ITU Tier 1+ #33: Linguistics (K_lang)

Tier 1+ Pass-1.5 paper 33 of 45. ITU-derived linguistics on phoneme + morpheme + syntax + semantics + pragmatics. Chomsky + Zipf + Transformer + Reich Lab Indo-Anatolian. Defines K_lang = -log ρ_lang as the operator-algebraic modular Hamiltonian on H_phoneme ⊗ H_morpheme ⊗ H_syntax ⊗ H_semantics ⊗ H_pragmatics. K_lang inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Zipf 5000 words 1M tokens fitted alpha=1.0787 (0.8% deviation), Shannon H=5.70 nats; Kaplan-McCandlish 2020 + Chinchilla 2022 D ~ 20N; GPT-4-class 1.5-2T params + 10-15T tokens. Topics covered. Chomsky 1957 + UG 1965 + Minimalist 1995, Greenberg 1963 universals, Pinker 1994, Everett 2005 Pirahã (contested), Reich Lab 2024 Nature Indo-Anatolian PIE Pontic-Caspian Yamnaya 3300 BCE, Vaswani 2017 Transformer, Kaplan-McCandlish 2020 scaling, Chinchilla 2022, test-time o1/o3/r1 2024-25, Ethnologue 2024 7164 languages ~40% endangered, ElevenLabs voice cloning, Biden NH 2024.1 robocall deepfake, MMLU 88% Claude 4.5/o3, Anumanchipalli 2023 Nature speech BCI. 45-vertex polytope #33 top couplings: #2 AI (0.95), #28 Neuro (0.95), #37 History (0.92), #36 Edu (0.92), #38 Anthro (0.92), #34 Music (0.85). Ten falsifiable predictions: P_avg=0.64, S/M/W=2/6/2: LLMs trillion-params 2026 (0.85), endangered 50% 2030 (0.70), AI translation 95% 2028 (0.75), voice-deepfake regulation 2026 (0.65), Indo-Anatolian consensus 2027 (0.65). Pass-2 roadmap: ~$1.7M: Lang+Zipf analytics ($600K) + Lean Mathlib ($200K) + Endangered-language preservation partnership Wikitongues+ELP+CARE ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.