What question did this study set out to answer?

This research aims to define a comprehensive operator-algebraic framework for robotics integrating various components such as sensors and planning.

May 21, 2026Open Access

ITU Tier 1+ #13: Robotics (Kᵣobot)

Key Points

This research aims to define a comprehensive operator-algebraic framework for robotics integrating various components such as sensors and planning.
Defined K_robot as the operator-algebraic modular Hamiltonian on multiple robotics components.
Conducted numerical evaluations using data from various robotics platforms including Boston Dynamics and Tesla.
Predicted outcomes related to humanoid robotics and robotic services in specified future years.
Predicted average values for ten robotics advancements, notably a robot taxi commercial launch by 2027 (P_avg=0.65).
Projected mass production of humanoid robots by 2028 with a probability of 0.55.
Forecasted total costs for various robotics initiatives, estimating $1.7M across multiple sectors.

Abstract

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.

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Cite This Study

Munehiro Terada (Tue,) studied this question.

synapsesocial.com/papers/6a0ea0f7be05d6e3efb5f5d8 https://doi.org/https://doi.org/10.5281/zenodo.20271997

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