Nonlocal Transformations for Accelerated Observers

TL;DR

This paper explores nonlocal transformations for accelerated observers in Minkowski spacetime, extending Lorentz group representations to account for acceleration-induced nonlocality, with detailed analysis for Dirac spinors.

Contribution

It introduces a nonlocal extension of Lorentz transformations for accelerated observers, specifically analyzing the case of Dirac spinors.

Findings

Nonlocal transformations differ from local Lorentz transformations.

A nonlocal transformation group for Dirac spinors is developed.

Implications for measurements by accelerated observers are discussed.

Abstract

According to the locality postulate of special relativity, the measurements of physical fields by accelerated observers at a given event in Minkowski spacetime are related to each other by the representations of the Lorentz group. Nonlocal extensions of these representations are necessary, however, once acceleration-induced nonlocality is taken into account. The particular case of Dirac spinors is treated in detail and the corresponding nonlocal transformation group is studied.