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arXiv · 1203.2642

Very special relativity as particle in a gauge field and two-time physics

Juan M. Romero·Eric Escobar·Etelberto Vazquez
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Abstract

The action for a $(3+1)$-dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective $(2+1)$-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.

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Juan M. Romero, Eric Escobar, Etelberto Vazquez. 2012-12-21. Very special relativity as particle in a gauge field and two-time physics. https://doi.org/10.1142/s0217732313500041

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