Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity
Abstract
By assuming gravity and matter to be subject to a joint statistical mechanical concept (JSMC) and interpreting Rindler horizon sections as open thermodynamic systems, one arrives at a specific new form of non-perturbative Lorentzian path integral quantisation in a compact space-time region, with well-determined gravitational measure, adequate fixing of boundary conditions and causal geometries. JSMC implies a space-time decomposition, leading to a sum over configurations in line with path integral methods. In these developments, we carefully distinguish the concepts of Boltzmann's statistical mechanics and the path integral.
Cite
@article{arxiv.2504.01998,
title = {Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity},
author = {Pierre A Mandrin},
journal= {arXiv preprint arXiv:2504.01998},
year = {2025}
}
Comments
8 pages. To appear in J. Phys.: Conf. Ser. (2025). (This article is part of the same project as in Mandrin P A 2023 J. Phys.: Conf. Ser. 2533 012034; arXiv:2503.20837)