Step 033 — E₁ hom-object loci

Book II’s self-enrichment now becomes the localization mechanism.

Book / layer. Book III · E1
Macro step. CS-04 — Identify the Physical Carrier
Short routes. https://prrp.site/s33 · https://prrp.site/s033

Status tags. formal bridge

Construction role

Book II’s self-enrichment now becomes the localization mechanism. Since

[A,B] Obj(τ),

morphisms are no longer external arrows between already-given points; they are internal τ-objects with boundary characters, holomorphic interiors, and ω-germ data. The first candidates for physical sites are therefore hom-object loci: relational sites that encode how structures meet and transform, not where they sit on an imported coordinate grid. This is the first

-level answer to the question “where can physics live?”

What this step earns

hom-object loci is made addressable as Step 033 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:502)

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

• Previous: Step 032 — No bare-point ontology
• Next: Step 034 — Central-Theorem constraint on physical loci

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