Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-31
Phys.Lett. B547 (2002) 291-296
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, A footnote clarifying the issue of momenta addition added, mistake in the bibliography corrected
Scientific paper
10.1016/S0370-2693(02)02762-4
We show that Doubly Special Relativity (DSR) can be viewed as a theory with energy-momentum space being the four dimensional de Sitter space. Different formulations (bases) of the DSR theory considered so far can be therefore understood as different coordinate systems on this space. The emerging geometrical picture makes it possible to understand the universality of the non-commutative structure of space-time of Doubly Special Relativity. Moreover, it suggests how to construct the most natural DSR bases and makes it possible to address the long standing problem of total momentum of many particle systems from a different perspective.
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