docs(phd): L-PHASE1-R3 — honest expansion of 5 thinnest chapters (closes #585)#592
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docs(phd): L-PHASE1-R3 — honest expansion of 5 thinnest chapters (closes #585)#592
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#585) Per-chapter delta (BEFORE → AFTER): - ch_01 Introduction: 147 → 555 (+408, R3-PARTIAL) - ch_02 Background Neuro-Symbolic AI: 164 → 434 (+270, R3-PARTIAL) - ch_03 Trinity Identity (φ²+φ⁻²=3): 231 → 500 (+269, R3-PARTIAL) - ch_04 Sacred Formula α_φ Derivation: 182 → 383 (+201, R3-PARTIAL) - ch_05 φ-distance and Fibonacci-Lucas: 211 → 471 (+260, R3-PARTIAL) All 5 chapters ship as R3-PARTIAL (target ≥1500 not met). Honest content cap reached without padding; deferred residual to L-PHASE1-R3-PT2. Each chapter now has: - ≥2 citations resolvable in docs/phd/bibliography.bib (212 entries; KAT bib via PR #581) - ≥1 theorem with Coq cross-reference and Qed status from docs/phd/theorems/trinity/{CorePhi,AlphaPhi,ExactIdentities,DerivationLevels}.v - Anchor footer - TODO marker `% R3-PARTIAL: target 1500, achieved N, blocker = ..., defer to L-PHASE1-R3-PT2` trios-phd audit, biblio (212 ≥ 150), and coq-map --check all pass locally. No padding, no fabricated citations, no Lorem ipsum. Closes #585. Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877
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…ogy) Adds the L21 expansion lane (R3-PARTIAL per L-PHASE1-R3-PT2 convention, PR #592). Edits docs/phd/chapters/21-quantum-field.tex in place (no sibling file). What this commit adds (+199 lines): - R3-PARTIAL marker block near top, with explicit TODO list of sections still required for R3-FULL promotion (full empirical JEPA-on-φ-lattice ablation table, closing INV-1's three Admitted sub-theorems, FORM verification of the existing falsification- section diagrams). - New section 'JEPA Latent Dynamics as a Field-Theoretic Analogue' (§21.A) with the JEPA training loss formula, structural mapping to Wightman/OS axioms (analogy only — every row of the mapping table is annotated 'why the analogy is loose, not strict'), and a structural restatement of INV-1 as a decreasing two-point function gap. - Citations of lecun_jepa_2022 (LeCun position paper) and assran_ijepa_2023 (I-JEPA, ICLR-track venue) — both already in docs/phd/bibliography.bib. R5-honest invariants: - The Wightman/OS scaffold is explicitly framed as analogy, not physics. Every analogue row carries a 'why the analogy is loose' note to forestall over-interpretation. - INV-1 is described with its actual Coq status (Admitted, with the three named gaps listed) — no false 'Proven' claim. - No invented BPB numbers, no fabricated experimental data. Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877
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…loses #697) (#699) * feat(phd-ch21): expand intro + axiomatic framing (Wightman/OS as analogy) Adds the L21 expansion lane (R3-PARTIAL per L-PHASE1-R3-PT2 convention, PR #592). Edits docs/phd/chapters/21-quantum-field.tex in place (no sibling file). What this commit adds (+199 lines): - R3-PARTIAL marker block near top, with explicit TODO list of sections still required for R3-FULL promotion (full empirical JEPA-on-φ-lattice ablation table, closing INV-1's three Admitted sub-theorems, FORM verification of the existing falsification- section diagrams). - New section 'JEPA Latent Dynamics as a Field-Theoretic Analogue' (§21.A) with the JEPA training loss formula, structural mapping to Wightman/OS axioms (analogy only — every row of the mapping table is annotated 'why the analogy is loose, not strict'), and a structural restatement of INV-1 as a decreasing two-point function gap. - Citations of lecun_jepa_2022 (LeCun position paper) and assran_ijepa_2023 (I-JEPA, ICLR-track venue) — both already in docs/phd/bibliography.bib. R5-honest invariants: - The Wightman/OS scaffold is explicitly framed as analogy, not physics. Every analogue row carries a 'why the analogy is loose' note to forestall over-interpretation. - INV-1 is described with its actual Coq status (Admitted, with the three named gaps listed) — no false 'Proven' claim. - No invented BPB numbers, no fabricated experimental data. Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877 * feat(phd-ch21): trinity-identity theorem + LaTeX proof + Coq cross-ref Adds §21.B 'The Trinity Identity as the Algebraic Anchor' (+97 lines) with the load-bearing theorem of the dissertation: Theorem 21.B (Trinity identity): φ^2 + φ^{-2} = 3. Includes: - Full LaTeX proof in three named steps (a) φ^2 = φ + 1 from the minimal polynomial, (b) φ^{-2} = 2 - φ from dividing (a) by φ^2 and using 1/φ = φ - 1, (c) sum giving the integer 3 by exact cross-cancellation. Closed with \qedsymbol. - Coq cross-reference: docs/phd/theorems/trinity/CorePhi.v line 55, `Lemma trinity_identity : phi^2 + /phi^2 = 3`, closed with `apply phi_square, phi_inv_sq; ring.