Born-Infeld Kinematics and Correction to the Thomas Precession

TL;DR

This paper explores a geometric extension of general relativity inspired by Born-Infeld theory, introducing a finite acceleration bound that leads to corrections in particle dynamics and the Thomas precession.

Contribution

It presents a novel geometric framework based on Born-Infeld symmetries that extends general relativity to include a maximum acceleration, affecting particle motion and precession calculations.

Findings

Derived a correction to the Thomas precession.

Proposed a geometry on the tangent bundle of spacetime.

Extended general relativity with a finite acceleration limit.

Abstract

Dynamical symmetries of Born-Infeld theory associated with its maximal field strength are encoded in a geometry on the tangent bundle of spacetime manifolds. The resulting extension of general relativity respecting a finite upper bound on accelerations is put to use in the discussion of particle dynamics, first quantization, and the derivation of a correction to the Thomas precession.