Result: Invariant length scale in relativistic kinematics: lessons from Dirichlet branes
Perimeter Institute for Theoretical Physics, 35 King Street N, Waterloo, Ontario N2J 2W9, Canada
Emmanuel College, St. Andrew's Street, Cambridge CB2 3AP, United Kingdom
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Theoretical physics
Further Information
Dirac-Born-Infeld theory is shown to possess a hidden invariance associated with its maximal electric field strength. The local Lorentz symmetry O (1, n) on a Dirichlet-n-brane is thereby enhanced to an O(1, n) x O(1, n) gauge group, encoding both an invariant velocity and acceleration (or length) scale. The presence of this enlarged gauge group predicts consequences for the kinematics of observers on Dirichlet branes, with admissible accelerations being bounded from above. An important lesson is that the introduction of a fundamental length scale into relativistic kinematics does not enforce a deformation of Lorentz boosts, as one might assume naively. The exhibited structures further show that Moffat's non-symmetric gravitational theory qualifies as a candidate for a consistent Born-Infeld type gravity with regulated solutions.