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Physical Review D
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arXiv.org e-Print Archive
Preprint . 2004
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Physical Review D
Article . 2010 . Peer-reviewed
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Special relativity as a noncommutative geometry: Lessons for deformed special relativity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Apr 2010Embargo end date: 01 Jan 2004Publisher:American Physical Society (APS)Journal:Physical Review D, volume 81 (issn: 1550-7998, eissn: 1550-2368, Copyright policy )
Authors: Florian Girelli; Etera R. Livine;

doi: 10.1103/physrevd.81.085041 , 10.48550/arxiv.gr-qc/0407098

arXiv: http://arxiv.org/abs/gr-qc/0407098

Special relativity as a noncommutative geometry: Lessons for deformed special relativity

Abstract

Deformed Special Relativity (DSR) is obtained by imposing a maximal energy to Special Relativity and deforming the Lorentz symmetry (more exactly the Poincar�� symmetry) to accommodate this requirement. One can apply the same procedure deforming the Galilean symmetry in order to impose a maximal speed (the speed of light). This leads to a non-commutative space structure, to the expected deformations of composition of speed and conservation of energy-momentum. In doing so, one runs into most of the ambiguities that one stumbles onto in the DSR context. However, this time, Special Relativity is there to tell us what is the underlying physics, in such a way that we can understand and interpret these ambiguities. We use these insights to comment on the physics of DSR.

24 pages, RevTeX4

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 10%
Top 10%
Green
bronze