Invariant length scale in relativistic kinematics: lessons from Dirichlet branes |
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| Institution: | 1. Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, United Kingdom;2. Perimeter Institute for Theoretical Physics, 35 King Street N, Waterloo, Ontario N2J 2W9, Canada;3. Emmanuel College, St. Andrew''s Street, Cambridge CB2 3AP, United Kingdom;1. School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, Scotland, UK;2. Mathematical Institute, University of Oxford, Oxford OX2 6GG, England, UK;3. Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, Scotland, UK;4. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106-4030, USA;1. School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran;2. Department of Physics, Azzahra University, Tehran 19938-93973, Iran;3. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Physics, Lovely Professional University, Phagwara, Punjab, 144411, India;2. Department of Physics, Ashoka University, Sonepat, Haryana, 131029, India;3. NAS, Centre for Theoretical Physics & Natural Philosophy, Mahidol University, Nakhonsawan Campus, Nakhonsawan 60130, Thailand;4. Inter-University Centre for Astronomy & Astrophysics, Post Bag 4, Pune, 411 007, India;5. Department of Physics, SVNIT Surat, Ichchhanath, Surat 395007, Gujarat, India |
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| Abstract: | 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)×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. |
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