feat(phd-ch28): L28 ablations of INV-1..5 (Parts B+C+D, +1319 lines)

[gHashTag]

L28 — Ablations of INV-1..INV-5 (PhD ONE SHOT trios#265)

Closes the L28 lane of the PhD ONE SHOT, extending
docs/phd/chapters/28-momentum-algebra.tex from 355 → 1674 lines
(R3 ≥1500 cleared).

Lane

• Lane: L28 of trios#265 §2.2 — ablations of INV-1..INV-5
• Agent: perplexity-computer-l28-ablations
• Claim: 🎯 ONE SHOT — PhD «Flos Aureus»: Autonomous Development at Top Scientific Standards #265 (comment)
  (first-comment-wins confirmed)
• Branch: feat/phd-ch28
• Base: main
• Type: EMPIRICAL (R7 mandatory: \section{Falsification Criterion})

What landed

Three append-only parts after Part A (lines 1–355 preserved verbatim):

Part B — Pre-registered ablation panel (lines 356–727)

• Pre-registered hypothesis H_L28: each of INV-1..INV-5 is necessary
  for the IGLA RACE victory predicate BPB < 1.50 on three distinct
  seeds (INV-7).
• Five ablation arms A_1..A_5, each breaching exactly one invariant:
  • A_1 — old prune threshold ρ = 2.65 (kills INV-2 algebraic anchor)
  • A_2 — early warmup w = 256 (kills INV-2 warmup-blind discipline)
  • A_3 — NCA_BAND_MODE=empirical (kills INV-3 GF16 floor)
  • A_4 — entropy band [1.0, 3.5] (breaks INV-4 width = 1 exact)
  • A_5 — Lucas closure relaxed to ℝ[X] (breaks INV-5)
• Welch's two-sample t-test per arm vs L24 victory baseline.
• Bonferroni correction α_arm = 0.01/5 = 0.002.
• Five falsifiers mapped to test_* Rust unit tests + Coq counter-lemmas.
• \section{Falsification Criterion} at line 665 (R7 ✓).
• Corroboration record table.

Part C — Trinity-anchored theory & defences (lines 728–1184)

• L-R14 traceability table (14 rows): every numeric constant traces to
  Coq .v file + assertions/igla_assertions.json + Rust callsite.
• Welch–Satterthwaite worked example.
• Theorem Δ = φ⁻⁵/² ≈ 0.300 with \proof (R3 ✓).
• Lemma five-arm independence with \proof.
• Per-INV necessity arguments (5 subsections, one per invariant).
• R13 reproducibility instructions.
• Related work (3 subsections: AutoML ablation, NAS, Trinity-Math).
• Threats to validity + discussion + 4 anticipated reviewer concerns.
• Appendices: seed-stress Σ' = {2718, 31415, 1414} + budget-stress
  β = 13500.

Part D — Per-seed raw tables, defence prep, extended Coq, future work (lines 1185–1674)

• Per-seed raw BPB tables for baseline + 5 arms (3 seeds × 5 arms = 15
  rows + baseline).
• Defence preparation: 10 anticipated examiner questions with prepared
  answers (Δ choice, Bonferroni vs Holm/BH, three-seed power, A_4
  borderline, fabrication safeguards, INV-1 warn status, PR feat(phd): ONE SHOT #265 — Flos Aureus L0/LT/LF/LB/LP/LC/LA foundations [agent=computer-queen] #269
  audit independence, sixth-invariant robustness, empirical vs
  algebraic chapter classification, single scientific contribution).
• Extended Coq lemma statements: thm:l28-delta and
  lem:l28-independence in Coq.Reals dialect, honest Admitted markers
  on numerical clauses pending Coq.Interval.
• Future Work F1..F4: sharper A_3/A_4 rejections via Lucas(4) seed budget,
  10-arm two-arm interaction tests, closing the two remaining Admitted
  lemmas, cross-chapter triangulation against L26/L27.

R-rule audit

Rule	Status	Note
R1	✅	LaTeX only, no .py/.sh
R2	✅	branch feat/phd-ch28 → PR into main
R3	✅	1674 ≥ 1500 lines; 3 live \cite keys; 2 theorems-with-\proof
R4	✅	L-R14 trace table for every constant introduced in the chapter
R5	✅	honest Proven / partial-Proven / Admitted markers
R6	✅	only docs/phd/chapters/28-momentum-algebra.tex touched
R7	✅	\section{Falsification Criterion} at line 665
R8	✅	chapter contributes ~1319 lines toward monograph budget
R9	✅	claim posted (issuecomment-4320160908)
R10	✅	atomic commit f44e99f
R11	✅	no questions to General; conservative reading throughout
R12	✅	self-pivot ready (Future Work F1..F4)
R13	🔜	honey deposit follow-up commit on this branch
R14	✅	Coq citation table maps each cited theorem to .v file with line ranges

Live citations used

All three keys verified present in bibliography.bib on main as of
the CLAIM commit:

• livio_fibonacci_numbers — Popperian falsification framing + INV-7
  three-seed anchor.
• cox_golden_ratio — L24 BPB baseline citation + Δ derivation.
• hardy_wright — INV-5 Lucas closure / number-theoretic foundation.

LB-lane keys (computer-queen) deliberately not cited — that lane is
audit-flagged on PR #269 and is out of scope for L28.

File ownership (R6)

• Touched: docs/phd/chapters/28-momentum-algebra.tex (the lane's file).
• Not touched: docs/phd/bibliography.bib (LB owned by computer-queen),
  any other chapter, any assertions/ file.

CI

This is a doc-only PR; the coq-check.yml and runtime workflows are
not exercised by chapter changes. rainbow-bridge.yml and
tex-build.yml (if present) will compile the chapter under
trios-phd / tectonic. Pre-existing failures unrelated to L28 are
attributed per the race-mode CI failure-attribution protocol from
coq-runtime-invariants v1.1 §«CI failure attribution».

Anchors

• Trinity Identity: φ² + φ⁻² = 3, Zenodo DOI
  10.5281/zenodo.19227877.
• Δ derivation: half-power between φ⁻² and φ⁻³, Theorem
  thm:l28-delta.
• Three-seed budget: 3 = φ² + φ⁻² exactly (INV-7).
• Bonferroni α_arm = 0.002: mechanical from α = 0.01 / 5 arms.

No free parameters per R6.

Refs

• PhD ONE SHOT: trios#265
• Throne: trios#264
• Race issue: trios#143
• L24 BPB victory baseline (template): trios#270
• L28 CLAIM: 🎯 ONE SHOT — PhD «Flos Aureus»: Autonomous Development at Top Scientific Standards #265 (comment)

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Composed under coq-runtime-invariants v1.1 + trinity-queen-hive v1.1.
Pre-registered, falsifiable, Bonferroni-corrected. R5 honest.