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Bibliographic Details
Main Author:	Brennan, Thomas
Format:	Recurso digital
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Published:	Zenodo 2026
Subjects:	UMP-FRM, structural identity, upstream measurement principle, fractal rhythm model, delayed feedback, causal independence, signal flow graph, quarter-wave resonance, beta = 1/2, oscillatory bifurcation, D-2.1, DRP-3, Meta-Kaizen, Fractaltalix
Online Access:	https://doi.org/10.5281/zenodo.19326265
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<p>Conjecture UMP-FRM states that a dynamical system satisfies the FRM delayed-feedback conditions D-2.1(a)-(c) if and only if there exists an observation point O in its signal flow graph that is causally independent of the current feedback cycle. The characteristic delay τ simultaneously produces both the quarter-wave resonance (β = 1/2) and the upstream observation window required by the Upstream Measurement Principle (UMP). These are structurally inseparable consequences of nonzero delay in a feedback loop. The conjecture is topological (signal flow graph), not analytical, and holds for continuous-time, discrete-time, event-driven, and variable-delay architectures.</p>

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