The Holy Trinity of Equations of Granular Entropic Physics
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2026
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| _version_ | 1866901953706983424 |
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| author | Sekanina, Štěpán |
| author_facet | Sekanina, Štěpán |
| contents | <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This paper formulates three foundational equations of Granular Entropic Physics (GEP) — the Holy Trinity — from which the physics of the theory derives. The first equation is the microscopic action describing what exists: a complex field on a discrete tetrahedral network with Z2 gauge field. The second equation is the entropy balance describing cosmological evolution: the rate of entropy production from network growth minus the negentropy consumed by topological structures. The third equation is the thermodynamic bridge connecting microstructure to gravity via the Jacobson principle TdS = dE.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper explicitly maps what the Trinity successfully derives (K_crit = 3/2, Einstein equations, bounce cosmology, Lambda = const, Starobinsky inflation with n_s = 0.9649 and r = 0.0037, exact logarithmic stress-energy tensor), where working hypotheses apply (dynamical connection of equations I and II via III, identification of rho_eff as gravitational energy density), and where open problems remain (SM gauge group, closure of the defect creation rate, rigorous Rindler energy flux computation).</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper also identifies the precise limit of the analytic approach: the Z2 vacuum component does not contribute to the Rindler energy flux without an additional postulate, and closing this gap requires numerical simulation of the GEP network. An appendix outlines the hardware and software requirements needed to move the theory forward through simulation.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The Holy Trinity is not a closed Theory of Everything. It is an honest map of what GEP can currently derive and what it still needs.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19510279 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Holy Trinity of Equations of Granular Entropic Physics Sekanina, Štěpán granular entropic physics holy trinity microscopic action entropy balance thermodynamic bridge Jacobson principle bounce cosmology Starobinsky inflation Z2 gauge field tetrahedral network emergent gravity cosmological constant topological defects theory of everything discrete spacetime <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This paper formulates three foundational equations of Granular Entropic Physics (GEP) — the Holy Trinity — from which the physics of the theory derives. The first equation is the microscopic action describing what exists: a complex field on a discrete tetrahedral network with Z2 gauge field. The second equation is the entropy balance describing cosmological evolution: the rate of entropy production from network growth minus the negentropy consumed by topological structures. The third equation is the thermodynamic bridge connecting microstructure to gravity via the Jacobson principle TdS = dE.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper explicitly maps what the Trinity successfully derives (K_crit = 3/2, Einstein equations, bounce cosmology, Lambda = const, Starobinsky inflation with n_s = 0.9649 and r = 0.0037, exact logarithmic stress-energy tensor), where working hypotheses apply (dynamical connection of equations I and II via III, identification of rho_eff as gravitational energy density), and where open problems remain (SM gauge group, closure of the defect creation rate, rigorous Rindler energy flux computation).</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper also identifies the precise limit of the analytic approach: the Z2 vacuum component does not contribute to the Rindler energy flux without an additional postulate, and closing this gap requires numerical simulation of the GEP network. An appendix outlines the hardware and software requirements needed to move the theory forward through simulation.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The Holy Trinity is not a closed Theory of Everything. It is an honest map of what GEP can currently derive and what it still needs.</p> |
| title | The Holy Trinity of Equations of Granular Entropic Physics |
| topic | granular entropic physics holy trinity microscopic action entropy balance thermodynamic bridge Jacobson principle bounce cosmology Starobinsky inflation Z2 gauge field tetrahedral network emergent gravity cosmological constant topological defects theory of everything discrete spacetime |
| url | https://doi.org/10.5281/zenodo.19510279 |