Born-Infeld Kinematics

TL;DR

This paper develops a covariant geometric framework on tangent bundles to incorporate Born-Infeld symmetries, extending relativity to include maximal acceleration, and explores implications for particle dynamics and quantization.

Contribution

It introduces a maximal acceleration extension of relativity based on Born-Infeld symmetries within a geometric tangent bundle formulation.

Findings

Covariant formulation of maximal acceleration relativity.

Application to point particle dynamics.

Discussion on transition to first quantization.

Abstract

We encode dynamical symmetries of Born-Infeld theory in a geometry on the tangent bundle of generally curved spacetime manifolds. The resulting covariant formulation of a maximal acceleration extension of special and general relativity is put to use in the discussion of particular point particle dynamics and the transition to a first quantized theory.