Lorentz violation with a universal minimum speed as foundation of de Sitter relativity

We aim to investigate the theory of Lorentz violation with an invariant minimum speed so-called Symmetrical Special Relativity (SSR) from the viewpoint of its metric. Thus we should explore the nature of SSR-metric in order to understand the origin of the conformal factor that appears in the metric...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Cláudio Nassif da Cruz, dos Santos, Rodrigo Francisco, A C Amaro de Faria Jr
Format: Article
Language:English
Subjects:
Cosmological constant
Curvature
Deformation
Invariants
Kinematics
Mathematical analysis
Relativity
Theory of relativity
Universe
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Summary:We aim to investigate the theory of Lorentz violation with an invariant minimum speed so-called Symmetrical Special Relativity (SSR) from the viewpoint of its metric. Thus we should explore the nature of SSR-metric in order to understand the origin of the conformal factor that appears in the metric by deforming Minkowski metric by means of an invariant minimum speed that breaks down Lorentz symmetry. So we are able to realize that there is a similarity between SSR and a new space with variable negative curvature (\(-\infty
ISSN:2331-8422
DOI:10.48550/arxiv.1710.11497