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MKUFT — A Relational Architecture for Physical Law and Cross-Scale Dynamics

Mark Charles McLaughlin

Published Dec 1, 2025• 2 citations
Publisher

Abstract

MKUFT is an evolving research programme for analysing how possibility, relational constraint, physical dynamics, measurement, history, and scale-specific description fit together. This publication presents the current principal MKUFT architecture: a typed S–I–P–O framework in which addressed state and context determine admissibility, an active physical-law object is assembled, physical propagation and measurement produce outcomes, and the realised path readdresses the next effective possibility space. The framework distinguishes functional identity, constitutive closure, law sufficiency, capability, cost, and recoverability across scale, with explicit strongest-fair-null, deformation, falsification, Bell/no-signalling, quantum-recovery, gravitational-recovery, and energy-accounting requirements. It is not presented as a completed unified field theory or accepted physics, but as a pressure-testable relational architecture with explicit boundaries between established results, research scaffolds, and unresolved foundational claims.

DOI
10.5281/zenodo.17780565

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MKUFT is an evolving research programme for analysing how possibility, relational constraint, physical dynamics, measurement, history, and scale-specific description fit together. This publication presents the current principal MKUFT architecture: a typed S–I–P–O framework in which addressed state and context determine admissibility, an active physical-law object is assembled, physical propagation and measurement produce outcomes, and the realised path readdresses the next effective possibility space. The framework distinguishes functional identity, constitutive closure, law sufficiency, capability, cost, and recoverability across scale, with explicit strongest-fair-null, deformation, falsification, Bell/no-signalling, quantum-recovery, gravitational-recovery, and energy-accounting requirements. It is not presented as a completed unified field theory or accepted physics, but as a pressure-testable relational architecture with explicit boundaries between established results, research scaffolds, and unresolved foundational claims.
Quantum theory and general relativity are extraordinarily successful within their demonstrated domains, yet their standard formalisms are not straightforwardly unified. Layer Before Law asks whether part of that difficulty may arise one conceptual step earlier: before selecting the physical law that governs a state, has the relevant object, context, admissibility structure, and scale been typed correctly? Within the McLaughlin-Kairos Unified Field Theory (MKUFT) research programme, the proposal is an addressed architecture rather than a completed theory of quantum gravity. A complete effective state carries substrate participation, informational and relational structure, physical expression, observer-positioned registration, contextual address, and retained load-bearing history. A compatibility map constructs an admissibility descriptor; a law assembler then constructs the active physical-law object. Physical propagation, measurement or registration, and readdressing of the next effective possibility object follow. The paper adds a property-relative law-ownership gate and bidirectional scale readdressing, separates higher-law failure from constitutive closure and recoverability, applies the framework to entanglement as a worked constraint case, states explicit Bell/local-hidden-variable and no-signalling requirements, and defines recovery obligations for quantum and gravitational regimes. It does not derive the Born rule, Bell correlations, quantum field theory, Einstein dynamics, or a fundamental quantum-gravity theory. Its contribution is a typed, falsifiable research architecture for testing whether relational and contextual structure performs independent work beyond the strongest adequate physical-state, history, and boundary description.
This manuscript presents a synthesis and methodology paper for the Finite Relational Closure Framework (FRCF). Rather than reconstructing a single physical theory in detail, it clarifies how FRCF organizes effective physical regimes from finite measurement records, admissible relational structures, finite-resolution equivalence, and refinement stability. The manuscript defines an effective physical regime as a refinement-stable class of finite relational measurement structures that supports reproducible comparison laws, stable invariants, and an effective mathematical representation within a specified domain. It distinguishes finite fit, refinement stability, sufficiency, and uniqueness, and proposes explicit criteria for evaluating future FRCF applications. Examples from the broader series, including wave-like propagation, quantum kinematics, measurement conditioning, quantum dynamical kernels, phase laws, and empirical generator stability, are used to illustrate how different regimes may require different stable constraints while sharing a common finite-relational architecture. The manuscript is methodological and programmatic. It does not claim that all physical theories have been reconstructed, but presents FRCF as a framework for studying how effective physical structures may arise, persist, be compared, or fail under admissible refinement.
