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FRC-700-002 · v0.1

The Recursive Boundary: Whole–Unit Reindexing in the μ Topology v0.1

H. Servat2026-07-177 minFRC 700 seriesSpeculativeμ4 Logical / conceptual
thresholdsnested-systemsboundaryrole-indexingstructural-recurrencemu-levels

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Current statement

FRC μ assignments are indexed relations among an object, its role, and a declared system boundary; they are not permanent labels attached to objects. This paper defines a bounded system, an indexed role map, and a boundary-change record. It proves the consistency of whole–unit reindexing: the same object can be a bounded unit at one boundary and a component of a larger unit at another without contradiction because the predicates have different boundary indices. 'Fractal' is restricted to recurrence of the component–unit–relation pattern under boundary change, not geometric self-similarity or fractal dimension.

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

On this page
FRC μ assignments are indexed relations among an object, its role, and a declared system boundary; they are not permanent labels attached to objects. This paper defines a bounded system, an indexed role map, and a boundary-change record. It proves the consistency of whole–unit reindexing: the same object can be a bounded unit at one boundary and a component of a larger unit at another without contradiction because the predicates have different boundary indices. 'Fractal' is restricted to recurrence of the component–unit–relation pattern under boundary change, not geometric self-similarity or fractal dimension.

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