Step 037 — Carrier guarantees and external shadows

The global carrier requires eight construction guarantees, each a condition on the local-to-global gluing data.

Book / layer. Book III · E1
Macro step. CS-04 — Identify the Physical Carrier
Short routes. https://prrp.site/s37 · https://prrp.site/s037

Status tags. bridge

Construction role

The global carrier requires eight construction guarantees, each a condition on the local-to-global gluing data. Spatial Force supplies simple-connectivity control (external shadow: Poincaré, externally established via Perelman and re-read internally). Harmonic Force supplies spectral purity (RH/GRH shadow). Regular Force supplies local Hartogs regularity (Navier – Stokes shadow). Discrete Force supplies gap/discreteness (Yang – Mills shadow). Legible Force supplies sector addressability (Hodge shadow). Codable Force supplies rational proto-code addressability (BSD shadow). Coherent Force supplies functorial automorphic/Galois gluing (Langlands shadow). Predictive Force is the carrier’s forward export condition; its full P vs NP / $E_1$ to $E_2$ reading is deferred. The framework does not claim externally settled Clay-valid resolutions of these problems; their names mark the external shadows of τ-internal construction obligations with explicit bridge gaps. The bridge ledger still classifies most orthodox translations as conjectural, with Poincaré established and P vs NP treated as a bridge break.

What this step earns

Carrier guarantees and external shadows is made addressable as Step 037 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:544)

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 036 — Local-to-global gluing burden
• Next: Step 038 — Global Cartesian gluing and decompactification

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• 100-Step Routing Ledger
• Ten-step Construction Spine