Step 056 — Three generations from topology

Generation structure is read from the topology of the $T^2$-fiber rather than postulated as a repeated particle table.

Book / layer. Book IV · E1
Macro step. CS-05 — Recover Internal Physical Grammar
Short routes. https://prrp.site/s56 · https://prrp.site/s056

Status tags. bridge readout

Construction role

Generation structure is read from the topology of the $T^2$-fiber rather than postulated as a repeated particle table. The three generations correspond to the admissible fundamental-cycle structure of the fiber-mode grammar; a fourth generation would require a topology the carrier does not supply. The inspection question is not whether other topologies could be imagined, but whether any admissible τ-internal variation of the earned $T^2$-fiber changes the generation count.

What this step earns

Three generations from topology is made addressable as Step 056 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:777)

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 055 — Confinement as address irresolvability
• Next: Step 057 — Sector atlas, masses, nuclei

Navigate

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