Invariant length scale in relativistic kinematics - Lessons from Dirichlet branes

Abstract

We show that Dirac-Born-Infeld theory possesses a hidden invariance that enhances the local O(1,p) Lorentz symmetry on a Dirichlet p-brane to an O(1,p) x O(1,p) gauge group, encoding both an invariant velocity and acceleration (or length) scale. This enlarged gauge group predicts consequences for the kinematics of observers on Dirichlet branes, with admissible accelerations being bounded from above. An important lesson beyond string theory is that a fundamental length scale can be implemented into the kinematics of general relativity, whilst preserving both space-time as a smooth manifold and local Lorentz symmetry, contrary to common belief. We point out consequences for string phenomenology, classical gravity and atomic physics.

4 pages, to be published in Phys Lett B

References in corpus (4)

• Generalized Lorentz invariance with an invariant energy scale
• De Sitter space as an arena for Doubly Special Relativity
• Born-Infeld Kinematics
• Born-Infeld Kinematics and Correction to the Thomas Precession

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