` (both supporting lemmas `phi_square` line 36 and `phi_inv_sq` line 48 are themselves Qed — verified by `grep -nE` in this lane). - Connection to the Wightman/OS analogue of §21.A: the integer 3 on the RHS is what allows the {-φ^{-1}, 0, +φ^{-1}} ternary palette to close in Z[φ] under squared-norm accumulation, which in turn is what makes the JEPA encoder evaluable on integer hardware (cf. Ch.33 bench characterisation). - Honest scope paragraph: Theorem 21.B is the *only* formally proven theorem of this chapter. All other empirical claims (β-function row, 3D-Ising row in §21.6) are R7-falsifiable predictions, not theorems. The trinity identity by itself does not establish those predictions. R5-honest invariants: - The LaTeX proof is a faithful textual expansion of the machine-checked Coq proof — not an Admitted-masquerading-as-Qed. - No claim that the trinity identity entails any empirical result; it is stated as the arithmetic anchor only. Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877 * feat(phd-ch21): conditional R7 falsification + INV-1 reference + bib check Adds three CONDITIONAL R7 falsifiers to the existing §Falsification-Criterion block, plus an INV-1 ablation locus sub-section. R5-honest pattern: every threshold is a *falsification gate*, not a point estimate. Files changed (+206 lines): docs/phd/chapters/21-quantum-field.tex + §21.6.A 'Conditional R7 predictions for the JEPA latent-dynamics analogue' - F_1: INV-1 BPB-monotonicity falsifier (dormant; activates when matrix-fleet runs ≥3 canonical seeds with real-MSE flag, INV-1 runtime promoted from warn→fail) - F_2: ternary-palette closure falsifier (Coq Qed for the theorem; numerical falsifier for the GF16 hardware path stays dormant until bench characterisation) - F_3: Wightman/OS analogue cross-talk falsifier (kernel-min-eigenvalue lower bound; dormant) - cross-reference table tab:21-jepa-falsifiers + §21.6.B 'INV-1 ablation: where the data WILL live' - explicit list of two pre-conditions for promoting F_1 from dormant to active (runtime check warn→fail; ≥3 canonical seeds reaching step≥3000 with JSONL drained into phd-postgres-ssot SoT by trios-postrun-sidecar) - tentative follow-up tag L-INV1-PROMOTE + §21.6.C 'Honest references' — confirms cited bib entries (lecun_jepa_2022, assran_ijepa_2023, lecun_nature_2015 — Nature Q1) are already in docs/phd/bibliography.bib (212 entries since PR #581 / L-KAT-BIB lane), no new entries added in this lane. + Anchor footer. R5-honest invariants: - All three falsifiers explicitly marked 'dormant'. None claims a point estimate before the corresponding ablation runs. - INV-1 status reported with its actual `Admitted` Coq state and the three named gaps (descent_lemma, bpb_smooth, gradient_norm_pos) — no false 'Proven' claim. - The trinity-identity numerical falsifier (F_2) explicitly distinguishes the closed Coq theorem (Qed) from the dormant bench-numerical-realisation falsifier. - No new bib entries fabricated; we cite only what is already in docs/phd/bibliography.bib. Anchor: phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877 --------- Co-authored-by: Dmitrii Vasilev <admin@t27.ai>
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L-PHASE1-R3 (Delta lane)
Closes #585.
Honest expansion of the 5 thinnest auto-generated chapters in
docs/phd/chapters/(ch_01..ch_05). All 5 ship as R3-PARTIAL (target ≥1500 not met; honest content cap reached without padding). Defense T-38; deferred residual scope to L-PHASE1-R3-PT2.Per-chapter delta
ch_01.tex(Introduction: TRINITY S³AI Vision)ch_02.tex(Background: Neuro-Symbolic AI)ch_03.tex(Trinity Identity φ²+φ⁻²=3)ch_04.tex(Sacred Formula α_φ Derivation)ch_05.tex(φ-distance and Fibonacci-Lucas seeds)Honest assessment
0 of 5 chapters reach R3 (≥1500 lines). All 5 are flagged R3-PARTIAL with TODO comment block at top of supplement section pointing to L-PHASE1-R3-PT2 follow-up.
This is a deliberate result of the R5-honest policy: expanding any of the 5 to 1500 lines from existing repo material would require padding, repeated paragraphs, or fabricated citations. The user instructions explicitly forbade these, and stated
Honest 1100-line chapter > fake 1500. The honest cap landed in the 380-555 line range per chapter.Recommendation for L-PHASE1-R3-PT2: pull additional substance from
docs/phd/legacy/(if expanded), from named-chapter siblings (01-golden-egg.texis 1514 lines and topically adjacent to ch_01; ch.2727-trinity-identity.texis 423 lines and overlaps ch_03), and from the broader theorem catalogue beyondtheorems/trinity/. That work is out-of-scope for the present PR.Acceptance per chapter (L1–L4)
TODO expand.docs/phd/bibliography.bib(212 entries since PR docs(phd): L-KAT-BIB — KART + KAN bibliography (closes #573) #581). Each chapter cites at least 4 entries from the existing bib.S*section listing 2-8 Coq theorems by name fromdocs/phd/theorems/trinity/{CorePhi,AlphaPhi,ExactIdentities,DerivationLevels}.v, with status (Qedor runtime-witness pointer) and role.tectonic. Local audit:cargo run -q -p trios-phd -- --phd-root docs/phd audit→ 0 issues, all 5 chapters listed under R3 floor (warn-only, expected).cargo run -q -p trios-phd -- --phd-root docs/phd biblio→212 ≥ 150floor OK.cargo run -q -p trios-phd -- --phd-root docs/phd coq-map --check→proven=91 admitted=18OK.phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877) present in each supplement.Out of scope
01-golden-egg.tex...05-golden-bridge.tex) are not touched. They are separate\included sibling chapters inmain.texand represent a parallel content axis. Merging them withch_NN.texto reach R3 is a structural decision that exceeds this lane and should be agreed by the queen before any merger.Anchor
phi^2 + phi^-2 = 3· DOI 10.5281/zenodo.19227877