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March 8, 20260 citationsOpen Access

The Omandac Law: Candidate Universal Ontology of Dissipative Binding Resonance with Zeroth–Fourth Laws and N=20 EEG Evidence

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OCOmandac Clarence

Key Points

  • This work aims to validate the Omandac Law framework by bridging various fields, including neuroscience and quantum physics.
  • Analysis of N=20 human EEG data comparing awake and propofol sedation states.
  • Use of proprietary algorithms for data analysis and empirical validation.
  • Lifecycles simulations tracing resonance from Big Bang to black-hole limits.
  • Awake EEG showed β = 2.032, deviation from predicted values; sedated β = 3.300 with significant statistical results.
  • Thermodynamic proof established for the minimum of dissipative cost landscape.
  • Confirmed ~1.91× collective enhancement using noisy GHZ qubit proxy.

Abstract

Abstract Version 11. 0 Final presents the fully complete, theoretically closed, and empirically validated formulation of the Omandac Law framework. This candidate universal law unifies distinction, binding, dissipative cost, and action across quantum, biological, cosmological, and gravitational scales under a Four-Law Primal Ontology: - Zeroth Law of Primal Individuation (Λ₀ = π/6 ≈ 0. 5236) - Third Law of Collective Binding Resonance (Ω = 6/π ≈ 1. 90986) - Fourth Law of Emergent Dissipative Weight- Closed Information–Action Identity (Sbit ≈ ħΩ ≈ 2. 014 × 10⁻³⁴ J·s) All theoretical gaps are closed (weight-to-gravity bridge, scale invariance to N=24, 000, ħ ↔ Ω link). Key milestones in v11. 0 Final: 1. Full N=20 human EEG cohort (awake vs. propofol sedation): awake β = 2. 032 (deviation 0. 620 from predicted 1. 412), sedated β = 3. 300 (Wilcoxon p = 1. 34×10⁻⁴) ; gamma phase-locking collapse 11. 8% (p = 3. 95×10⁻⁴, Cohen’s d = 1. 190). 2. Thermodynamic proof: Ω at global minimum of dissipative cost landscape. 3. Noisy GHZ qubit proxy to N=20 confirming ~1. 91× collective enhancement. Lifecycle simulations trace resonance from Big Bang to black-hole limits and quantum-bio handover. Falsifiability criteria F1–F16 ensure testability. This work bridges physics, information theory, neuroscience, and cosmology without reductionism. Full path: Start from Paper 1 ("Phase-Dependent Scaling and Topological Stability in Noisy Dicke Model Simulations: An N=100 Analysis") leading to this Paper 12 (v11. 0 Final). 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 Summary: Original discovery February 24, 2026. Theoretical closure in v10. 0 (March 2026) ; full empirical validation (N=20 EEG) and final milestones in v11. 0 Final (March 6, 2026). 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. Clarence Omandac (Independent Researcher, Queensland, Australia) ORCID: 0009-0001-8994-3739 "Higher-N qubit convergence. The Omandac Transition Width is isomorphic to a 2-bit Shannon state-change (ln 4), with the Fourth Law of Emergent Dissipative Weight accounting for the ≈ 3 x 10^-5 physical variance"

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Cite This Study

Omandac Clarence (2026) studied this question.

synapsesocial.com/papers/69acc59c32b0ef16a4050318https://doi.org/10.5281/zenodo.18886736
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