Quantum theory of three-dimensional de Sitter space

TL;DR

This paper proposes a holographic, finite, and unitary quantum model for three-dimensional de Sitter space, aligning with semi-classical physics and potentially exhibiting fast scrambling.

Contribution

It introduces a novel quantum model of 3D de Sitter space based on the Covariant Entropy Principle, emphasizing holography and finite particle states.

Findings

Model is holographic, finite, and unitary

Qualitatively reproduces semi-classical de Sitter features

Suggests the possibility of fast scrambling in the model

Abstract

We sketch the construction of a quantum model of 3 dimensional de Sitter space, based on the Covariant Entropy Principle and the observation that semi-classical physics suggests the possibility of a consistent theory of a finite number of unstable massive particles with purely gravitational interactions. Our model is holographic, finite, unitary, causal, plausibly exhibits fast scrambling, and qualitatively reproduces features of semi-classical de Sitter physics. In an appendix we outline some calculations that might lead to further tests of the model.