Step 003 — Orbit architecture

Applying ρ to the non-ω generators produces exactly four generated rays O_α, O_π, O_γ, O_η together with the singleton/fixed boundary ω.

Book / layer. Book I · E0
Macro step. CS-01 — Build the τ-Kernel
Short routes. https://prrp.site/s3 · https://prrp.site/s003

Status tags. hinge

Construction role

Applying ρ to the non-ω generators produces exactly four generated rays O_α, O_π, O_γ, O_η together with the singleton/fixed boundary ω. K5 supplies the diagonal discipline: no finite iteration on a non-ω generator reaches ω. The result is a linear-symbolic universe with four finite-directional channels and one boundary absorber: enough generated directionality to avoid under-generation, but enough diagonal discipline to prevent unrestricted self-collapse. The diagonal discipline maps structurally onto Girard’s !-free linear logic.

What this step earns

Orbit architecture is made addressable as Step 003 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:180)

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 002 — Coherence kernel
• Next: Step 004 — Four-block order readout

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