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| Format: | Recurso digital |
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2026
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| Accès en ligne: | https://doi.org/10.5281/zenodo.20038099 |
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| _version_ | 1866901979568013312 |
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| author | Bashan, Nadav |
| author_facet | Bashan, Nadav |
| contents | <p>A present-epoch horizon boundary condition is examined as a normalization condition for the gravitational coupling. The starting point is the relation Λ₀ R²_H,0 = π³/15, with R_H,0 = c/H₀, together with the horizon count N₀ = 4πR²_H,0/ℓ²_P. Since ℓ²_P = ℏG/c³, the resulting expression for G is not an independent derivation of Newton’s constant. It is instead a closure relation: once the boundary condition is imposed, G, Λ₀, and N₀ cannot be varied independently. The closure gives GΛ₀N₀ = 4π⁴c³/(15ℏ). Consequently, the Newtonian field of a spherical mass can be written as a horizon-normalized local field, g(r) = −4π⁴c³M/(15ℏΛ₀N₀r²) r̂. A local measurement of g, together with M and r, is therefore a measurement of G; in this framework it is equivalently a measurement of the closed combination Λ₀N₀. A second route is given by a boundary matching condition between the spherical radiative invariant and a photogravitational boundary invariant. This recovers the Newtonian surface relation g = GM/R² without claiming a derivation of the Poisson equation. The result is a horizon-normalized reading of local gravity, not a replacement for Newtonian gravity and not a new force law.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20038099 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Horizon Closure and the Normalization of Local Gravity Bashan, Nadav <p>A present-epoch horizon boundary condition is examined as a normalization condition for the gravitational coupling. The starting point is the relation Λ₀ R²_H,0 = π³/15, with R_H,0 = c/H₀, together with the horizon count N₀ = 4πR²_H,0/ℓ²_P. Since ℓ²_P = ℏG/c³, the resulting expression for G is not an independent derivation of Newton’s constant. It is instead a closure relation: once the boundary condition is imposed, G, Λ₀, and N₀ cannot be varied independently. The closure gives GΛ₀N₀ = 4π⁴c³/(15ℏ). Consequently, the Newtonian field of a spherical mass can be written as a horizon-normalized local field, g(r) = −4π⁴c³M/(15ℏΛ₀N₀r²) r̂. A local measurement of g, together with M and r, is therefore a measurement of G; in this framework it is equivalently a measurement of the closed combination Λ₀N₀. A second route is given by a boundary matching condition between the spherical radiative invariant and a photogravitational boundary invariant. This recovers the Newtonian surface relation g = GM/R² without claiming a derivation of the Poisson equation. The result is a horizon-normalized reading of local gravity, not a replacement for Newtonian gravity and not a new force law.</p> |
| title | Horizon Closure and the Normalization of Local Gravity |
| url | https://doi.org/10.5281/zenodo.20038099 |