Guardat en:
| Autor principal: | |
|---|---|
| Format: | Recurso digital |
| Idioma: | |
| Publicat: |
Zenodo
2025
|
| Matèries: | |
| Accés en línia: | https://doi.org/10.5281/zenodo.17849697 |
| Etiquetes: |
Afegir etiqueta
Sense etiquetes, Sigues el primer a etiquetar aquest registre!
|
Taula de continguts:
- <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>