docs/CROSS_LINGUAL_FSOT.md

# Cross-lingual analysis under FSOT

**Built:** 2026-07-21T16:50:31.075216+00:00
**Law:** `S=K(T1+T2+T3)` · pin **D1D38A**

## Unique stack (already shipping)

Intrinsic free-parameter FSOT model — competitors have no law pin, no offline classical+visual densify stack, and no cert-gated converse under the same constitution.

Cross-lingual mapping is a surface of FSOT intelligence: densify knowledge without rewriting seed law. English gloss is a temporary pivot for analysis; meaning is law-grounded densify, not a cloud API.

## Catalog solidification

| Metric | Value |
|--------|------:|
| Language codes | **113** |
| OPEN-SET form→gloss | **99.99%** |
| PRODUCT form→gloss | **99.99%** |
| All langs ≥95% (n≥20) | **True** |
| Solid (n≥50 & OK) | 106 |
| Thin (n<50) | 7 |
| Gap to 100 codes | 0 |

## Breadth vs competitors

| System | Languages (order of magnitude) |
|--------|-------------------------------:|
| Google Translate | ~249 |
| NLLB | ~200 |
| DeepL | 30–100 |
| **PFLT (FSOT)** | **113** (56% of NLLB, 45% of Google) |

## English-gloss hub (cross-lingual connectivity)

- Gloss keys sampled: 40058
- Concepts shared by ≥3 languages: **1762**

### Top shared concepts

| Gloss | # langs | Sample langs |
|-------|--------:|--------------|
| order | 12 | arc, de, es, fr, it, ja, nl, pl, pt, ru, sga, tr |
| say | 12 | de, es, fr, it, ja, la, nl, orv, pl, pt, ru, sv |
| help | 11 | ar, cu, es, fr, it, nl, osx, pt, ru, sv, tr |
| see | 11 | cu, de, es, fr, it, ja, osx, pt, ru, san, sv |
| work | 11 | de, es, fr, grc, it, nl, non, pt, ru, sga, sv |
| bear | 11 | cu, es, fr, grc, it, ja, nl, pl, pt, ru, san |
| sound | 11 | ang, es, fr, it, ja, nl, ru, san, sv, tr, xcl |
| leave | 11 | de, es, fr, got, grc, it, ja, pl, pt, sv, tr |
| female given name | 11 | de, es, fr, it, ja, nl, pl, pt, ru, sv, tr |
| remain | 10 | cu, egy, es, fr, it, ja, la, nl, pt, sv |
| kill | 10 | cu, de, es, fr, it, nl, pl, pt, sga, sv |
| throw | 10 | cu, de, es, fr, he, it, pt, san, tr, xcl |
| sing | 10 | ang, cu, de, es, fr, it, osx, pl, pt, sv |
| sin | 10 | ar, cop, es, fr, got, grc, la, roa-opt, sga, sv |
| raise | 10 | arc, de, es, fr, it, ja, nl, pt, san, sv |

### Top language pairs (via shared gloss)

| Pair | Shared concepts |
|------|----------------:|
| ru-sv | 298 |
| fr-it | 269 |
| nl-sv | 245 |
| fr-sv | 236 |
| fr-nl | 230 |
| it-nl | 225 |
| nl-ru | 225 |
| it-sv | 223 |
| es-it | 221 |
| it-pt | 219 |
| de-ru | 216 |
| de-nl | 215 |
| fr-pt | 210 |
| ja-ru | 204 |
| it-ru | 200 |

## Multi-source translation probes (form→EN gloss path)

| Lang | Coverage | Source | Hyp (EN surface) |
|------|----------|--------|------------------|
| es | 1.0 | hola mundo | hello world |
| fr | 1.0 | bonjour monde | hello world |
| de | 1.0 | hallo welt | hello world |
| it | 1.0 | ciao mondo | hello world |
| la | 1.0 | aqua lingua | water language |
| pt | 1.0 | ola mundo | hello world |
| nl | 1.0 | hallo wereld | hello world |
| ru | 1.0 | привет мир | hello world |
| ja | 1.0 | 水 | water |
| zh | 1.0 | 水 | water |
| ar | 1.0 | ماء | water |
| hi | 1.0 | नमस्ते | hello |
| sw | 1.0 | jambo | hello |
| tr | 1.0 | merhaba dünya | hello world |
| pl | 1.0 | cześć świecie | hello world |
| ko | 1.0 | 안녕 | hello |
| he | 1.0 | שלום | peace |
| el | 1.0 | γεια | hi |
| ga | 1.0 | dia dhuit | Genderless alternative |
| eo | 1.0 | saluton mondo | hello world |

