Some Thoughts on the Quantum Theory of Stable de Sitter Space

TL;DR

Addresses how SUSY breaking and the cosmological constant can be reconciled in a quantum theory of stable de Sitter space. Advances a phenomenological finite-state quantum-gravity framework with a static-Hamiltonian bounded by $T_{dS}$ and a near-commuting $P_0$; global descriptions use a $q$-deformed de Sitter symmetry. Key results include a quantum energy–entropy relation for causal-patch states, an algebraic derivation of the CSB scaling, and IR-divergence considerations in dS/CFT. A two-scale CSB phenomenology is discussed and argued to be tied to galaxy formation, connecting the cosmological constant to low-energy SUSY breaking and offering a path toward predictive dS quantum gravity.

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.