Some Thoughts on the Quantum Theory of Stable de Sitter Space

TL;DR

This paper reviews and updates the quantum theory of de Sitter space, introducing new relations between energy and entropy, and discussing algebraic structures, infra-red divergences, and phenomenological implications.

Contribution

It presents new quantum relations for de Sitter space, explores a q-deformed supergroup, and connects phenomenological scales with galaxy existence.

Findings

Quantum relation between energy and entropy in de Sitter space

Algebraic derivation of CSB scaling relation

Explanation of phenomenological scale coincidence

Abstract

I review and update ideas about the quantum theory of de Sitter space. New results include a quantum relation between energy and entropy of states in the causal patch, which is satisfied by small dS black holes. I also discuss the preliminaries of a quantum theory in global coordinates, which is invariant under a q-deformed version of the de Sitter supergroup. In this context I outline an algebraic derivation of the CSB scaling relation between Poincare SUSY breaking and the dS radius. I also review recent work on infra-red divergences in dS/CFT, as well as the phenomenology of CSB. I show that a coincidence been two scales in the phenomenological model is explained by insisting on the existence of galaxies.