A Universal 73/27 Information–Geometry Split in Black Holes: An RTLI Prediction from the Relational Triangle (Data included for reproducibility)
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2025
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| _version_ | 1866901589655027712 |
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| author | De Jesus, Elias |
| author_facet | De Jesus, Elias |
| contents | <p>This note introduces a universal and parameter-free prediction for the distribution of information in black holes, derived from the Relational Thermodynamic Layered Index (RTLI) framework. Using the RTLI relational triangle <span>(\sqrt{e}, q, \lambda)</span>, I show that a black hole’s information-carrying capacity divides into two channels with fixed, dimensionless weights:</p> <p><span>w_{\rm geo} \approx 0.73, \qquad w_{\rm quan} \approx 0.27, \qquad \cos\theta_c \approx 0.885.</span></p> <p>The geometric channel corresponds to interior + near-horizon degrees of freedom (soft hair, islands, QES regions), while the quantum channel corresponds to Hawking radiation and exterior modes. This 73/27 split arises from the same universal coherence geometry that governs the RTLI corridor and is independent of the black hole’s mass, spin, or environment.</p> <p>I show that the RTLI capacity split is consistent with the structure of generalized entropy in modern black-hole physics and fits naturally with Page-curve dynamics, but represents a new invariant: a static relational capacity ratio, not a dynamical entropy curve.</p> <p>The framework yields several testable predictions, including island-formation thresholds, radiation-growth rates, and complex-plane QNM angle clustering at <span>20^\circ</span> and <span>40^\circ</span>. This note frames the 73/27 partition as a new geometric invariant connecting coherence physics, holography, and the black-hole information problem.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17849697 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Universal 73/27 Information–Geometry Split in Black Holes: An RTLI Prediction from the Relational Triangle (Data included for reproducibility) De Jesus, Elias RTLI, black-hole information paradox, coherence geometry, relational physics, information capacity, soft hair, quantum extremal surfaces, islands, Page curve, holography, generalized entropy, quasinormal modes, QES, universal constants, dimensional flow, RTLI corridor, coherence threshold, relational triangle, universal ratios, geometric channel vs quantum channel, entropy structure <p>This note introduces a universal and parameter-free prediction for the distribution of information in black holes, derived from the Relational Thermodynamic Layered Index (RTLI) framework. Using the RTLI relational triangle <span>(\sqrt{e}, q, \lambda)</span>, I show that a black hole’s information-carrying capacity divides into two channels with fixed, dimensionless weights:</p> <p><span>w_{\rm geo} \approx 0.73, \qquad w_{\rm quan} \approx 0.27, \qquad \cos\theta_c \approx 0.885.</span></p> <p>The geometric channel corresponds to interior + near-horizon degrees of freedom (soft hair, islands, QES regions), while the quantum channel corresponds to Hawking radiation and exterior modes. This 73/27 split arises from the same universal coherence geometry that governs the RTLI corridor and is independent of the black hole’s mass, spin, or environment.</p> <p>I show that the RTLI capacity split is consistent with the structure of generalized entropy in modern black-hole physics and fits naturally with Page-curve dynamics, but represents a new invariant: a static relational capacity ratio, not a dynamical entropy curve.</p> <p>The framework yields several testable predictions, including island-formation thresholds, radiation-growth rates, and complex-plane QNM angle clustering at <span>20^\circ</span> and <span>40^\circ</span>. This note frames the 73/27 partition as a new geometric invariant connecting coherence physics, holography, and the black-hole information problem.</p> |
| title | A Universal 73/27 Information–Geometry Split in Black Holes: An RTLI Prediction from the Relational Triangle (Data included for reproducibility) |
| topic | RTLI, black-hole information paradox, coherence geometry, relational physics, information capacity, soft hair, quantum extremal surfaces, islands, Page curve, holography, generalized entropy, quasinormal modes, QES, universal constants, dimensional flow, RTLI corridor, coherence threshold, relational triangle, universal ratios, geometric channel vs quantum channel, entropy structure |
| url | https://doi.org/10.5281/zenodo.17849697 |