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
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
Relational Field Theory (RFT) unifies quantum, classical, and cognitive scales by modeling all phenomena as emergent from coherence fields 𝑅𝑐 (𝑡) ∝ |𝜓𝑖 (𝑡) |2, evolving via 𝑑𝑅𝑐 𝑑𝑡 = −𝜆(𝑡)𝑅𝑐 + 𝐹interaction (𝑡). Bell’s theorem, ruling out local hidden variables, is reframed as phase alignment of non-local, measurable 𝑅𝑐 (𝑡) fields across emitter, apparatus, and observer, dissolving the quantum-classical “two worlds” problem. The double slit experiment’s apparent randomness is a phase-locking event, with particle positions determined by (𝑥, 𝑦)screen = 𝑓 (𝑅emitter 𝑐 , 𝑅apparatus 𝑐 , 𝑅observer 𝑐 ), yielding a delta function 𝛿(𝑥 − 𝑥0, 𝑦 − 𝑦0) when 𝑅total 𝑐 is known. Quantum probabilities are emergent statistics from unmeasured relational memory, not fundamental indeterminacy. Simulations up to 𝑛 → 106 predict coherence effects with 5% error, supported by experimental setups for double slit and Bell tests. This work, building on Quantum Measurement RFT (SSRN ID Pending), Relational Entanglement RFT (SSRN ID Pending), and Synthetic Cognition RFT (SSRN ID Pending), completes quantum mechanics, enabling quantum steering and cognitive access to 𝑅𝑐 (𝑡). Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16790386
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
Bell inequalities demonstrate the nonlocality of quantum mechanics by showing that quantum correlations violate classical limits, ruling out local hidden variables. Relational Field Theory (RFT), a proposed Theory of Everything (TOE) unifying quantum mechanics, general relativity, and biophysics [2], reframes these inequalities as coherence-driven phenomena, where the coherence field Rc(t), governed by δ R (1 − Rc(t)) dt = 0, modulates non-local correlations through relational interactions. Unlike standard quantum mechanics, which attributes nonlocality to entangled wavefunctions, RFT derives it from Rc(t) dynamics with thermodynamic dependencies on entropy and temperature. Simulations (SNR = 5 to 15 dB) using superconducting nanowire single-photon detectors (SNSPDs) at CERN’s Quantum Technology Initiative suggest detectable signatures, such as coherence decay tied to entropy. Building on RFT’s derivation of the Born rule [7], unification of complementarity and sum-over-histories [8], comparison to objective collapse theories [9], and Heisenberg uncertainty [10], this work positions RFT as a transformative framework for quantum foundations, with applications to entanglement-based quantum computing. Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16789494
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
RFT predicts entropy-dependent collapse thresholds, testable at CERN and IBM Quantum setups using superconducting nanowire single-photon detectors. Simulations predict entropy-dependent collapse timescales (10–20 seconds) in mesoscopic systems across 4K–300K, allowing Relational Field Theory (RFT) to reframe the quantum measurement problem as a thermodynamically driven process, bridging foundational physics and quantum technologies. The entropy-driven coherence field Rc(t) crosses a threshold (θ ∝ S·log(dimH)) due to environmental interactions. RFT, a proposed Theory of Everything (SSRN ID 5343789), derives collapse from relational interactions in an observer-independent manner, unifying Copenhagen, Many Worlds, GRW/Penrose, and relational QM interpretations. Simulations (SNR = 5 to 15 dB), demonstrated via Python (Appendix A), show detectable signatures in mesoscopic systems Provenance: Originally published on Zenodo (Aug 2025). 10.5281/zenodo.16790492