Very Special Relativity

Moustaj, Anouar (2018) Very Special Relativity. Bachelor's Thesis, Physics.

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Abstract

Very Special Relativity (VSR) is a proposed reduction of the theory of special relativity (SR), in which effects that break Lorentz invariance would still be VSR invariant. VSR invariant theories could then be implemented to extend the Standard Model in order to incorporate some known phenomena, such as weak CP violation in the weak interaction, or the existence of a neutrino mass. This bachelor thesis starts by studying VSR groups’ main characteristics to differentiate them from the SR group. This is first done by determining the isomorphisms that represent the group elements by their actions on a two dimensional plane. Subsequently, further differentiation is achieved by identifying invariant vectors and tensors on which representations of the group elements act. One interesting feature of the groups is that they admit an invariant direction in spacetime. Another peculiar characteristic that is shown is the fact that the complete Lorentz group is obtained when the group elements are conjugated by the parity or time reversal operators. The second part of the thesis is an analysis of the dynamics of spin under VSR, as proposed by two different papers. One of them predicts a VSR Thomas precession which is off by a factor of 103 from experimentally established results, while the VSR-extended BMT equation proposed by the other paper is consistent with known results.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Boer, D.
Degree programme:	Physics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	06 Jul 2018
Last Modified:	10 Jul 2018 07:04
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/17659

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