Constraint-Compatible Variational Formulation of the Coherence Functional and Persistence Law in Relational Field Theory

Clinton Svancara

Published Jan 1, 2026• 0 citations

Abstract

This paper shows that the core structure of Relational Field Theory (RFT) admits a consistent variational formulation under the same minimal constraints developed in the preceding derivation. Starting from a relational action constructed to satisfy closure and measurability requirements, the operational coherence functional ( R_c = \alpha \cdot \beta \cdot \gamma ) and the persistence law ( \frac{dR_c}{dt} = -\lambda R_c + F_{int} ) re-emerge as the minimal forms compatible with collapse invariance, relational closure, measurability, and stability. The work does not claim an independent first-principles derivation; rather, it demonstrates that the established RFT core is internally consistent with a least-action-like relational structure. This strengthens the foundational coherence of the framework and provides a bridge toward deeper mathematical and geometric extensions.

DOI: 10.17605/osf.io/zrfy7

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