Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910902410805248 |
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| author | Mandrin, Pierre A |
| author_facet | Mandrin, Pierre A |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity Mandrin, Pierre A General Physics 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. |
| title | Statistical mechanical space-time decomposition as a key to a (non-perturbative) quantization prescription for gravity |
| topic | General Physics |
| url | https://arxiv.org/abs/2504.01998 |