Step 035 — Hartogs bulk projection
For each admitted hom-object locus, the local T²-fiber acts as a two-dimensional boundary surface carrying the four-atom character data.
For each admitted hom-object locus, the local -fiber acts as a two-dimensional boundary surface carrying the four-atom character data.
Book / layer. Book III · E1
Macro step. CS-04 — Identify the Physical Carrier
Short routes. https://prrp.site/s35 · https://prrp.site/s035
Status tags. bridge
Construction role
For each admitted hom-object locus, the local -fiber acts as a two-dimensional boundary surface carrying the four-atom character data. Hartogs-type extension projects this boundary data into a local three-dimensional bulk. The bulk is therefore not inserted as hidden space; it is the interior determined by the boundary grammar. At this stage the theorem is local: each admissible boundary determines its own bulk patch. The three-effective-dimensional readout remains subject to Book III’s stated dimensional-accounting caveat. What remains unproved here is whether all such patches glue into one coherent carrier.
What this step earns
Hartogs bulk projection is made addressable as Step 035 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:524)
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 034 — Central-Theorem constraint on physical loci
- Next: Step 036 — Local-to-global gluing burden
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