The Holographic Boundary Principle: A Geometric Normalization from Stellar Photospheres to the Cosmic Horizon
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2026
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| author | Bashan, Nadav |
| author_facet | Bashan, Nadav |
| contents | <p>Astrophysical measurements are anchored in 2D radiative decoupling surfaces, the loci where photons escape and propagate freely, providing direct operational access to physical systems. In this Letter, we formalize radiative decoupling as a geometric boundary condition. By coupling radiative observables with Newtonian surface gravity, we define a dimensionless boundary relation. Under standard macroscopic closures, mass and bulk gravity cancel, reducing the relation to an exact mass-independent geometric phase-space capacity, . Observationally, using independently determined solar inputs and a kinematic sample of 190 detached eclipsing binaries, we find stellar photospheres to cluster below this theoretical upper bound. Projecting this 2D surface normalization to the cosmic horizon yields a master equation, . This identity yields a geometric derivation for the dark energy fraction, , without parameter tuning. Encoding this constraint into a mini-superspace action recovers the Friedmann expansion rate and the Bekenstein–Hawking entropy scaling . The canonical vacuum discrepancy is thus strictly reframed as the dimensional area-scaling ratio bridging the macroscopic horizon and the microscopic Planck scale. Finally, modeling the transition from a continuous primordial fluid to a discrete late-time void network via 3D optimal sphere packing intrinsically generates structural gaps, mandating a kinematic metric stretch of .</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18735609 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | The Holographic Boundary Principle: A Geometric Normalization from Stellar Photospheres to the Cosmic Horizon Bashan, Nadav <p>Astrophysical measurements are anchored in 2D radiative decoupling surfaces, the loci where photons escape and propagate freely, providing direct operational access to physical systems. In this Letter, we formalize radiative decoupling as a geometric boundary condition. By coupling radiative observables with Newtonian surface gravity, we define a dimensionless boundary relation. Under standard macroscopic closures, mass and bulk gravity cancel, reducing the relation to an exact mass-independent geometric phase-space capacity, . Observationally, using independently determined solar inputs and a kinematic sample of 190 detached eclipsing binaries, we find stellar photospheres to cluster below this theoretical upper bound. Projecting this 2D surface normalization to the cosmic horizon yields a master equation, . This identity yields a geometric derivation for the dark energy fraction, , without parameter tuning. Encoding this constraint into a mini-superspace action recovers the Friedmann expansion rate and the Bekenstein–Hawking entropy scaling . The canonical vacuum discrepancy is thus strictly reframed as the dimensional area-scaling ratio bridging the macroscopic horizon and the microscopic Planck scale. Finally, modeling the transition from a continuous primordial fluid to a discrete late-time void network via 3D optimal sphere packing intrinsically generates structural gaps, mandating a kinematic metric stretch of .</p> |
| title | The Holographic Boundary Principle: A Geometric Normalization from Stellar Photospheres to the Cosmic Horizon |
| url | https://doi.org/10.5281/zenodo.18735609 |