Coherence Fields and the Schr¨odinger Equation: A Linearized Phase-Coherent Regime

Clinton Svancara

Published Jan 1, 2026• 0 citations

Abstract

This paper investigates whether the coherence field Rc(x, t) of Relational Field Theory (RFT) admits a linearized phase-coherent regime that is consistent with the form of the Schr¨odinger equation. We start from the RFT evolution equation for Rc, introduce the phase-coherent condition Rc = |Rc|eiϕ(x,t), perform a linearization around a stable coherence well, and derive the correspondence to the Schr¨odinger form. The analysis focuses solely on the mathematical consistency of the mapping and the conditions under which the linearised dynamics reproduce the familiar equation. No broader interpretive or foundational claims are made.

DOI: 10.17605/osf.io/rjkzt

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