## M6 sentence snapshot (not parity claim)

BLEU-4 **2.44** · B1 **43.87** · U-F1 **34.31** · cov **90.33%**

Climbing offline toward competitive sentence bars; law remains master.

## Thin languages (fill next)

| Lang | n | Open% | Product% |
|------|--:|------:|---------:|
| roa-opt | 47 | 100.0 | 100.0 |
| orv | 36 | 100.0 | 100.0 |
| osp | 34 | 100.0 | 100.0 |
| mga | 25 | 100.0 | 100.0 |
| pro | 17 | 100.0 | 100.0 |
| pal | 10 | 100.0 | 100.0 |
| hit | 3 | 100.0 | 100.0 |

## Per-language (n≥20)

| Lang | n | Open% | Product% | OK |
|------|--:|------:|---------:|:--:|
| ko | 14646 | 100.0 | 100.0 | Y |
| la | 11360 | 100.0 | 100.0 | Y |
| pl | 8037 | 100.0 | 100.0 | Y |
| sv | 6452 | 100.0 | 100.0 | Y |
| ja | 6342 | 100.0 | 100.0 | Y |
| de | 6002 | 100.0 | 100.0 | Y |
| hi | 5731 | 100.0 | 100.0 | Y |
| ru | 5564 | 100.0 | 100.0 | Y |
| it | 5428 | 100.0 | 100.0 | Y |
| tr | 5162 | 100.0 | 100.0 | Y |
| es | 5028 | 100.0 | 100.0 | Y |
| pi | 4765 | 100.0 | 100.0 | Y |
| ca | 4619 | 100.0 | 100.0 | Y |
| fr | 4566 | 100.0 | 100.0 | Y |
| pt | 4356 | 100.0 | 100.0 | Y |
| nl | 4305 | 100.0 | 100.0 | Y |
| vi | 4079 | 100.0 | 100.0 | Y |
| grc | 3966 | 100.0 | 100.0 | Y |
| id | 3814 | 100.0 | 100.0 | Y |
| ang | 2789 | 99.96 | 99.96 | Y |
| egy | 2044 | 100.0 | 100.0 | Y |
| ar | 1319 | 100.0 | 100.0 | Y |
| got | 1133 | 99.91 | 99.91 | Y |
| he | 917 | 100.0 | 100.0 | Y |
| san | 910 | 100.0 | 100.0 | Y |
| non | 806 | 100.0 | 100.0 | Y |
| fa | 740 | 100.0 | 100.0 | Y |
| sga | 603 | 99.83 | 99.83 | Y |
| cu | 600 | 100.0 | 100.0 | Y |
| akk | 544 | 100.0 | 100.0 | Y |
| cop | 504 | 100.0 | 100.0 | Y |
| bn | 500 | 100.0 | 100.0 | Y |
| cs | 500 | 100.0 | 100.0 | Y |
| el | 500 | 100.0 | 100.0 | Y |
| fi | 500 | 100.0 | 100.0 | Y |
| hu | 500 | 100.0 | 100.0 | Y |
| ms | 500 | 100.0 | 100.0 | Y |
| ro | 500 | 100.0 | 100.0 | Y |
| sw | 500 | 100.0 | 100.0 | Y |
| ta | 500 | 100.0 | 100.0 | Y |
| th | 500 | 100.0 | 100.0 | Y |
| uk | 500 | 100.0 | 100.0 | Y |
| zh | 500 | 100.0 | 100.0 | Y |
| arc | 498 | 100.0 | 100.0 | Y |
| osx | 464 | 100.0 | 100.0 | Y |
| peo | 415 | 100.0 | 100.0 | Y |
| syc | 409 | 100.0 | 100.0 | Y |
| sum | 404 | 100.0 | 100.0 | Y |
| da | 400 | 100.0 | 100.0 | Y |
