Hidden Symmetries in Deformed Very Special Relativity
N. Dimakis
TL;DR
This paper explores how Lorentz violation in a deformed symmetry group leads to hidden symmetries and non-commutative phase-space relations in particle dynamics within a modified relativistic framework.
Contribution
It uncovers the emergence of hidden symmetries resulting from Lorentz violation in a deformed very special relativity model.
Findings
Lorentz violation induces higher order hidden symmetries.
Hidden symmetries are connected to broken space-time symmetries.
Non-commutative relations in phase-space are linked to Lorentz violation.
Abstract
We study particle dynamics in a space-time invariant under the group - the deformation of the symmetry group of very special relativity. We find that the Lorentz violation leads to the creation of higher order (hidden) symmetries which are connected to those broken at the space-time level. Through the perspective of the conserved quantities of the special relativistic case the Lorentz violation is linked to specific non-commutative relations in phase-space.
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