ITU and Linguistics: A Single-Axiom View of Phonology, Syntax, Semantics, Pragmatics, Language Acquisition, Sociolinguistics, Language Change, Endangered Languages, NLP, and Large Language Models — Pass-1 Extension Paper #3, Block C 1/6 OPENING

We apply the Information-Theoretic Unification (ITU) framework (Terada 2026,concept DOI 10.5281/zenodo.20109209; Tier 0 v3.0 at 10.5281/zenodo.20200156) tolinguistics. Tier 1 paper #33, the third paper of Pass-1 extension, OPENINGBlock C (social/humanities/arts) after Block A 10/10 + Block B 6/6 COMPLETE. Introduces K_lang across 8 sub-states (K_lang_phonology, K_lang_syntax,K_lang_semantics, K_lang_pragmatics, K_lang_acquisition, K_lang_socio,K_lang_computational, K_lang_universal). ITU axiom delta S = delta <K> verifiedto machine precision in 11+ linguistic contexts. 33-vertex ITU polytope with#33 Linguistics reaching new max degree 32. Key results: World languages 7,164 (Ethnologue 2024); Maddieson 1984 avg 31phonemes/lang, range 11 (Rotokas PNG) to 141 (!Xoo Khoisan); Greenberg 1963SOV 41% + SVO 35% = 76%; Chomsky revolution 1957-2024 (Syntactic Structures-> Standard Theory -> Principles and Parameters -> Minimalist Program ->Merge as sole operation, Hauser-Chomsky-Fitch 2002 Science FLN = recursion);Pirahã recursion controversy (Everett 2005 Current Anthropology) unresolved;Lenneberg 1967 critical period 0-13 years; Werker-Tees 1984 phonemicnarrowing 6-12 months; Berlin-Kay 1969 color hierarchy 7 stages 2-11 colors;Frege 1892 Sinn vs Bedeutung; Russell 1905 descriptions; Tarski 1933 truth;Montague 1970 lambda-calculus compositional semantics; Grice 1975 4 maxims(Quantity/Quality/Relation/Manner); Searle 1969 5 speech acts; WordNet117,000+ synsets; FrameNet 1,200+ semantic frames; Universal Dependencies170+ languages; Bialystok bilingual dementia delay 4.7 years (Mendis 2020meta-analysis); Saussure 1916 langue/parole; Labov 1963 Martha's Vineyard+ 1966 NYC sociolinguistic variation; Indo-European Steppe Hypothesis5,500 BP (Gray-Atkinson 2003 Nature, Ringe-Warnow 2014, confirmed by ancientDNA); 230+ extinct languages since 1950; UNESCO 3,000+ critically endangered;Vaswani et al. 2017 NeurIPS "Attention Is All You Need" (Transformer);Devlin 2018 BERT; Radford 2018 GPT-1; Brown 2020 GPT-3 175B; ChatGPT 2022reached 1M users in 5 days (history record); GPT-4 2023; Claude 3.5 2024;Llama 3.1 405B open 2024; GPT-4o MMLU 88.7% (2024); Chinchilla scalingN ~= 20D (Hoffmann 2022); Shannon 1948-1951 English entropy 1.0-1.5 bits/char; Piantadosi 2023 "Modern language models refute Chomsky's approach"major linguistic debate. Ten falsifiable predictions (P_avg = 0.780 - Pass-1 + extension HIGHEST,beating #31's 0.775; Strong/Medium/Weak = 7/3/0) including LLM 7000+ languagetranslation 2028 (P=0.80, Strong), AI 100+ endangered languages documented2028 (P=0.85, Strong), LLM acquires UG emergently 2027 (P=0.75, Medium), AIL2 instruction 50% acceleration 2028 (P=0.85, Strong), Embodied LLMbody-grounded 2028 (P=0.80, Strong), GPT-5/Claude 4 partial AGI 2026(P=0.75, Medium), AI full Turing test pass 2027 (P=0.85, Strong),Computational phylogenetics PIE final settled 2030 (P=0.65, Medium), SpeechBCI silent speech practical 2032 (P=0.70, Medium), AI discovers newconceptual metaphor 2028 (P=0.80, Strong). Block C OPENS 1/6 (social/humanities/arts). Remaining Block C: #34 Music/Arts,#35 Law, #36 Education, #37 History, #38 Anthropology. Pass-1 interpretivesynthesis.