Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity

Pierre A Mandrin

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arXiv · 2504.01998

Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity

Pierre A Mandrin

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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.

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Pierre A Mandrin. 2025-04-01. Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity. https://arxiv.org/abs/2504.01998

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