Published March 10, 2026
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Black Hole Entropy Corrections from Fractional Dynamics: Logarithmic Term c_log = -2/3 from Sephirotic Topology
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The fractional Laplacian with topologically derived exponent α=6/5 modifies the near-horizon heat kernel, yielding logarithmic entropy correction c_log = -(d/α-1) = -2/3. This matches asymptotic safety (Becker & Reuter 2012) exactly while being distinct from LQG (-3/2) and strings (-1/2). Same formula that predicted qubit decoherence scaling. Novel predictions: upward spectral dimension flow, Mittag-Leffler QNM tails (already validated at 3.7σ by GW data), and M^{10/3} evaporation. Zero free parameters.
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bh_entropy_fractional.pdf
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- Cites
- 10.5281/zenodo.18897608 (DOI)
- 10.5281/zenodo.18897605 (DOI)
- 10.5281/zenodo.18885452 (DOI)
- Is part of
- 10.5281/zenodo.18898117 (DOI)