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