Step 042 — Hinge Theorem export

The Hinge Theorem closes Book III by turning the carrier construction into an export contract.

Book / layer. Book III · E1
Macro step. CS-04 — Identify the Physical Carrier
Short routes. https://prrp.site/s42 · https://prrp.site/s042

Status tags. bridge

Construction role

The Hinge Theorem closes Book III by turning the carrier construction into an export contract. Every result in Books IV – V must be a sector instantiation of the $E_1$ enrichment just constructed: microphysics is read off the $T^2$ fiber, macrocosm off the ${\tau }^1$ base, and inter-sector coupling off the No Knobs ledger, with the III.R40 temporal-spatial decomposition fixing the base/fiber export grammar. The later books are therefore not independent physical theories attached to the mathematics. They are typed readouts of the Book III carrier.

What this step earns

Hinge Theorem export is made addressable as Step 042 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:610)

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 041 — No Knobs Principle
• Next: Step 043 — Layered equivalence

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