ITU Tier 1+ #13: Robotics (Kᵣobot)

Tier 1+ Pass-1. 5 paper 13 of 45. ITU-derived robotics on sensor + actuator + planning + learning + safety. Defines Kᵣobot = -log ρᵣobot as the operator-algebraic modular Hamiltonian on Hₛensor ⊗ Hₐctuator ⊗ Hₚlanning ⊗ Hₗearning ⊗ Hₛafety. Kᵣobot inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Boston Dynamics Atlas/Spot, Tesla Optimus 2025, surgical robots da Vinci, Open-X-Embodiment 2024 1M+ episodes. Topics covered. Tesla Optimus 2025, Figure 02 2024. 8, Boston Dynamics, RT-2 Google 2023, Open-X-Embodiment 2024. 10, humanoid investment 40B 2024. 45-vertex polytope #13 top couplings: #2 AI (0. 92), #14 Comm (0. 92), #12 Robot (0. 85), #15 Infra (0. 85). Ten falsifiable predictions: Pₐvg=0. 66: arXiv 2026 (0. 90 S), Humanoid mass production 2028 (0. 55 M), Robot taxi commercial 2027 (0. 65 M). Pass-2 roadmap: ~1. 7M: Robot analytics (600K) + Lean Mathlib (200K) + Industry partnerships (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.