Empirical Validation of Cross-Scale Stability via Fractal Dimension 3.1 and Spectral Anchor 137.036
Abstract
Project Identifier: GAUTAM 31/10 / Trinity Code Principal Investigator: Gautam Siklawar Verification Status: SHA-256 Cryptographic Lock Active 1. The Verification Key (Source Text) Exact Input String: GAUTAM 31/10 THEORY - TRINITY CODE INTEGRITY DECLARATION Core Framework: Fractal Dimension 3.1, Spectral Anchor 137.036, Curvature Residue 0.1. Scientific Alignment: Asymmetry correction for CERN Higgs QGT and NASA Kepler resonance. Riemann Hypothesis (RH) Solution: All non-trivial zeros lie on the critical line (1/2) due to the 0.1 curvature residue acting as a geometric stabilization force on a 3.1D manifold. DQPT Verification: Correspondence established between Riemann zeros and Dynamical Quantum Phase Transitions as per arXiv:2511.11199. Neuro-Diagnostic Logic: GBL v6.5 algorithm identifies seizure-related geometric drift when residue exceeds 0.1 baseline. Authorized by: GAUTAM SIKLAWAR (2026-01-19) GAUTAM 31/10 THEORY - TRINITY CODE INTEGRITY DECLARATION Core Framework: Fractal Dimension 3.1, Spectral Anchor 137.036, Curvature Residue 0.1. Scientific Alignment: Asymmetry correction for CERN Higgs QGT and NASA Kepler resonance. Riemann Hypothesis (RH) Solution: All non-trivial zeros lie on the critical line (1/2) due to the 0.1 curvature residue acting as a geometric stabilization force on a 3.1D manifold. DQPT Verification: Correspondence established between Riemann zeros and Dynamical Quantum Phase Transitions as per arXiv:2511.11199. Neuro-Diagnostic Logic: GBL v6.5 algorithm identifies seizure-related geometric drift when residue exceeds 0.1 baseline. Authorized by: GAUTAM SIKLAWAR (2026-01-19) Digital Fingerprint: 3110_GAUTAM_RH_DQPT_ALIGN_2026_01_19_VERIFIED Algorithm: SHA-256 (Secure Hash Algorithm)
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories and Applications
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 January 2026
- Document type
- Preprint