The Scaling Closure Theorem: Fisher Curvature Exponents from CFT Structure at Statistical Critical Points

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

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Authors: Maxim Zhuravlev
DOI: 10.5281/zenodo.19049935
Cited by: 0

Abstract

Paper #10 of the Fisher Information Geometry research program. Proves the Scaling Closure Theorem: d_R = (d*nu + 2*eta)/(d*nu + eta) for the Fisher curvature scaling exponent at statistical critical points. The proof proceeds from five structural assumptions (A1-A5) grounded in conformal field theory and information geometry. Universality verified across 8 CFT classes. Updated: SciPost Physics submission-ready version with 20+ pre-submission audit fixes, line numbers, ORCID, and keywords.

Fields of Study & Subjects

Theoretical and Computational Physics Statistical Mechanics and Entropy Black Holes and Theoretical Physics

Publication details

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