Step 002 — Coherence kernel
The bare kernel is fixed as five ordered generator symbols α < π < γ < η < ω, one progression/application operation ρ as the sole primitive operation, and the constraints K0 -- K6.
The bare kernel is fixed as five ordered generator symbols α < π < γ < η < ω, one progression/application operation ρ as the sole primitive operation, and the constraints K0 – K6.
Book / layer. Book I · E0
Macro step. CS-01 — Build the τ-Kernel
Short routes. https://prrp.site/s2 · https://prrp.site/s002
Status tags. hinge
Construction role
The bare kernel is fixed as five ordered generator symbols α < π < γ < η < ω, one progression/application operation ρ as the sole primitive operation, and the constraints K0 – K6. K0 prevents τ from becoming one object among its own objects; K2 makes ω the absorbing fixed point (ρ(ω)=ω); K3 – K6 generate and close the four finite rays while forbidding premature collapse into ω (K5 in particular: ρ^n(g)≠ω for non-ω g). This is the proposed minimal symbolic kernel: not yet geometry, number, space, or physics, but the least constructive source claimed to carry them. The E0 claim is minimal constructive sufficiency, not classical model-theoretic categoricity.
What this step earns
Coherence kernel is made addressable as Step 002 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:178)
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 001 — Non-import discipline
- Next: Step 003 — Orbit architecture
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