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Regime-Dependent Structural Persistence in Relational Field Theory: Implications for Quantum Definiteness and Outcome Selection

Clinton Svancara

Published Jan 1, 2026• 0 citations
Publisher

Abstract

This note uses results from anisotropic turbulent channel flow to clarify the interpretive scope of earlier quantum papers in the Relational Field Theory (RFT) series. Structure-sensitive coherence is shown to activate conditionally in boundary-constrained regimes, supporting a regime-dependent view of coherence-driven mechanisms. Earlier explorations of quantum tunneling, measurement, and relational quantum gravity are best understood as processes that become dynamically relevant only under conditions of strong local closure and persistent relational structure. The framing maintains scientific modesty while providing a methodological constraint for quantum applications of RFT.

DOI
10.17605/osf.io/4yfj3

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This note clarifies the conceptual role of Relational Field Theory (RFT) and positions it as a cross-domain organizing principle rather than a domain-specific model or a replacement for existing physical theories. RFT introduces a minimal structure: a coherence field R_cgoverned by a persistence law, and an adaptive domain closure that makes memory state-dependent. From this minimal structure, the framework reproduces recurring dynamical signatures across multiple regimes, including: spontaneous threshold crossing, critical slowing, hysteresis, coherence wells, and persistent structured correlations under noise. The purpose of this paper is to show that RFT functions in a role analogous to thermodynamics or information theory: it does not replace the underlying dynamical laws of a system, it constrains the conditions under which coherence and temporal order can emerge within those dynamics, and it remains substrate-independent, with different domains corresponding to different projections of the same underlying structure. To illustrate this organizing role, the paper includes a numerical demonstration of coherence revival in a strongly driven open quantum system using the RFT adaptive kernel. This simulation is not presented as proof of the effect, but as a minimal demonstration that the framework generates the predicted qualitative behavior. A reproducible Python implementation is included in the appendix. This framing helps distinguish RFT from a constructed metric or simulation-specific method. Instead, it supports the interpretation of RFT as a structural constraint on persistence-driven coherence across classical, quantum, and complex systems.
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This note presents a concrete, falsifiable prediction of Relational Field Theory (RFT) in a regime where standard open-system quantum treatments provide well-defined expectations. Consider a strongly driven open quantum system (e.g., superconducting qubit arrays or cavity-QED platforms) subject to dissipation. Under standard Lindblad or Floquet descriptions, such systems are typically expected to exhibit monotonic coherence decay or steady-state saturation without a revival mechanism of this form. RFT predicts a different outcome. Due to the adaptive domain closure T[R_c], the system’s effective response time increases in the low-coherence regime. This allows accumulated relational structure to persist long enough for the system to spontaneously re-enter a high-coherence state. The result is a non-monotonic coherence revival that arises without fine-tuning or additional parameters. Observable signatures include: Non-monotonic coherence lifetime (decay → plateau → revival) Hysteresis under drive-amplitude cycling Divergence of recovery time near a critical drive strength (critical slowing) A sharp increase in the time-quality factor Q_t=1/D_\theta The key discriminating feature is the combined appearance of these signatures. While individual behaviors may appear in nonlinear or driven systems, their joint occurrence under these conditions is not naturally predicted by standard open-system models. This prediction provides a direct experimental test of RFT. If high-precision measurements in the specified regime show only monotonic decay with no revival or hysteresis, the adaptive-closure mechanism of RFT would be ruled out. This work does not modify quantum mechanics. Instead, it proposes that coherence-constrained dynamics arising from relational persistence may constitute a cross-domain organizing structure that can be tested within existing experimental platforms.