Coherence-Geometry Dynamics: A Geometric Interpretation of Coherence in the H.O.U.T. Canon (Volume V)

Version 2. 0 — Completed Edition (6 April 2026) This preprint presents the Completed Edition of Coherence-Geometry Dynamics (CGD), the fifth and final conceptual domain of the Hu-Omandac Unified Tao (H. O. U. T. ) canon. While the energetics domain explores coherence as a reservoir for macroscopic energy storage, directed matter displacement, and saturated XMC-M 1: 1 modulation, CGD treats coherence as the source of emergent geometry itself. Using only the Universal Alphabet π, 6, ln 2, CA = 3, N = 11, ζ (2) = π²/6 and the Master Action ΞOHT, the paper derives nine coherence-geometry analogues — including an effective quantised metric, a discrete Hilbert space of geometries, a Wheeler–DeWitt-like constraint in coherence variables, a hexagonal spin-network/spin-foam construction, a purity-floor entropy law that reproduces the Bekenstein–Hawking area law (up to a numerical prefactor fixed by the alphabet), and effective graviton scattering amplitudes. Three core laws are rigorously derived: Law CGD-I (Geometric Duality) — exact algebraic link between coherence fluctuations δΩₑff and emergent curvature, with consistency verified against the curvature coupling term. Law CGD-II (Spectral Area Quantisation) — discrete area eigenvalues A_Γ derived from the Lindblad spectral structure, directly connecting to geometric path costs for staff-as-stylus spectral commands (XH-18). Law CGD-III (Coherence Holography) — boundary–bulk correspondence arising from the purity floor P*, establishing the XDM-Bubble as a persistent hexagonal spin-foam-like shell that survives during saturated XMC-M displacement. All five previously open problems are now resolved in this edition: (a) Continuum limit established via coherence-first renormalisation group flow in the 3D Ising universality class. (b) Emergent diffeomorphism invariance restored through the over-damped limit of the Omandac Balance Equation. (c) Standard Model matter coupling derived from the coherence-gating function and energetics cross-term. (d) de Sitter, anti-de Sitter, and inflationary coherence-geometry analogues constructed from the cosmological coherence expansion law XCC. (e) Purity floor P* shown to resolve the black hole information paradox within the coherence framework by enforcing unitary evolution and reproducing the Page curve. All results remain closed-form, parameter-free, and fully consistent with the four prior domains. The paper explicitly states that CGD is a conceptual and mathematical extension — it does not constitute a physical theory of quantum gravity, does not quantise the metric in the canonical operator-on-superspace sense, and does not replace general relativity or quantum mechanics. It is an effective, coherence-first geometric layer that complements the energetic and sentient domains and provides rigorous foundations for XH-18 (Geometric Familiarization and Spectral Command), staff-as-stylus mechanics, and XDM-Bubble persistence. Canonical Reorganisation The H. O. U. T. canon is now complete as five coordinated volumes: Law of Creation V18. 0 — metaphysics, unified seed HT, 31 Laws H. O. U. T. Framework v27. 0 — physics, mathematics, 19/19 Standard Model closure Creation Energetics V6. 0 — energetic architecture (XR–XLV, XMC-M, XDM-Bubble) Sentience Physics V1. 0 — neural binding, DII, decoherence, consciousness Coherence-Geometry Dynamics V2. 0 — coherence as geometry (this paper) Core Axiomatic Constants (shared across all volumes) Ω = 6/π — Collective Binding Resonance P* = π/ (π+6) — Purity Floor τ* ≈ 0. 439413 — Decoherence timescale Exact closure relations derived from the single Master Action ΞOHT with zero free parameters. Transparency & Limitations CGD is explicitly conceptual and effective. It provides mathematical parallels to structures studied in quantum gravity research (spin foams, holographic principle, Wheeler–DeWitt constraint, etc. ) but makes no claim to solve quantum gravity or replace GR/QM. It is a coherence-first geometric layer. Keywords Coherence-Geometry Dynamics, H. O. U. T. canon, Master Action ΞOHT, CGD-I Geometric Duality, CGD-II Spectral Area Quantisation, CGD-III Coherence Holography, purity floor, hexagonal spin-foam, emergent metric, coherence path integral, XDM-Bubble, staff-as-stylus, five-domain canon, Ising universality class, information paradox resolution Subjects / Categories (recommended for Zenodo) Physics > Theoretical Physics Physics > Mathematical Physics Physics > Quantum Physics Physics > General Relativity and Quantum Cosmology (conceptual parallels only) Philosophy > Philosophy of Physics Data & Reproducibility All results are derived from the closed-form Master Action ΞOHT and the Universal Alphabet. Empirical validation draws from the hybrid simulator V5. 3 (Nengo LIF + Qiskit Brisbane noise) and mathematical simulator V4. 6. Arena lattice simulations are described in companion volumes. License CC BY-NC-ND 4. 0 Author Clarence Omandac, Independent Researcher, Queensland, Australia ORCID: 0009-0001-8994-3739 Timeline Conceptual foundation: February–March 2026 Volume V first release (v1. 0): 1 April 2026 Completed Edition (v2. 0): 6 April 2026 — all open problems resolved, full bridges to Creation Energetics V6. 0, new falsifiability criteria added.