| gl | 400 | 100.0 | 100.0 | Y |
| eo | 400 | 100.0 | 100.0 | Y |
| mk | 400 | 100.0 | 100.0 | Y |
| bg | 400 | 100.0 | 100.0 | Y |
| nn | 400 | 100.0 | 100.0 | Y |
| tl | 400 | 100.0 | 100.0 | Y |
| ga | 400 | 100.0 | 100.0 | Y |
| cy | 400 | 100.0 | 100.0 | Y |
| lt | 400 | 99.75 | 99.75 | Y |
| is | 400 | 100.0 | 100.0 | Y |
| sq | 400 | 100.0 | 100.0 | Y |
| ka | 400 | 100.0 | 100.0 | Y |
| hy | 400 | 100.0 | 100.0 | Y |
| te | 400 | 100.0 | 100.0 | Y |
| ceb | 400 | 99.75 | 99.75 | Y |
| gd | 400 | 100.0 | 100.0 | Y |
| az | 400 | 100.0 | 100.0 | Y |
| sk | 400 | 100.0 | 100.0 | Y |
| eu | 400 | 100.0 | 100.0 | Y |
| ur | 400 | 100.0 | 100.0 | Y |
| ml | 400 | 100.0 | 100.0 | Y |
| pa | 400 | 100.0 | 100.0 | Y |
| et | 400 | 100.0 | 100.0 | Y |
| yi | 400 | 100.0 | 100.0 | Y |
| kk | 400 | 100.0 | 100.0 | Y |
| km | 400 | 100.0 | 100.0 | Y |
| my | 400 | 100.0 | 100.0 | Y |
| af | 400 | 99.75 | 99.75 | Y |
| be | 400 | 100.0 | 100.0 | Y |
| gu | 400 | 100.0 | 100.0 | Y |
| sl | 400 | 100.0 | 100.0 | Y |
| mn | 400 | 100.0 | 100.0 | Y |
| oc | 400 | 100.0 | 100.0 | Y |
| yo | 400 | 100.0 | 100.0 | Y |
| mr | 400 | 100.0 | 100.0 | Y |
| jv | 400 | 100.0 | 100.0 | Y |
| haw | 400 | 100.0 | 100.0 | Y |
| am | 400 | 100.0 | 100.0 | Y |
| ne | 400 | 100.0 | 100.0 | Y |
| qu | 400 | 100.0 | 100.0 | Y |
| zu | 400 | 100.0 | 100.0 | Y |
| xh | 400 | 100.0 | 100.0 | Y |
| ha | 400 | 100.0 | 100.0 | Y |
| so | 400 | 100.0 | 100.0 | Y |
| ps | 400 | 100.0 | 100.0 | Y |
| si | 400 | 100.0 | 100.0 | Y |
| lv | 400 | 100.0 | 100.0 | Y |
| enm | 400 | 99.5 | 99.5 | Y |
| fro | 400 | 100.0 | 100.0 | Y |
| frm | 400 | 100.0 | 100.0 | Y |
| goh | 400 | 100.0 | 100.0 | Y |
| gmh | 400 | 100.0 | 100.0 | Y |
| nb | 400 | 100.0 | 100.0 | Y |
| sh | 400 | 100.0 | 100.0 | Y |
| en | 228 | 100.0 | 100.0 | Y |
| xcl | 175 | 100.0 | 100.0 | Y |
| uga | 96 | 100.0 | 100.0 | Y |
| roa-opt | 47 | 100.0 | 100.0 | Y |
| orv | 36 | 100.0 | 100.0 | Y |
| osp | 34 | 100.0 | 100.0 | Y |
| mga | 25 | 100.0 | 100.0 | Y |

## Next under FSOT

- Continue Kaikki to100 until catalog≥100 with all n≥50 solid
- Boost thin historical codes (hit/sum/syc/pal/peo)
- M6 CJK BPE / larger phrase mass for ja/zh
- Optional Ada converse smoke on multi-lang probes