Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime
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| Format: | Preprint |
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2026
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| _version_ | 1866911688853291008 |
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| author | Meza-Domínguez, Jorge Matos, Tonatiuh Chavanis, Pierre-Henri |
| author_facet | Meza-Domínguez, Jorge Matos, Tonatiuh Chavanis, Pierre-Henri |
| contents | We develop a comprehensive thermodynamic description for a zero-temperature boson gas in curved spacetime, integrating energy conservation with information-theoretic principles. Using the hydrodynamic Madelung representation within the ADM formalism, we establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density. This dual formulation clearly separates energy transport from information conservation while revealing how quantum information is preserved in curved backgrounds. The introduction of a stochastic velocity provides a bridge between quantum potential effects and underlying spacetime fluctuations. We demonstrate the consistency of our framework through detailed analyses of quantum systems in both Minkowski and Schwarzschild spacetimes. This work provides a unified foundation for studying relativistic bosonic systems, with direct relevance to boson stars and scalar field dark matter models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23931 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime Meza-Domínguez, Jorge Matos, Tonatiuh Chavanis, Pierre-Henri General Relativity and Quantum Cosmology Quantum Physics We develop a comprehensive thermodynamic description for a zero-temperature boson gas in curved spacetime, integrating energy conservation with information-theoretic principles. Using the hydrodynamic Madelung representation within the ADM formalism, we establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density. This dual formulation clearly separates energy transport from information conservation while revealing how quantum information is preserved in curved backgrounds. The introduction of a stochastic velocity provides a bridge between quantum potential effects and underlying spacetime fluctuations. We demonstrate the consistency of our framework through detailed analyses of quantum systems in both Minkowski and Schwarzschild spacetimes. This work provides a unified foundation for studying relativistic bosonic systems, with direct relevance to boson stars and scalar field dark matter models. |
| title | Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2603.23931 |