Spin and maximal acceleration

TL;DR

This paper explores how maximal acceleration influences the spin current tensor of Dirac particles, highlighting the importance of time-dependent acceleration for spin-angular momentum exchange and discussing astrophysical implications.

Contribution

It provides a novel analysis of the effects of maximal acceleration on spin physics and the dynamical consequences for Dirac particles.

Findings

Interchange between spin and angular momentum requires time-dependent acceleration.

Maximal acceleration imposes strict limits on spin effects in astrophysics.

Dynamical consequences of maximal acceleration are identified.

Abstract

We study the spin current tensor of a Dirac particle at accelerations close to the upper limit introduced by Caianiello. Continual interchange between particle spin and angular momentum is possible only when the acceleration is time-dependent. This represents a stringent limit on the effect that maximal acceleration may have on spin physics in astrophysical applications. We also investigate some dynamical consequences of maximal acceleration.