Corpus Construction Step Scaffolded Once boundary atoms exist, the next burden is not to allow arbitrary maps.
Construction StepScaffolded

Step 013 — τ-holomorphy as ω-germ transformer

Once boundary atoms exist, the next burden is not to allow arbitrary maps.

Once boundary atoms exist, the next burden is not to allow arbitrary maps.

100-step ledger status. This page is scaffolded from the Full Construction Spine RC3 whitepaper. Whitepaper source anchors are present; deeper manuscript, Registry, and TauLib anchors are intentionally marked pending until the source-map extraction pass promotes them.
Macro context. CS-01 — Build the τ-Kernel

Book / layer. Book I · E0
Macro step. CS-01 — Build the τ-Kernel
Short routes. https://prrp.site/s13 · https://prrp.site/s013

Status tags. hinge

Construction role

Once boundary atoms exist, the next burden is not to allow arbitrary maps. The construction must earn a class of admissible transformations from the boundary grammar itself. A τ-holomorphic map is therefore defined as a certified ω-germ transformer: normal-form code with type, tail-stability, and tail-independence, without a prior function graph, Cartesian product, or prior external codomain. The diagonal discipline structurally precludes ordinary function-graph constructions; idempotent collapse to elliptic C is impossible. Its components satisfy split-complex Cauchy – Riemann equations and the hyperbolic wave equation, not the elliptic Laplacian, because j2=+1j² = +1. This earns analytic structure without importing complex analysis, and it supplies the admissible-map grammar that Book II will use to derive continuity and topology.

What this step earns

τ-holomorphy as ω-germ transformer is made addressable as Step 013 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:238)

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

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