Objective Reality presents a unified account of physical reality in which quantum possibility and classical actuality are inseparable aspects of one evolving state. The quantum state carries the coherent possibilities—the amplitudes, phases, correlations, and interference structure—while a single history coordinate identifies the configuration that is temporarily actual. Neither component alone constitutes the physical world; objective reality is the evolving relation between them. This relation is expressed by the complete state Aₜ = (ρₜ, Dₜ, Cₜ, Rₜ, uₜ, Ξₜ), advanced through a single reversible bridge law, Aₜ₊Δₜ = BΔₜ[Aₜ]. Unitary quantum evolution generates the probability current. That current determines the admissible transitions between candidate classical sectors. A reversible selector then converts those transition weights, together with a retained auxiliary coordinate, into one actual successor. Decoherence and spectral stability identify durable record-bearing sectors; conserved quantities are carried through explicit accounting variables; and the inverse bridge reconstructs the preceding complete state. The construction proves normalization, Born equivariance, reversible selection, complete-state invertibility, conservation, classical reduction, relativistic integrability under microcausality, and the persistence of exactly one history coordinate. When the ensemble distribution agrees with the quantum sector weights, the bridge transports it into the next Born distribution while each individual realization follows one determinate history. The resulting formalism connects quantum evolution, measurement, wave–particle behavior, emergent classical records, and relativistic state evolution within one mechanics. It also establishes a common foundation for investigating selected-source gravity, emergent spacetime, vacuum energy, black-hole information, and experimentally falsifiable quantum–classical bridge dynamics.
Bell’s theorem rules out a broad class of local hidden-variable explanations, but Bell violation, operational no-signalling, process-level locality, quantum admissibility, completion geometry, and the numerical quantum boundary are distinct statements. Conflating these levels obscures both what Bell establishes and what a proposed reconstruction must still explain. This paper applies a typed-boundary analysis to the Bell/CHSH setting. It does not derive a new Bell inequality, does not derive Tsirelson’s bound from a new physical principle, and does not claim that Bell’s theorem has been solved. Instead, it separates Bell-local factorisation, operational access, remote write-power, history-conditioned process closure, local admissibility-law ownership, parent-level completion, and scale/resource custody into distinct scientific addresses. The analysis is tested against established native results including Fine’s theorem, Tsirelson–Landau–Masanes correlator geometry, Information Causality, the NPA hierarchy, joint-measurability results, uncertainty and steering, relativistic independence, and dimension-witness frameworks. It also distinguishes the target-specific CHSH algebraic-to-quantum residual from quantum-bound slack, finite-address excess, numerical certification gap, and experimental uncertainty. Under the comparator family examined here, the independent Bell-local new-physics delta is null. The non-null contribution is a typed correspondence, custody, and falsification architecture that prevents constraints at different levels from being silently substituted for one another and supplies an explicit reopening rule for prospective tests at genuinely held-out addresses.
This work presents the complete mathematical and conceptual formulation of the Relational Self-Coherence Framework — a unified physical model in which relationships, rather than spacetime or fields, are taken as the fundamental building blocks of reality. In this framework, all physical laws emerge from the minimisation of a single global quantity: the Total Relational Instability Functional, \mathcal{I} = \sum_{i,j} f(\mathbf{H}_{ij}, \Delta \ell_{ij}, \Delta \sigma_{ij}, S_{ij}, W_{ij}), The model proposes a probability rule for the actualisation of relations, P(R_{ij}=1) \propto \left(-\frac{\delta \mathcal{I}}{\delta R_{ij}}\right)\exp(-S_{ij}), Through coarse-graining and variation of the instability functional, the framework naturally reproduces: Einstein-like geometric structure, quantum path-sum amplitudes, conservation laws, interference and phase behaviour, and emergent constants such as , , and . This release includes the full extended formulation, derivations, tensor definitions, and appendices, providing a complete resource for theoretical exploration, simulation, or further development.It is intended as a stable, citable reference for the emerging relational approach to fundamental physics.