Orbit-0 Weak Keys in AES-128: Additive Subgroup, Teichmuller Lifting, and the p=17 Hida Ordinary Condition
v3 (Corrigendum + Biomedical Extension). CORRECTION: Lo-Shu singular values corrected from (6.708, 3.317) to exact values (6*sqrt(3)=6.9282, 3*sqrt(3)=3.4641). LSP weights corrected: alpha=0.5907, beta=0.2728, gamma=0.1364. Core result sigma_2/sigma_3=2 (exact integer) is UNCHANGED. NEW (Section 5): Biomedical signal extension. The GF(2^8) Sylow-17 structure partitions physiological signals into arithmetic equilibrium (Z/15Z, order divides 15) and transition states (Sylow-17 component present). Blood glucose: pure equilibrium band = 80-93 mg/dL; 99 mg/dL (0x63=SBOX[0x00], order 17) is the unique Sylow-17 critical boundary coinciding with ADA prediabetes threshold. EEG: alpha-band pure equilibrium frequencies = 8.0, 8.1, 9.2, 9.3 Hz; gamma-band has no pure equilibrium frequencies. Introduces Arithmetic Orbit Trajectory (AOT) framework for time-series analysis.
Authors
- Yao-Kai Kao
Institutions
- Allen Institute for Brain Science (US)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-31
- DOI
- https://doi.org/10.5281/zenodo.20476973
- Primary Topic
- Heart Rate Variability and Autonomic Control
- Type
- preprint