The Magueijo-Smolin model of Deformed Special Relativity from five dimensions
S. Mignemi
TL;DR
This paper explores the Magueijo-Smolin model of Deformed Special Relativity by embedding its momentum space into a five-dimensional framework, proposing a geometric interpretation involving null hypersurfaces.
Contribution
It establishes a connection between the noncanonical phase space of DSR and a canonical five-dimensional space, offering a new geometric perspective on the model.
Findings
Momentum space of DSR is de Sitter space
Position variables may also be constrained on null hypersurfaces
Provides a geometric interpretation of DSR in five dimensions
Abstract
It is known that the space of momenta of DSR can be identified with de Sitter space. In this paper, we discuss the relation of the noncanonical phase space of the Magueijo-Smolin model of DSR with the canonical 5-dimensional phase space in which the de Sitter space of momenta is embedded. We suggest that in analogy with the momentum variables, also the position variables should be constrained to lie on a null hypersurface of the five-dimensional space
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Relativity and Gravitational Theory