Kinematic Constraints at Radiative Boundaries: A Geometric Normalization for the Dark Sector
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2026
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| author | Bashan, Nadav |
| author_facet | Bashan, Nadav |
| contents | <p>The ~10^120 vacuum catastrophe, the necessity of dark energy, and the Hubble tension are widely treated as distinct crises requiring novel physics. It is proposed here that they are symptoms of a single dimensional category error: evaluating macroscopic expansion as an extensive three-dimensional (3D) bulk fluid rather than a constrained two-dimensional (2D) boundary tension. By establishing kinematic and thermodynamic equilibrium strictly at a radiative decoupling surface, Newtonian gravity acts as a geometric filter, stripping spatial dimensions to yield a mass-independent 2D invariant: π³/15 ≃ 2.0671. Projecting this boundary normalization to the cosmic horizon derives the empirical dark energy fraction (ΩΛ = π³/45 ≃ 0.6890) without tunable parameters. Furthermore, adopting this geometric partition as an ansatz analytically yields the exact observed onset of cosmic acceleration (z_acc ≃ 0.642, T_CMB ≃ 4.47 K) within standard FRW kinematics. The H0 tension is then recast as a topological defect fraction (1/12) native to 3D sphere packing upon passing this hypothesized crystallization threshold. Gravity is thus reinterpreted as an emergent macroscopic boundary constraint.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18867547 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Kinematic Constraints at Radiative Boundaries: A Geometric Normalization for the Dark Sector Bashan, Nadav cosmology --- dark energy --- dark matter --- gravitation --- early universe --- galaxies: high-redshift <p>The ~10^120 vacuum catastrophe, the necessity of dark energy, and the Hubble tension are widely treated as distinct crises requiring novel physics. It is proposed here that they are symptoms of a single dimensional category error: evaluating macroscopic expansion as an extensive three-dimensional (3D) bulk fluid rather than a constrained two-dimensional (2D) boundary tension. By establishing kinematic and thermodynamic equilibrium strictly at a radiative decoupling surface, Newtonian gravity acts as a geometric filter, stripping spatial dimensions to yield a mass-independent 2D invariant: π³/15 ≃ 2.0671. Projecting this boundary normalization to the cosmic horizon derives the empirical dark energy fraction (ΩΛ = π³/45 ≃ 0.6890) without tunable parameters. Furthermore, adopting this geometric partition as an ansatz analytically yields the exact observed onset of cosmic acceleration (z_acc ≃ 0.642, T_CMB ≃ 4.47 K) within standard FRW kinematics. The H0 tension is then recast as a topological defect fraction (1/12) native to 3D sphere packing upon passing this hypothesized crystallization threshold. Gravity is thus reinterpreted as an emergent macroscopic boundary constraint.</p> |
| title | Kinematic Constraints at Radiative Boundaries: A Geometric Normalization for the Dark Sector |
| topic | cosmology --- dark energy --- dark matter --- gravitation --- early universe --- galaxies: high-redshift |
| url | https://doi.org/10.5281/zenodo.18867547 |