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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2603.07951 |
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| _version_ | 1866911498591272960 |
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| author | Chen, Wen-Xiang |
| author_facet | Chen, Wen-Xiang |
| contents | Motivated by the entropy-functional formulation of emergent gravity, in which spacetime is endowed with a thermodynamic entropy that, upon extremization, yields the Einstein field equations, we reformulate the onset of a neutron star as a bulk gravitational-thermodynamic threshold problem. By combining the Jacobson-Padmanabhan perspective of gravity as an equation of state with Tolman redshift, Tolman-Oppenheimer-Volkoff hydrostatics, and a bulk binding versus thermal energy balance, we derive four characteristic temperature scales for a static compact object: the Newtonian virial threshold, the redshifted threshold as observed at infinity, the degenerate-matter threshold, and the surface screen temperature.The paper supplies a mathematically expanded derivation, explicit TOV and Fermi-gas formulae, and thermodynamic consistency relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07951 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Threshold Temperature for Neutron-Star Emergence in a Gravitational Thermodynamic Framework Chen, Wen-Xiang General Relativity and Quantum Cosmology Motivated by the entropy-functional formulation of emergent gravity, in which spacetime is endowed with a thermodynamic entropy that, upon extremization, yields the Einstein field equations, we reformulate the onset of a neutron star as a bulk gravitational-thermodynamic threshold problem. By combining the Jacobson-Padmanabhan perspective of gravity as an equation of state with Tolman redshift, Tolman-Oppenheimer-Volkoff hydrostatics, and a bulk binding versus thermal energy balance, we derive four characteristic temperature scales for a static compact object: the Newtonian virial threshold, the redshifted threshold as observed at infinity, the degenerate-matter threshold, and the surface screen temperature.The paper supplies a mathematically expanded derivation, explicit TOV and Fermi-gas formulae, and thermodynamic consistency relations. |
| title | Threshold Temperature for Neutron-Star Emergence in a Gravitational Thermodynamic Framework |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.07951 |