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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18780579 |
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| _version_ | 1866901999691235328 |
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| author | Shrivastava, Ansh |
| author_facet | Shrivastava, Ansh |
| contents | <p>This work develops a tensorial formulation of gravity emerging from a Entropy-Hessian geometry framework(https://doi.org/10.5281/zenodo.18773391). The construction begins from a Hessian structure defined by a global entropy functional, from which a metric and affine connection are induced. The analysis investigates how effective tensorial gravitational dynamics arise from this underlying scalar geometric structure.</p> <p>An emergent connection dynamics is introduced and its consistency conditions are examined. The resulting field equations are studied in the infrared regime, where an effective tensorial sector appears. The paper analyzes the structural conditions under which two propagating tensor degrees of freedom can be recovered and discusses the constraints required to avoid additional scalar instabilities.</p> <p>The infrared behavior of the theory is compared with standard General Relativity, and the circumstances under which Einstein-like dynamics emerge are examined. Conservation properties and geometric compatibility conditions are analyzed within the induced connection framework.</p> <p>This work forms part of a broader program in which spacetime geometry, quantum behavior(https://doi.org/10.5281/zenodo.18779307), and gauge structure arise from an entropy-Hessian geometric construction. The present paper focuses specifically on the gravitational sector and its tensorial recovery.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18780579 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Recovery of Tensorial Gravity from Entropy-Hessian Geometry Shrivastava, Ansh Genral-relativity Entropy-Hessian geometry <p>This work develops a tensorial formulation of gravity emerging from a Entropy-Hessian geometry framework(https://doi.org/10.5281/zenodo.18773391). The construction begins from a Hessian structure defined by a global entropy functional, from which a metric and affine connection are induced. The analysis investigates how effective tensorial gravitational dynamics arise from this underlying scalar geometric structure.</p> <p>An emergent connection dynamics is introduced and its consistency conditions are examined. The resulting field equations are studied in the infrared regime, where an effective tensorial sector appears. The paper analyzes the structural conditions under which two propagating tensor degrees of freedom can be recovered and discusses the constraints required to avoid additional scalar instabilities.</p> <p>The infrared behavior of the theory is compared with standard General Relativity, and the circumstances under which Einstein-like dynamics emerge are examined. Conservation properties and geometric compatibility conditions are analyzed within the induced connection framework.</p> <p>This work forms part of a broader program in which spacetime geometry, quantum behavior(https://doi.org/10.5281/zenodo.18779307), and gauge structure arise from an entropy-Hessian geometric construction. The present paper focuses specifically on the gravitational sector and its tensorial recovery.</p> |
| title | Recovery of Tensorial Gravity from Entropy-Hessian Geometry |
| topic | Genral-relativity Entropy-Hessian geometry |
| url | https://doi.org/10.5281/zenodo.18780579 |