Theoretical framework proposes a unified process ontology linking quantum mechanics and gravity via carrier impedance and process-load domains, suggesting a continuous basis for cosmic dynamics.
The Phase Relational Field Framework (PRFF) presents a unified process ontology intended to connect quantum measurement, gravitational source accounting, and cosmological response as scale-dependent manifestations of a single, continuously maintained process. It does not replace the predictive formalisms of quantum mechanics or general relativity. In a checked constitutive specialization, the interaction-supporting carrier is represented as a continuous, lossless distributed LC medium with phase speed 1/√(L₀C₀) and characteristic phase impedance Z₀ = √(L₀/C₀). The familiar value Z₀ ≈ 377 Ω follows only when L₀ and C₀ are identified with the measured electromagnetic-vacuum response; Z₀ alone does not constitute an absolute load or capacity bound. The central ontological proposition is that a localized entity is maintained through a reaction surface and that the same maintaining process continues beyond its localization boundary as an Omnidirectional Spherical Process-Load Domain (OSPLD). Its Gauss-surface process-load invariant is unsigned and additive. Microscopic quantum interactions may return signed, phase-, polarity-, and orientation-sensitive relational projections, whereas gravitational source accounting retains the unsigned cumulative magnitude. The signed-interaction/unsigned-gravity distinction therefore describes two coupling channels of one continuous process rather than separate quantum and gravitational substrates. The dynamical carrier-to-metric map remains to be derived; Einsteinian curvature, geodesics, and geodesic deviation are retained as macroscopic representation targets. The framework identifies three linked research programmes: Quantum Statistics and Entanglement: PRFF proposes that topological repartition does not erase the relational phase organization of the parent process. Bell-type correlations may consequently arise from contextual, spatial-geometric sampling of an extended joint OSPLD rather than from action at a distance. A complete realization must derive a non-factorizable joint-response kernel and recover the Born rule, singlet correlations, the maximal CHSH value, and no-signalling under a setting-independent sampling measure. Horizon Dynamics and Coalescence: Event horizons are treated as candidate null reaction-surface limits at which local admission, phase relation, and carrier loading become extremal. Bilateral impedance matching and the condition ΓH = 0 provide a conditional, mode-resolved description of reflectionless horizon coupling, while the symmetric Z₀/2 + Z₀/2 partition remains a constitutive ansatz. Binary coalescence is interpreted as a reciprocal phase-commutation transition between complete OSPLDs. The resulting carrier-stress transient is proposed as the source-level process whose transverse-traceless projection is represented macroscopically by the + and × gravitational-wave polarizations. Cosmological Background and the Hubble Tension: Under an Olbers-type shell accumulation model, an unsigned common-mode matter contribution may diverge with increasing sampling radius unless a separate nonlinear carrier-saturation law intervenes. Its large-scale asymptote could be represented gravitationally as an effective cosmological term rather than as a fundamental local repulsive force. Because cosmic dilution changes the cumulative load distribution, the associated saturation radius and effective cosmological response may drift with the scale factor. This supplies a concrete ontological mechanism to investigate as a possible contribution to the Hubble tension, rather than claiming its resolution in advance. By separating derived relations, constitutive interpretations, working hypotheses, and theorem targets, PRFF establishes an explicit and falsifiable research architecture. Its principal open requirements are the derivation of a covariant carrier and boundary action, the carrier-to-metric map, the nonlinear saturation law, the joint quantum-response kernel, and quantitative confrontation with gravitational-wave and cosmological observations.
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Matthew Alexander Firtl (2026) studied this question.
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