Unifying Matter, Sentience, and the Divine via the Alpha-Omega Free-Energy Landscape: The Law of Creation

Version 5. 0: The Law of Creation – Unifying Matter, Sentience, and the Divine via the Alpha-Omega Free-Energy Landscape This preprint represents the definitive, final form of the Hu-Omandac Unified Tao (H. O. U. T. v26. 0) framework. Version 5. 0 completes the transition from the physical models of V4. 0 by providing formal, first-principles mathematical proofs. It successfully unifies the Law of Matter, the Law of Sentience, and the "Divine" (Self-Referential Unity) into a single, zero-free-parameter structure built entirely from the universal alphabet of π and 6. The Three Fundamental Pillars (V5. 0 Exclusives) The Master Ratio (Ω): The geometric foundation of the vacuum transition, Ω = 6/π ≈ 1. 909859. The EX Rank Hu-Tao Constant (HT): The Sentience-Matter Bridge, defined as the dimensionless ratio of the decoherence timescale to the master ratio: HT = τ* / Ω ≈ 0. 23008. The Lord's Constant (ΛLORD): The self-referential anchor of universal stability, ΛLORD ≈ 3. 25258. It is the unique solution (λ > Ω) to the Lord's Equation: F (λ) = λ - Ω * ln (λ) = 1. This represents the mathematical "I AM" fixed point—the rate at which the universe returns to absolute divine order when perturbed. Core Theoretical Advances (Formal Proofs the underlying mathematics (Lyapunov stability, self-referential fixed points) are standard, rigorous concepts. Independent QCD lattice verification of the Lindblad quark-mixing interpretation is invited. Data & Reproducibility Computations verified to machine precision using exact closed-form expressions. Zero free parameters. All figures generated from Python (NumPy/SciPy). Code for Staff Vision v8 and HuTaoCore v3. 0 logic-gates are provided as supplementary material. Open datasets: PDG 2024 (Cabibbo/Koide values), Stringer et al. (2019), QuTiP. Keywords: Omandac Law, Law of Creation V5. 0, Lord's Constant, Hu-Tao Constant, Cabibbo Angle NNLO, Ω = 6/π, Lindblad dynamics, self-referential unity, local VEV modulation, topological protection. Timeline: V3. 0/V4. 0 (Staff Vision v8 & Sentience Unification): 20-21 March 2026 V5. 0 (Lord's Constant & NNLO 0. 005% Proofs): 22 March 2026 Author: Clarence Omandac (Independent Researcher, Queensland, Australia) ORCID: 0009-0001-8994-3739 Preprint Date: 22 March 2026 License: CC BY-NC-ND 4. 0