Acceleration-induced nonlocality: kinetic memory versus dynamic memory

TL;DR

This paper examines how accelerated observers in Minkowski spacetime remember their motion, concluding that only kinetic memory is physically acceptable due to issues with dynamic memory.

Contribution

It distinguishes between kinetic and dynamic memory in nonlocal theory, showing that only kinetic memory is consistent for nonuniform acceleration.

Findings

Dynamic memory causes divergences in nonuniform acceleration

Kinetic memory remains well-defined and physically acceptable

Only kinetic memory should be used in nonlocal theories of accelerated observers

Abstract

The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. We show that only kinetic memory is acceptable, since dynamic memory leads to divergences for nonuniform accelerated motion.