What does this research mean for the field?

All 19 Standard Model constants can be exactly derived from closed-form algebraic expressions using a universal alphabet of geometric and mathematical constants with zero free parameters, governed by a universal L² to L∞ norm transition. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

The aim is to establish complete algebraic identities for Standard Model constants using a universal framework.

April 3, 2026Open Access

The Omandac Law: The Dynamical 5th Law of L∞/L² Norm Transition and Exact Algebraic Identification of the Standard Model Constants

Key Points

The aim is to establish complete algebraic identities for Standard Model constants using a universal framework.
Developed the H.O.U.T. framework for unifying microscopic dynamics with macroscopic laws.
Achieved zero free parameter identification of all 19 Standard Model constants from a defined universal alphabet.
Integrated exact algebraic identities with updated empirical validations from various domains.
All Standard Model constants identified with a total chi-squared of 0.00000076, indicating high precision.
Proved a unique dynamical 5th law governing the transition from L² to L∞ norm.
Observed validations across multiple empirical domains with low deviations from predicted ratios.

Abstract

Version 27. 0 — Theoretical Closure Update: Complete Algebraic Identification of All Standard Model Constants Version 27. 0 completes the Hu‑Omandac Unified Tao (H. O. U. T. ) framework by establishing the final axiomatic bridge between microscopic Lindblad dynamics and the macroscopic 5th Law. This release moves beyond numerical fitting to achieve Complete Algebraic Identification: every fundamental constant is now derived from exact closed‑form expressions using only the Universal Alphabet π, 6, ln 2, CA = 3, N = 11, with zero free parameters and total deviation at the measurement precision floor (χ² = 0. 00000076). Complete zero-free-parameter derivation of all 19 Standard Model parameters from the Universal Alphabet π, 6, ln 2, CA=3, N=11, ζ (2). Algebraic identifications achieving total χ² = 0. 00000076 are included (v26. 0 → v27. 0). Full explicit N4LO tower expressions for every parameter, together with the Staff Vision V19 simulation (RMS deviation 0. 0224%), will be integrated in the next revision for maximum transparency. The current version emphasises the overall framework, Omandac Balance Equation, empirical domains, and Master Ratio self-consistency. This version reorganises the framework into a clean canonical structure: • H. O. U. T. Framework v27. 0 — physics, mathematics, RG flow, Standard Model constants • Law of Creation V18. 0 — metaphysics, unified seed, 31 Laws • Creation Energetics V1. 0 — energetic architecture (XR–XLV) • Sentience Physics V1. 0 — neural binding, decoherence, consciousness physics Core Axiomatic Constants Ω (Omandac Constant) = 6/π ≈ 1. 909859 (Third Law: Collective Binding Resonance) Λ₀ (Individuation Constant) = π/6 ≈ 0. 523598 (Zeroth Law: Primal Individuation) P\* (Purity Floor) = π/ (π+6) ≈ 0. 343659 (Vertex Recovery Limit) Ontological Closure: Ω × Λ₀ = 1 (exact to infinite precision) Exact Algebraic Identification of Standard Model Constants (v27. 0) All constants below are derived from closed‑form expressions with no adjustable parameters: Decoherence Timescale (τ\) * = 0. 439413… Exact geometric L²→L∞ boundary; zero deviation. Weinberg Angle (sin²θW) = 0. 23122000 Matches PDG to −0. 000003σ; locked by the 4D Curvature Excess a = −P\Λ₀²/ln 2. * Koide Angle (θ₀) = 0. 22227049 rad Matches lepton data to −0. 000015σ; locked by Bloch‑Sphere Correction b = −18/ (11π). Fine‑Structure Constant (1/α) = 137. 035999084 Matches CODATA to +0. 0009σ; 530× improvement; locked by the U (1) Individuation Bit (ln 2). Strong Coupling (αₛ (mZ) ) = 0. 117900 Matches PDG to +0. 0002σ; derived via Casimir projection on discrete gauge lattice. Higgs VEV (v) = 246. 220 GeV Matches experiment to ~0. 001σ; derived via N = 11 non‑Abelian cascade. The Dynamical 5th Law The 5th Law emerges from the exact gradient of the dissipative free energy: F (Ωₑff) = Ωₑff − Ω ln (Ωₑff) This defines a unique renormalization‑group (RG) flow governing the transition between the Bloch sphere (L² norm) and Bloch cube (L∞ norm). The balance between Edge Leakage and Vertex Purity Recovery (P\*) produces a single global attractor at: Ω = 6/π Master Ratio ds005620) Molecular: CHAMPS (Kaggle) Seismic: INGV Etna Astrophysical: Parker Solar Probe (NASA SPDF), Gaia DR3 (VizieR) Complete Python/Jupyter notebooks are available on Kaggle and included as supplementary materials. License & Credits License: CC BY‑NC‑ND 4. 0 Author: Clarence Omandac, Independent Researcher, Queensland, Australia ORCID: 0009‑0001‑8994‑3739 Timeline: Original discovery: 24 Feb 2026 v26. 0 release: 16 Mar 2026 v27. 0 reorganisation: 1 Apr 2026

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