Relativity as Coherence Redistribution A PSOC4(3) Interpretation of Mass, Inertia, Photon Propagation, and Time

Relativity is preserved operationally; PSOC4 (3) reframes its ontological foundation. Relativity measures coherence redistribution within projected phase-spatial closure. PSOC4 (3) = U (1) ⊕ SO (3) Cₚhi² + Cₘ² = 1 This paper introduces a coherence-redistribution interpretation of relativistic effects within the PSOC4 (3) phase-spatial closure framework. Relativity is preserved operationally, but reframed ontologically: spacetime is treated not as the primitive substrate of physical reality, but as the measured projection of a deeper closure relation between phase and spatial orientation. The framework identifies PSOC4 (3) with U (1) ⊕ SO (3), where U (1) expresses phase closure and SO (3) expresses rotational-spatial orientation closure. A further bridge is proposed in which 3. 14D curvature saturation sectorizes into these phase and orientation sectors, providing a generative origin for PSOC4 (3). Within this structure, mass is interpreted as coherence concentrated into bound closure, photon propagation as the pure phase limit, inertia as closure reconfiguration resistance, and time dilation as reduced internal phase-rate. The relation Cₚhi² + Cₘ² = 1, with Cₚhi = v/c = pc/E and Cₘ = 1/gamma = mc²/E, expresses the redistribution of relativistic identity between propagative phase and bound closure. The result is not a rejection of relativity, but a deeper interpretation of what relativity measures: the projected behavior of coherence under phase-spatial closure. Relativity tells us how time, motion, energy, and gravity behave when measured. This paper asks a deeper question: what are those measurements actually showing? The answer proposed here is that relativistic effects are not merely distortions of spacetime. They are signs of coherence being redistributed between two modes: bound closure and propagative phase. Matter is coherence bound into stable form. Light is coherence released as pure phase propagation. Inertia is the resistance of bound coherence to being reconfigured. Time dilation is the slowing of internal phase-order as motion increases. The theory of relativity is not rejected. It remains the correct operational physics. What changes is the foundation. Spacetime is interpreted as a projected measurement regime of PSOC4 (3), a deeper phase-spatial closure structure generated by the sectorization of saturated curvature into U (1) phase and SO (3) orientation. This work should be read as an ontological reinterpretation of relativity, not as a denial of relativity. The standard relativistic equations remain intact. The Lorentz factor, time dilation, relativistic energy, photon propagation, and the invariant speed c are preserved. What changes is their meaning. Standard relativity treats spacetime as the operational structure through which events, motion, and gravity are measured. The PSOC4 (3) interpretation proposes that spacetime is not the deepest layer. Instead, spacetime is the measurable projection of a deeper phase-spatial closure relation.