Geometry from Information: Reissner-Nordström Extension — Charge Suppression, Universal β/T²_H = 1/15, and the Ricci-Weyl Decomposition Principle
Abstract
We extend the Geometry from Information (GFI) programme to the Reissner-Nordström charged black hole. The Hartle-Hawking state exists on RN (unlike Kerr). Main result: β(M,Q,r) = (GMr-Q²)²/[60π²r⁶] = (GM)²/[60π²r⁴]·(1-Q²/GMr)². Three results: (i) charge suppression — electric charge weakens the Weyl correction; (ii) universal β_H/T²_H = 1/15 for all Q (same as Schwarzschild); (iii) Universal GFI Principle: β = |Ψ₂|²·r²/60π², valid for Schwarzschild, Kerr, and RN. The GFI kernel splits exactly along the Ricci-Weyl decomposition of the Riemann tensor. Companion papers: Schwarzschild DOI 10.5281/zenodo.19029740, Kerr DOI 10.5281/zenodo.19031222.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Relativity and Gravitational Theory
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN