The Path Integral as TUT Projection: A GMaTT Interpretation of Feynman's Sum Over Histories

Soon Hee@Bungsuh Yeo

Published Jul 15, 2026• 0 citations

Abstract

Abstract Feynman's path integral formulation describes quantum propagation as a sum over all possible paths, weighted by a phase factor e^{iS/ℏ}. The classical path emerges via constructive interference of paths with stationary action. We reinterpret this mechanism within the Generalized Mass as Twisted Time (GMaTT) framework. The phase factor is identified as the accumulated phase difference Δφ of a G₂ root vector rotating around the √α axis. The condition for constructive interference is shown to be equivalent to the TUT (TwistUntwist Threshold) coherence condition |δφ| < √α. We clarify that the TUT window is not a dynamic laboratory filter but a static geometric boundary condition of the phase space. Classical paths are not "chosen" by the particle; they are the trajectories that maintain phase coherence within the TUT threshold during propagation. This provides a geometric origin for the path integral and the principle of least action, grounding Feynman's sum in the pregeometric phase geometry of GMaTT.

DOI: 10.5281/zenodo.21365608

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