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

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Authors: Carlos Freeman
Cited by: 2

Abstract

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).

Fields of Study & Subjects

Functional Brain Connectivity Studies Neural dynamics and brain function Advanced Neuroimaging Techniques and Applications

Publication details

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