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FRC-700-003 · v0.1

Return Is an Update: Memory, Feedback, and the Next Ground v0.1

H. Servat2026-07-177 minFRC 700 seriesSpeculativeμ4 Logical / conceptual
thresholdstoroidal-returnfeedbackmemorynoninvertibilitymu-levels

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Current statement

The FRC toroidal qualifier means that outward passage can return into a later ground, not that the path is a geometric circle. This paper models a state-and-environment update and separates memory, feedback, delay, and environmental input. If a selective threshold merges two reachable states and every downstream step is deterministic under fixed inputs, the completed cycle cannot distinguish their histories. Its return map is noninjective on those histories. The next ground need not equal the prior ground; equality requires a separate recurrence test.

Evidence level

Philosophical / formal framework note

preprint

Declared μ register

μ4 · Logical / conceptual

Logic, formal models, language as explicit reasoning, and computational design.

Open boundary

Review the paper’s declared scope, controls, limitations, and kill conditions.

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v0.1 · Current release

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The FRC toroidal qualifier means that outward passage can return into a later ground, not that the path is a geometric circle. This paper models a state-and-environment update and separates memory, feedback, delay, and environmental input. If a selective threshold merges two reachable states and every downstream step is deterministic under fixed inputs, the completed cycle cannot distinguish their histories. Its return map is noninjective on those histories. The next ground need not equal the prior ground; equality requires a separate recurrence test.

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