Geometry from Information: Schwarzschild Extension — Weyl Corrections and Kernel Hierarchy

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: David Gogishvili
DOI: 10.5281/zenodo.19028057
Cited by: 0

Abstract

We extend the Geometry from Information (GFI) programme to the Schwarzschild background by studying the relative entropy Hessian with respect to the Hartle-Hawking reference state. Using the Seeley-DeWitt heat kernel expansion and the anomalous effective action, we identify a Weyl-type correction to the gravitational kernel. The Weyl coefficient satisfies β(M)|horizon = T²H/15. Open Problem OP-1 is resolved via the Regge-Wheeler eigenvalue structure.

Fields of Study & Subjects

Black Holes and Theoretical Physics Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
15 March 2026
Language
EN
Document type
Preprint