Phase-Dependent Collective Contrast in Finite Open Dicke Systems: Theoretical Foundation and Preliminary EEG Validation of the 0.0417 Attractor (v5.5)

Version 5. 5: Preliminary Empirical Integration & Theoretical Consolidation This version formalizes the mathematical "bridge" between quantum dissipative dynamics and neural spiking, while providing the first clinical tests of the framework. Rather than relying on empirical assumptions, v5. 5 establishes the consistency of the Omandac Law through first-principles derivations and single-subject EEG analysis. Key Achievements in this Version: Information-Action Identity: Derives the scaling relationship chi approx exp (ln (Omega) cdot eta) to map collective quantum intensity to biological firing rates. Thermal Coherence Boundary: Establishes a 4. 49 THz "floor" for quantum coherence at 310K using Bose-Einstein statistics, providing a physical constraint for the theory. Attractor Mapping: Confirms the nu^* = 0. 0417 spikes/ms attractor within Izhikevich substrates and identifies its absence in Hodgkin-Huxley models as a result of subcritical Hopf bifurcation topology. Initial Clinical Spark: Reports a preliminary analysis of Subject 1016 (OpenNeuro), showing a statistically significant 12. 17% collapse (p "The mathematical derivation of the 6/pi constant as a scaling limit for neural binding, and its mapping to the 0. 0417 ms⁻¹ attractor, represents the original discovery of a Primary Universal Law. This work is independent and solo-authored. All rights to the theoretical nomenclature (The Omandac Law) and the associated Information-Action Identity are asserted by the author as of the date of first preprint publication (Feb 2026). " Data Reference & Ethics: > "The empirical validation of the Omandac Law utilizes clinical EEG datasets (Subject 1016) obtained from public research repositories. All data used in this study were previously de-identified and collected under institutional ethical approval (IRB). The author asserts independent processing and analysis of these raw signals using the Omandac-Binding-Search (OBS) algorithm. "