Some Thoughts About the Quantum Theory of de Sitter Space
Abstract
This is a summary of two lectures I gave at the Davis Conference on Cosmic Inflation. I explain why the quantum theory of de Sitter (dS) space should have a finite number of states and explore gross aspects of the hypothetical quantum theory, which can be gleaned from semiclassical considerations. The constraints of a selfconsistent measurement theory in such a finite system imply that certain mathematical features of the theory are unmeasurable, and that the theory is consequently mathematically ambiguous. There will be a universality class of mathematical theories all of whose members give the same results for local measurements, within the a priori constraints on the precision of those measurements, but make different predictions for unmeasurable quantities, such as the behavior of the system on its Poincare recurrence time scale. A toy model of dS quantum mechanics is presented.
 Publication:

The Davis Meeting On Cosmic Inflation
 Pub Date:
 March 2003
 DOI:
 10.48550/arXiv.astroph/0305037
 arXiv:
 arXiv:astroph/0305037
 Bibcode:
 2003dmci.confE..27B
 Keywords:

 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 Talk presented at Davis Inflation Meeting, 2003 {astroph/0304225}