Kerr Universality Patch: Effective Horizon Scale and Spectral Gap Invariance in Rotating Spacetimes Resource Type: Software / Technical Note
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| Format: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901697593344000 |
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| author | Gogishvili, David |
| author_facet | Gogishvili, David |
| contents | <blockquote> <p dir="ltr">This technical supplement (patch) for the GFI Kerr_v3 framework establishes the "Universality Postulate" for the graviton spectral gap in rotating black hole geometries. It introduces the effective horizon scale r_{\mathrm{eff}} = r_+ \sqrt{GM/b}, which incorporates frame-dragging effects via the horizon Lorentz factor \gamma_H = GM/b.</p> <p dir="ltr">The patch demonstrates that by adopting this effective scale, the Jones-index coefficient \alpha remains a universal topological invariant, independent of the angular momentum a. This result ensures the consistency of the spectral derivation of G_N across the full Kerr metric range. The document provides specific updates for the "Open Problems" section (OP-5) of the Kerr_v3 paper and defines testable numerical predictions for Teukolsky spectral analysis.</p> </blockquote> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19201476 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Kerr Universality Patch: Effective Horizon Scale and Spectral Gap Invariance in Rotating Spacetimes Resource Type: Software / Technical Note Gogishvili, David Kerr Metric Frame-dragging Effective Horizon Scale (r_{\mathrm{eff}}) Universality Postulate Jones Index Spectral Gap Black Hole Thermodynamics GFI (Geometric Fundamental Interactions) <blockquote> <p dir="ltr">This technical supplement (patch) for the GFI Kerr_v3 framework establishes the "Universality Postulate" for the graviton spectral gap in rotating black hole geometries. It introduces the effective horizon scale r_{\mathrm{eff}} = r_+ \sqrt{GM/b}, which incorporates frame-dragging effects via the horizon Lorentz factor \gamma_H = GM/b.</p> <p dir="ltr">The patch demonstrates that by adopting this effective scale, the Jones-index coefficient \alpha remains a universal topological invariant, independent of the angular momentum a. This result ensures the consistency of the spectral derivation of G_N across the full Kerr metric range. The document provides specific updates for the "Open Problems" section (OP-5) of the Kerr_v3 paper and defines testable numerical predictions for Teukolsky spectral analysis.</p> </blockquote> |
| title | Kerr Universality Patch: Effective Horizon Scale and Spectral Gap Invariance in Rotating Spacetimes Resource Type: Software / Technical Note |
| topic | Kerr Metric Frame-dragging Effective Horizon Scale (r_{\mathrm{eff}}) Universality Postulate Jones Index Spectral Gap Black Hole Thermodynamics GFI (Geometric Fundamental Interactions) |
| url | https://doi.org/10.5281/zenodo.19201476 |