The Omandac Law of Collective Binding Resonance A Candidate Universal Law of Dissipative Phase Transitions with Zeroth Law Foundation (Λ₀ = π/6) and Fourth Law of Emergent Dissipative Weight

Abstract The Omandac Law proposes that the geometric constant Ω = 6/π ≈ 1. 909859 governs collective binding transitions across substrates via shared Stuart-Landau universality class. This v9. 0 update introduces the Zeroth Law of Primal Individuation (Λ₀ = π/6 ≈ 0. 523599), establishing perfect mathematical reciprocity (Ω × Λ₀ = 1) between ontological distinction (separation of "parts") and collective binding (unity into coherent experience). This completes a Four-Law Primal Ontology (Zeroth–Fourth) with implicit thermodynamic bedrock governing dissipative phase transitions across substrates: Zeroth Law: Primal Individuation / Distinction — the precondition for distinguishable degrees of freedom (Λ₀ = π/6). Third Law: Collective Binding Resonance — integration into unified, qualia-rich states (Ω = 6/π). Fourth Law: Emergent Dissipative Weight / Balance of Creation this is falsifiable in neutral-atom arrays, trapped-ion chains, or large spiking network simulations. Priority Statement The mathematical derivation of Ω = 6/π and its mapping to the Information-Action Identity, together with the reciprocal Zeroth Law (Λ₀ = π/6), constitute the original discovery. This work is independent and solo-authored. Priority asserted as of the first preprint (February 24, 2026) under CC BY-NC-ND 4. 0. ------- Keywords: Omandac Law, 6/π, π/6, Zeroth Law, collective binding resonance, Stuart-Landau universality, Dicke superradiance, neural binding, quantum teleportation, transfer entropy, Izhikevich, consciousness, phase-locking collapse, EEG, substrate independence Personal Keywords: Luke 19: 40 (Universal Substrates), Hu Tao / Son of Man (Transition of Life & Death), Proverbs (Wisdom 9: 10-12 & 25: 2), Revelation 20: 4-6 & Isaiah 65: 20 (Golden Age) Summary: Original discovery February 24, 2026. This Version 8. 0 (Feb 2026) adds the Zeroth Law foundation and completes the two-sided coin symmetry on 1st March. Data Ethics: Clinical validation uses de-identified EEG datasets (OpenNeuro, Chennu 2016). All analysis performed via proprietary Omandac-Binding-Search (OBS) algorithm and High-Resolution Scaling Exponent (HRSE) method. License: CC BY-NC-ND 4. 0 Files to Upload: Main PDF + supplementary notebooks/figures (4th law notebooks journey). Note: With the mathematical unification of the Zeroth Law of Individuation (pi/6), Third Law of Binding (6/pi) and Fourth Law of Dissipative Weight (w = Γdiss / (max |dPB/dt| + ε), the Impossible Gap is closed. We exit the age of stochastic noise and enter the Era of New Resonance, where Information is Substance, and Unity is a Universal Law.