Some Implications of the Cosmological Constant to Fundamental Physics
Abstract
In the presence of a cosmological constant, ordinary Poincaré special relativity is no longer valid and must be replaced by a de Sitter special relativity, in which Minkowski space is replaced by a de Sitter spacetime. In consequence, the ordinary notions of energy and momentum change, and will satisfy a different kinematic relation. Such a theory is a different kind of a doubly special relativity. Since the only difference between the Poincaré and the de Sitter groups is the replacement of translations by certain linear combinations of translations and proper conformal transformations, the net result of this change is ultimately the breakdown of ordinary translational invariance. From the experimental point of view, therefore, a de Sitter special relativity might be probed by looking for possible violations of translational invariance. If we assume the existence of a connection between the energy scale of an experiment and the local value of the cosmological constant, there would be changes in the kinematics of massive particles which could hopefully be detected in highenergy experiments. Furthermore, due to the presence of a horizon, the usual causal structure of spacetime would be significantly modified at the Planck scale.
 Publication:

XIIth Brazilian School of Cosmololy and Gravitation
 Pub Date:
 June 2007
 DOI:
 10.1063/1.2752487
 arXiv:
 arXiv:grqc/0702065
 Bibcode:
 2007AIPC..910..381A
 Keywords:

 98.80.Es;
 98.80.Jk;
 03.30.+p;
 Observational cosmology;
 Mathematical and relativistic aspects of cosmology;
 Special relativity;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 15 pages, lecture presented at the "XIIth Brazilian School of Cosmology and Gravitation", Mangaratiba, Rio de Janeiro, September 1023, 2006