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What is Coherence in Relational Field Theory?

Clinton Svancara

Published Jan 1, 2026• 0 citations
Publisher

Abstract

This is the short companion document to the full Relational Field Theory (RFT) series (Papers 1–12). It provides a plain-language overview of coherence — the unifying idea of the framework — with one key equation and one diagram. It serves as the best single-document introduction and “front door” to the entire series.
DOI
10.17605/osf.io/vyszt

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This document presents the formal mathematical axiomization of Relational Field Theory (RFT), establishing a single ontological primitive— the bounded scalar coherence field —and deriving the self-referential domain constraint .The Axiom Sheet (A1–A9) formalizes the Kernel identity, coherence evolution equation, domain threshold conditions, Genesis principle, and measurement-as-locking interpretation. A second section provides representative derived theorems showing how known physical laws emerge as limiting behaviors of and , including: Schrödinger equation as phase-locked Kernel dynamics Newtonian mechanics as low-curvature Rc trajectories General relativity as effective curvature geometry of Rc Maxwell/gauge structure as coherence-preserving invariants Thermodynamics as entropy of coherence loss Absence of physical singularities from Rc-threshold constraints This document serves as the foundational formal layer for the full RFT corpus, establishing the axiomatic base from which all subsequent proofs and derivations follow.
Relational Field Theory (RFT) models quantum computing as emergent coherence dynamics, reframing qubits, entanglement, and decoherence as phenomena of residue fields 𝑅𝑐 (𝑥, 𝑡). Unlike conventional hardware-dependent approaches, RFT offers a complementary perspective, suggesting coherence stabilization via minimal 𝜆(𝑥, 𝑡), potentially easing environmental constraints. Qubit states and entanglement arise from 𝑅𝑐 (𝑥, 𝑡) configurations, while decoherence is expressed as residue field decay via 𝜆(𝑥, 𝑡). This framework complements existing quantum architectures and proposes testable alternatives to current hardware limits. We predict measurable residue anomalies in Bose-Einstein condensates (BECs) (Δ𝑅𝑐 = (1.0 ± 0.2) × 1029 J/m3) and potential signatures in hybrid quantum-classical systems, offering a roadmap for testing RFT’s relevance to quantum information processing. We invite experimental scrutiny to explore whether coherence dynamics can unify quantum computing, thermodynamics, and cosmology under a single framework Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16790423
Entanglement is a cornerstone of quantum information science, enabling quantum networks and fault-tolerant quantum computing. Relational Field Theory (RFT), a proposed Theory of Everything unifying quantum mechanics, general relativity, and biophysics (SSRN ID 5343789), reframes entanglement as coherence-driven correlations, enhancing standard measures like concurrence and negativity with an environmentally adaptive framework for immediate applications in quantum key distribution (QKD) and error correction. Simulations (SNR = 5 to 15 dB), demonstrated via Python simulations (Appendix A), suggest decoherence thresholds (θ ∝ S · log(dimH)) immediately testable in CERN and IBM Quantum setups using superconducting nanowire single-photon detectors. The coherence residue C ≈ 10−5 predicts multi-qubit decoherence thresholds, enhancing quantum network stability. Building on RFT’s Born rule derivation (SSRN ID Pending), complementarity unification (SSRN ID Pending), collapse comparison (SSRN ID Pending), Heisenberg uncertainty (SSRN ID Pending), and Bell inequalities (SSRN ID Pending), this work unifies the RFT TOE with quantum technology, with potential applications in quantum machine learning Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16790413