De Sitter space with finitely many states: A toy story

Maulik Parikh, Erik Verlinde

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The finite entropy of de Sitter space suggests that in a theory of quantum gravity there are only finitely many states. It has been argued that in this case there is no action of the de Sitter group consistent with unitarity. In this note we propose a way out of this if we give up the requirement of having a hermitian Hamiltonian. We argue that some of the generators of the de Sitter group act in a novel way, namely by mixing in- and out-states. In this way it is possible to have a unitary S-matrix that is finite-dimensional and, moreover, de Sitter-invariant. Using Dirac spinors, we construct a simple toy model that exhibits these features

Original languageEnglish (US)
Title of host publicationThe Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
PublisherWorld Scientific Publishing Co.
Pages2346-2351
Number of pages6
Volume3
ISBN (Electronic)9789812704030
ISBN (Print)9789812566676
DOIs
StatePublished - Jan 1 2006
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'De Sitter space with finitely many states: A toy story'. Together they form a unique fingerprint.

Cite this