Black Hole Entropy Corrections from Fractional Dynamics: Logarithmic Term c_log = −2/3 from Sephirotic Topology

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Authors: Carlos Freeman
Cited by: 6

Abstract

We derive black hole entropy corrections from the MPFST fractional Laplacian with alpha=6/5 on the Sephirotic graph. The logarithmic correction c_log = -2/3 matches Asymptotic Safety gravity independently, while being distinct from LQG (-3/2) and string theory (-1/2). v2: Added dedicated section on convergence with Asymptotic Safety — two fundamentally different frameworks (discrete topology vs continuum RG) independently converge on identical predictions, suggesting a deeper mathematical structure. Zero free parameters.Author correction (June 2026): The abstract writes the logarithmic entropy coefficient as c_log = −(d/α − 1). The intended derivation (body, Eqs. 4–6) is c_log = −(d_s/2 − 1) with spectral dimension d_s = 2d/α = 10/3 on the two-dimensional horizon, giving c_log = −2/3. The result −2/3 and the evaporation scaling τ ∝ M^(10/3) are unchanged.

Fields of Study & Subjects

Black Holes and Theoretical Physics Noncommutative and Quantum Gravity Theories High-Energy Particle Collisions Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
10 March 2026