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General Relativity and Quantum Cosmology

arXiv:0711.2274 (gr-qc)
[Submitted on 14 Nov 2007 (v1), last revised 12 Nov 2008 (this version, v3)]

Title:de Sitter Relativity: a New Road to Quantum Gravity?

Authors:R. Aldrovandi, J. G. Pereira
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Abstract: The Poincare' group generalizes the Galilei group for high-velocity kinematics. The de Sitter group is assumed to go one step further, generalizing Poincare' as the group governing high-energy kinematics. In other words, ordinary special relativity is here replaced by de Sitter relativity. In this theory, the cosmological constant is no longer a free parameter, and can be determined in terms of other quantities. When applied to the whole universe, it is able to predict the value of the cosmological constant and to explain the cosmic coincidence. When applied to the propagation of ultra-high energy photons, it gives a good estimate of the time delay observed in extragalactic gamma-ray flares. It can, for this reason, be considered a new paradigm to approach the quantum gravity problem.
Comments: 18 pages, no figures. v3: Important presentation changes intended to clarify some points of the previous version; title slightly changed and references added. Version to be published in Foundations of Physics
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:0711.2274 [gr-qc]
  (or arXiv:0711.2274v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.2274
Journal reference: Found.Phys.39:1-19,2009
Related DOI: https://doi.org/10.1007/s10701-008-9258-5

Submission history

From: Jose Geraldo Pereira [view email]
[v1] Wed, 14 Nov 2007 19:35:41 UTC (16 KB)
[v2] Wed, 23 Jan 2008 14:17:55 UTC (17 KB)
[v3] Wed, 12 Nov 2008 11:08:54 UTC (16 KB)
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