De Sitter Relativity: a New Road to Quantum Gravity?
Abstract
The Poincaré group generalizes the Galilei group for highvelocity kinematics. The de Sitter group is assumed to go one step further, generalizing Poincaré as the group governing highenergy kinematics. In other words, ordinary special relativity is here replaced by de Sitter relativity. In this theory, the cosmological constant Λ 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 Λ and to explain the cosmic coincidence. When applied to the propagation of ultrahigh energy photons, it gives a good estimate of the time delay observed in extragalactic gammaray flares. It can, for this reason, be considered a new paradigm to approach the quantum gravity problem.
 Publication:

Foundations of Physics
 Pub Date:
 January 2009
 DOI:
 10.1007/s1070100892585
 arXiv:
 arXiv:0711.2274
 Bibcode:
 2009FoPh...39....1A
 Keywords:

 de Sitter relativity;
 Cosmological constant;
 Quantum gravity;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 18 pages, no figures. v3: Important presentation changes intended to clarify some points of the previous version