Very special relativity as particle in a gauge field and two-time physics
arXiv:1203.2642 · doi:10.1142/S0217732313500041
Abstract
The action for a -dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective -dimensional space-time. It is remarkable that this action can be written as an action for a relativistic particle in a background gauge field and it is shown that this field causes the dimensional reduction. A new symmetry for this system is found. Furthermore, a general action with restored Lorentz symmetry is proposed for this system. It is shown that this new action contains very special relativity and two-time physics.
arXiv comment12 pages; non figures; new material; references added; accepted for publication in Modern Physics Letters A
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