English

The enigmatic gravitational partition function

High Energy Physics - Theory 2025-03-27 v3 General Relativity and Quantum Cosmology

Abstract

The saddle point approximation to formal quantum gravitational partition functions has yielded plausible computations of horizon entropy in various settings, but it stands on shaky ground. In this paper we visit some of that shaky ground, address some foundational questions, and describe efforts toward a more solid footing. We focus on the case of de Sitter horizon entropy which, it has been argued, corresponds to the dimension of the Hilbert space of a ball of space surrounded by the cosmological horizon.

Keywords

Cite

@article{arxiv.2411.00267,
  title  = {The enigmatic gravitational partition function},
  author = {Batoul Banihashemi and Ted Jacobson},
  journal= {arXiv preprint arXiv:2411.00267},
  year   = {2025}
}

Comments

14 pages + references, 5 figures, invited paper for the Lema\^itre Conference 2024; v2: added clarification with regard to gauge fixing, minor editing; v3: minor editing for clarification, acknowledgment added, published version

R2 v1 2026-06-28T19:43:44.973Z