Claim PUB-unary-scaffold-coherent-cubical-algebra--thm-main

Exact statement

Theorem 8.1 (Uniform guarded path presentation). Fix a finite alphabet and history length in degree one and distance one. In each final behavioral fibre, all parallel paths generated by endpoint detours, literal absorptions, causal-garbage changes, and temporal slides are presented by the following length-independent guarded cell families: garbage same-coordinate triangles and different-coordinate squares; collapse cells for garbage-trivial D/A/T edges; strong Peiffer squares and the same-row D/A triangle; carrier-cube and inessential temporal Peiffer squares; strict mixed naturality squares; and the bounded A/T hexagon. The three support captures use vertical cancellation, and D/T is derived.

Statusreview publication statement; not independently promoted by this index

External reviewNo documented external or specialist review of this FPRD result is recorded.

Context

This row inventories an exact theorem-like statement extracted from a publication. Publication presence and mathematical maturity are intentionally separate.

Proof or evidence

The proof context is available at the linked publication anchor. This matrix run verified the statement-to-anchor link, not the proof itself.

A coherent cubical algebra for unary scaffold histories, Theorem 8.1 →

Verification notes

Reviewed on 2026-08-25 for stable extraction, publication anchor, and KaTeX validation. No theorem-level hostile proof audit is asserted.

Limitations

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Open work

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