ITU Tier 1+ #4: Semiconductor Scaling (Kₛemi)

Tier 1+ Pass-1. 5 paper 4 of 45. Operator-algebraic semiconductor-scaling theory unifying Moore's law + EUV + supply chain. Defines Kₛemi = -log ρₛemi as the operator-algebraic modular Hamiltonian on Hₗithography ⊗ Hdevice ⊗ Hᵧield ⊗ Hₛupply. Kₛemi inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Moore's law transistor density 1971-2024, TSMC N2 2025, EUV lithography 13. 5nm, Dennard scaling end. Topics covered. TSMC 2nm 2025, ASML High-NA EUV 2023, CHIPS Act 2022. 8. 9 52B, Samsung GAA, Intel 18A, Huawei 7nm Mate 60 Pro. 45-vertex polytope #4 top couplings: #3 Kcrypto (0. 85), #13 Kᵣobot (0. 85), #14 Kcomm (0. 85). Ten falsifiable predictions: Pₐvg=0. 65: arXiv 2026 (0. 90 S), TSMC N2 production 2025 (0. 85 S), Sub-1nm by 2030 (0. 55 M). Pass-2 roadmap: ~1. 5M: Semi analytics (500K) + Lean Mathlib (200K) + Foundry partnerships (800K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.