Towards a quantum theory of de Sitter space

TL;DR

This paper discusses progress in developing a quantum theory of four-dimensional de Sitter space, proposing a model with fermionic oscillators to represent particle states and black holes, based on a conjecture about Grassmann algebra.

Contribution

It introduces a novel approach using fermionic oscillators to model excitations in a quantum de Sitter space, including particles and black holes, based on a new conjecture.

Findings

Particle states can be modeled as excitations of fermionic oscillators.

Black holes in de Sitter space can be represented within this fermionic framework.

The approach relies on a conjecture about Grassmann algebra that remains unproven.

Abstract

We describe progress towards constructing a quantum theory of de Sitter space in four dimensions. In particular we indicate how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators. The results about particle states depend on a conjecture about algebras of Grassmann variables, which we state, but do not prove.