Region-Dependent Spectral Exponents in Human Intracranial EEG: Evidence for Sephirotic Eigenvalue Mapping

v2 (2026-03-30): Corrects the eigenvalue spectrum to the canonical 11-node Sephirotic graph from Paper 9 (24 edges including horizontal bridges Ch-Bi, Cs-Gv, Nz-Hd). Replaces direct-proximity matching with the physically derived mapping beta_k = 2*alpha/lambda_k from Mittag-Leffler relaxation of the fractional PDE. All observed data values are unchanged. The corrected model yields chi-squared = 0.74 (df=6, p = 0.994) with zero free parameters.

We analyze 1,151 intracranial EEG channels across two independent datasets and show that the 1/f spectral exponent beta varies systematically by brain region. The MPFST fractional PDE with alpha = 6/5 predicts mode-dependent spectral exponents, where lambda_k are eigenvalues of the canonical 11-node Sephirotic graph Laplacian. All six anatomical regions fall within 1-sigma of predicted values. Kruskal-Wallis test yields H = 68.68 (p = 1.93e-13).