Paired Accelerated Frames

TL;DR

This paper explores the quantum mechanical basis of acceleration temperature phenomena through a novel concept of achronal spin in pairs of causally disjoint accelerated frames, extending to multiparticle systems and demonstrating conservation laws.

Contribution

It introduces the concept of achronal spin based on pairs of causally disjoint accelerated frames and extends its conservation to multiparticle systems with interactions.

Findings

Achronal spin is linked to acceleration temperature phenomena.

Conservation of achronal spin holds in multiparticle systems.

Spin precession occurs under spacetime translation.

Abstract

The geometrical and quantum mechanical basis for Davies' and Unruh's acceleration temperature is traced to a type of quantum mechanical (``achronal'') spin. Its existence and definition are based on pairs of causally disjoint accelerated frames. For bosons the expected spin vector of monochromatic particles is given by the ``Planckian power'' and the ``r.m.s. thermal fluctuation'' spectra. Under spacetime translation the spin direction precesses around that ``Planckian'' vector. By exhibiting the conserved achronal spin four-current, we extend the identification of achronal spin from single quanta to multiparticle systems. Total achronal spin conservation is also shown to hold, even in the presence of quadratic interactions.