Corpus Construction Step Scaffolded Finite regularity is still local; the next burden is gluing.
Construction StepScaffolded

Step 027 — Sheaf coherence, self-enrichment, Yoneda

Finite regularity is still local; the next burden is gluing.

Finite regularity is still local; the next burden is gluing.

100-step ledger status. This page is scaffolded from the Full Construction Spine RC3 whitepaper. Whitepaper source anchors are present; deeper manuscript, Registry, and TauLib anchors are intentionally marked pending until the source-map extraction pass promotes them.
Macro context. CS-03 — Internalize Self-Enrichment

Book / layer. Book II · E0
Macro step. CS-03 — Internalize Self-Enrichment
Short routes. https://prrp.site/s27 · https://prrp.site/s027

Status tags. formal

Construction role

Finite regularity is still local; the next burden is gluing. The ω-germ presheaf satisfies sheaf coherence because local admissible maps agree on refinement-tail overlaps, so the sheaf gluing axiom pastes them without adding external matching data. This gluing result enables self-enrichment: every hom-object

[A,B]

is itself a τ-object, rather than an external collection of arrows. Yoneda then becomes a theorem of the construction — fully faithful and bipolar-preserving — not an imported embedding choice. This is the decisive handoff to Book III: the construction has now earned internal relational sites, and those hom-object loci are exactly what the physical-carrier problem will use as candidates for E1 localization.

What this step earns

Sheaf coherence, self-enrichment, Yoneda is made addressable as Step 027 in the fine-grained Construction Spine routing layer.

  • Routing scaffold. Detailed earned-output extraction is pending the source-map pass.

What this step does not yet establish

This route exposes the RC3 construction step for inspection. It does not by itself establish peer review, empirical adequacy, or final manuscript-level source closure.

Source anchors

  • Full Construction Spine RC3 whitepaper source (papers/whitepapers/panta-rhei-construction-spine-e0-e3/main.tex:394)

Manuscript extraction state: Detailed source anchors pending extraction.

Anchor classification: whitepaper source resolved; manuscript extraction pending; Registry extraction pending; TauLib extraction pending.

Formalization and verification

Registry links: Registry extraction pending.

TauLib modules: TauLib module extraction pending.

Dependencies

Save or share this page for inspection

Download a portable dossier, copy a reviewer note, or send this page to someone who can inspect it.

Email to expert