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Published August 8, 2025 | Version v4

Rω=c

Description

 We present a unifying quantum framework grounded in a single internal kinematic constraint—the Relator principle—expressed by Rω=c. This universal condition couples internal phase rotation with external spatial evolution at the invariant speed of light. From this minimalist postulate, we \textit{derive Lorentz time dilation and the full relativistic energy–momentum relation} without invoking explicit spacetime transformations. Extending the framework to gravitational potentials, we recover gravitational time dilation and light deflection in exact agreement with general relativity, but attribute these effects to quantum-phase modulation rather than spacetime curvature. The Relator model offers a conceptually distinct route to unifying quantum mechanics and relativity, suggesting that inertial mass, gravitational redshift, and the appearance of curvature emerge from intrinsic constraints on wavefunction evolution.

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