states occurs in gravitational interactions, leading to non-conservation of fermion number above temperatures determined by the particle masses. We study the evolution of a $f\,,\bar{f}$ system and calculate the cross sections for the reactions $f\rightleftharpoons\bar{f}$. Their values are identical in both directions. However, if $\bar{f}$ changes quickly into a lighter antiparticle, then the reaction symmetry is broken, \emph{resulting in an increased production of matter over antimatter}.