Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry

TL;DR

This paper analyzes theories with deformed relativistic symmetries and momentum-dependent photon speeds, proposing a formalization that avoids previous pathologies and redefines the concept of coincident events in spacetime.

Contribution

It provides a general analysis of worldlines in theories with Planck-scale-deformed Lorentz symmetry, offering a formalization consistent with Einstein's framework and addressing prior conceptual issues.

Findings

Renunciation of the idealization of coincident events

Avoidance of previously conjectured pathologies

A formalization faithful to Einstein's program

Abstract

We report a general analysis of worldlines for theories with deformed relativistic symmetries and momentum dependence of the speed of photons. Our formalization is faithful to Einstein's program, with spacetime points viewed as an abstraction of physical events. The emerging picture imposes the renunciation of the idealization of absolutely coincident events, but is free from some pathologies which had been previously conjectured.