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This study aims to achieve complete theoretical closure of the Coherence Quantised Gravitation framework by addressing gaps from prior versions.

June 6, 2026Open Access

Coherence Quantised Gravitation: Dynamical Field & Scale Unification

Key Points

This study aims to achieve complete theoretical closure of the Coherence Quantised Gravitation framework by addressing gaps from prior versions.
Derivations from first principles including Lindblad spectral decomposition and BPHZ bounds.
Mathematical proofs and numerical verification conducted using Python.
Explicit mathematical formulations and operational thresholds determined for physical constants.
All five gaps from V4.0 closed with rigorous derivations.
Effective Newton constant (Geff) modified yielding new insights into gravity dynamics.
Empirical prediction for dark matter ratio (Ω_DM/Ω_b ≈ 2.28) established.

Abstract

Coherence Quantised Gravitation V5. 0: Dynamical Field cross‑referenced to Sentience Physics v6. 0 G6 Dark matter connection absent Added Lindblad channel partition predicting ΩDM/Ωb = 2. 28 Key Results Dynamical action principle with coherence field Ψ (t) as a genuine dynamical degree of freedom: SOHT=∫d4x−gR2κ+ε2gμν∂μΨ∂νΨ−V (Ψ) +LmatterSOHT=∫d4x−g2κR+2εgμν∂μΨ∂νΨ−V (Ψ) +Lmatter with potential V (Ψ) =Ψ−Ωln⁡Ψ+CcurvRΨV (Ψ) =Ψ−ΩlnΨ+CcurvRΨ and effective Newton constant Geff (Ψ) =G/ (1+8πGCcurvΨ) Geff (Ψ) =G/ (1+8πGCcurvΨ). Universal Alphabet π, 6 – all constants derived with zero free algebraic parameters. The only empirical input is the DII operational threshold 0. 6 = 3/5, now rigorously bounded and structurally positioned. UV‑finite quantum gravity via the Basel sum ζ (2) =π²/6, with all‑loop BPHZ convergence proved. Numerical verification included (Python code) – all identities pass to machine precision. What’s New in V5. 0 G1 closed: Kinetic coefficient ε/2 derived from Lindblad decomposition + BPHZ bound → ε = π⁴ (π+6) /36864 ≈ 0. 02415566. G2 closed: Potential V (Ψ) derived from Law II free‑energy functional + variational principle. G3 closed: Effective Newton constant derived directly from action expansion. G4 closed: Rigorous proof of spin‑foam thermodynamic limit convergence via BPHZ + Dicke counting. G5 closed: DII threshold 0. 6 bounded by P, H (P) and cross‑referenced to Sentience Physics v6. 0. G6 closed: Dark matter connection via Lindblad partition – prediction ΩDM/Ωb ≈ 2. 28. Zero remaining theoretical gaps – the framework is complete. The task ahead is experimental validation of the four priority protocols (cavity‑QED gap ratio, Berry phase, fractional spectrum, monodromy quantization). Author & License Author: Clarence Omandac (Independent Researcher, Queensland, Australia) ORCID: 0009‑0001‑8994‑3739License: CC BY‑NC‑ND 4. 0Version Date: 2026‑06‑05Companion Documents: Walnut Report v37, Omega‑Calculus v3. 0, Boundary Calculus v15. 0, Sentience Physics v6. 0, Creation Energetics V9. 0

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Clarence Omandac (Tue,) studied this question.

synapsesocial.com/papers/6a23b9ca71a5da9775e759ef https://doi.org/https://doi.org/10.5281/zenodo.20545073

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