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The Chemical Bond as Coherence Lock in RFT 2.0

Svancara, Clinton

Published Nov 11, 2025• 0 citations
Publisher

Abstract

This paper derives chemical bonding from the RFT 2.0 coherence law, without orbitals or hybridization. A bond is defined as a coherence-locked region where decay vanishes () and . Bond length and vibrational frequency follow from the equilibrium condition . Aromatic stability arises from coherence cycling with constant , replacing resonance hybrids. Protein folding and enzyme catalysis are shown to be coherence wells under the same law. This work reinterprets bonding mechanistically, preserving quantum chemical computation methods while removing non-fundamental representational constructs.

DOI
10.5281/zenodo.17576444

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This paper derives chemical bonding from the RFT 2.0 coherence law, without orbitals or hybridization. A bond is defined as a coherence-locked region where decay vanishes () and . Bond length and vibrational frequency follow from the equilibrium condition . Aromatic stability arises from coherence cycling with constant , replacing resonance hybrids. Protein folding and enzyme catalysis are shown to be coherence wells under the same law. This work reinterprets bonding mechanistically, preserving quantum chemical computation methods while removing non-fundamental representational constructs.
Quantum computing is not inherently fragile. It is phase-preserving coherence. RFT 2.0 defines qubits as coherence domains with stable phase and shows that quantum computation corresponds to phase rotation at , not superposition requiring cryogenic isolation. Coherence-locking materials and Rc-stable feedback circuits allow quantum computation at room temperature with no error correction overhead. If a system operating at still exhibits decoherence or requires cryogenic stabilization, this model is falsified.
The chemical bond is a central organizing concept in chemistry, yet it is absent from the molecular Hamiltonian and no "bond operator" exists. Bonding is therefore not a primitive physical entity but a derived descriptor emerging from the quantum state. The logical consequences of this observation are revisited. Statements such as "bonding stabilizes structure" when taken literally risk circular reasoning (petitio principii), whereby bonding is inferred from a stationary structure and then invoked as its cause. The same caution applies to concepts such as steric repulsion, which is also a derived descriptor. Bonding accompanies stable or metastable states and correlates with their properties without constituting their cause. Illustrative examples are drawn from QTAIM, non-covalent interaction (NCI) approach, protein structure, and hydrogen-hydrogen bonding. Causation, language, and the autonomy of chemistry are also briefly discussed. The aim is not at all to diminish the role of bonding, but to place it at the correct logical level, that is, as a powerful, state-dependent descriptor that organizes, classifies, and predicts chemical behavior without serving as its fundamental cause.
We extend Michaelis-Menten kinetics using Relational Field Theory (RFT) to account for coherence-driven enzyme behavior, providing predictions testable with standard assays. RFT, a proposed Theory of Everything (TOE) unifying quantum mechanics, general relativity, biophysics, and neuroscience (SSRN ID 5343789), models enzyme kinetics as coherence transitions governed by dRc dt = −λ(t)Rc + Finteraction(t), where Rc(t) ∝ P |ψi(t)|2 (dimensionless) represents catalytic coherence. Simulations predict faster-than-diffusion catalysis (e.g., kcat ≈ 108M−1 s−1), validated against peer-reviewed experimental data (e.g., stopped-flow spectroscopy) and computational models (e.g., QM/MM) for enzymes like carbonic anhydrase and acetylcholinesterase. Proposed mechanisms include coherence-driven tunneling and substrate channeling, with NMR and kinetic assays confirming coherence thresholds. This framework advances RFT’s biophysical implications Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16790296
In standard quantum mechanics, the factor is introduced to produce unitary, oscillatory time evolution. In Relational Field Theory (RFT), acquires a physical meaning: it is the generator of reversible relational coherence. Starting from the universal coherence law , we isolate the phase-preserving regime and show with . The wavefunction and Schrödinger dynamics follow directly, without additional postulates. This reframes as coherence preservation (orthogonal to amplitude flow), unifying classical decay and quantum phase rotation under a single relational principle.
Chemical bonding is a nonlocal phenomenon that binds atoms into molecules. Its ubiquitous presence in chemistry, however, stands in stark contrast to its ambiguous definition and the lack of a universal perspective for its understanding. In this work, we rationalize and characterize chemical bonding through the lens of an equally nonlocal concept from quantum information, the orbital entanglement. We introduce the maximally entangled atomic orbitals (MEAOs) whose entanglement pattern is shown to recover both Lewis (two-center) and beyond-Lewis (multicenter) structures, with multipartite entanglement serving as a comprehensive index of bond strength. Our unifying framework for bonding analyses is effective not only for equilibrium geometries but also for transition states in chemical reactions and complex phenomena such as aromaticity. It also has the potential to elevate the Hilbert space atomic partitioning to match the prevalent real-space partitioning in the theory of atoms in molecules. Accordingly, our work provides a new framework for understanding fuzzy chemical concepts using rigorous, quantitative descriptors from quantum information.