| # FSOT law audit — linguistics / translation path |
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| **Date:** 2026-07-21 |
| **Archive master:** `I:\FSOT-Physical-Archive\02_FSOT-2.1-Lean-Full\vendor\fsot_compute.py` |
| **Product:** Ada/SPARK `pflt_main.exe` + Python data factory |
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| ## Authority pin |
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| | Check | Result | |
| |-------|--------| |
| | SHA-256 of archive `fsot_compute.py` | `d1d38a185487b452e470ac68ece2eb45aeb1ca9ce25fc9bf9564c19633ffbe70` | |
| | Prefix | **D1D38A** | |
| | Ada `PFLT_Authority.Expected_Digest` | matches full digest | |
| | Live pin in product | `authority_ok` / `live_pin` | |
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| ## Formula (no free fit knobs) |
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| \[ |
| S = K(T_1 + T_2 + T_3) |
| \] |
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| - Seeds: \(\pi, e, \varphi, \gamma, G_{\mathrm{Catalan}}\) |
| - Layer-1/2 constants derived only from seeds (see archive §1–§3) |
| - **No ad-hoc** \(\exp(-\eta)/m_{\mathrm{pl}}\) damping found in scalar engine |
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| ### Term structure (archive = Ada = PFLT Python) |
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| | Term | Role | |
| |------|------| |
| | **T1** | Observer-modulated base: \(NP/\sqrt{D}\), cos/exp/growth, \(D\)-scale, optional quirk if observed | |
| | **T2** | Linear modulation: `scale * amplitude + trend_bias` | |
| | **T3** | Valve × acoustic × phase | |
| | **S** | \(K \times (T1+T2+T3)\) | |
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| ## Cross-verify (archive vs `PFLT_FSOT_2_1_aligned.compute_S_D_chaotic`) |
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| | Domain inputs | Archive \(S\) | PFLT Python \(S\) | \|diff\| | |
| |---------------|---------------|-------------------|---------| |
| | Linguistic (D=12, obs) | 0.6513247618849 | 0.6513247618849 | **0** | |
| | Cosmological (D=25) | −0.5024559462100 | −0.5024559462100 | **0** | |
| | Historical (D=21, obs) | 0.6325783360136 | 0.6325783360136 | **0** | |
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| Ada converse linguistic panel reports the same \(S \approx 0.651324761884897\). |
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| ## How law touches linguistics (not ad-hoc) |
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| | Layer | Uses law? | Notes | |
| |-------|-----------|--------| |
| | Form→gloss densify / train_mass | **No free S** | Lexical densify; students never rewrite law | |
| | `PFLT_Translate` / morph peels | Surface map | Gloss inventory only | |
| | `PFLT_Converse` | **Yes** | Every turn: domain route → `Compute_Panel` → print \(S,T1,T2,T3\) + pin D1D38A | |
| | `PFLT_Cert` | **Yes** | Blocks ungrounded numeric law claims | |
| | Domain atlas / anchors | Inputs to panel | \(D_{\mathrm{eff}}\) etc. from domain catalog, not fitted BLEU knobs | |
| | M6 sentence BLEU | Surface metric | Phrase table climb; **not** a replacement for \(S=K(T1+T2+T3)\) | |
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| ## Ad-hoc scan result |
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| | Location | Finding | |
| |----------|---------| |
| | Archive `compute_scalar` | Canonical; zero free params beyond seeds | |
| | Ada `PFLT_Scalar.Compute_Panel` | Structural match to archive | |
| | Ada `PFLT_Constants` | Frozen f64 seeds/derived constants | |
| | Python `compute_S_D_chaotic` | Bit-for-bit panel match on domain fixtures | |
| | M6 / densify / peels | **Not** alternate scalars; surface translation only | |
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| **Conclusion:** Linguistics densifies knowledge **under** FSOT. Translation quality metrics do not redefine \(K\) or \(T_i\). Law remains master; students densify only. |
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| ## Coverage snapshot (at audit) |
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| See `reports/gap_fill_verify.json` / `COMPETITOR_PUSH.md`: |
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| - **113** language codes solidified (n≥200 for former thin set) |
| - OPEN/PRODUCT form→gloss **~99.99%** |
| - M6 sentence path: climbing offline (not neural parity) |
| - Unique: pin + classical/visual + offline densify |
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