What question did this study set out to answer?

The study aims to define K_smartcity through an operator-algebraic modular Hamiltonian framework and to explore its implications for smart city development.

May 21, 2026Open Access

ITU Tier 1+ #16: Smart City (Kₛmartcity)

Key Points

The study aims to define K_smartcity through an operator-algebraic modular Hamiltonian framework and to explore its implications for smart city development.
Utilized ITU-derived smart-city theory to define K_smartcity as an operator-algebraic Hamiltonian.
Analyzed various smart city projects, including Sidewalk Toronto and Toyota Woven City, to assess theoretical and numerical results.
Established ten falsifiable predictions related to smart city developments and planned investments.
K_smartcity framework established yields a modular structure for understanding urban dynamics.
Predictions include Woven City scale-up by 2027 (0.55 M) and NEOM Line segment completion by 2030 (0.45 W).
Numerically evaluated polytope couplings indicated high relation strength among sensors, traffic control, and data governance.

Abstract

Tier 1+ Pass-1. 5 paper 16 of 45. ITU-derived smart-city theory on sensor + traffic + service + governance + data. Defines Kₛmartcity = -log ρₛmartcity as the operator-algebraic modular Hamiltonian on Hₛensor ⊗ Hₜraffic ⊗ Hₛervice ⊗ Hgovernance ⊗ Hdata. Kₛmartcity inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Sidewalk Toronto cancelled 2020, Songdo South Korea, Toyota Woven City 2024 opened, Saudi NEOM The Line. Topics covered. Sidewalk Toronto cancelled, Toyota Woven City Feb 2024 opened, Saudi NEOM The Line, Singapore smart city, Barcelona superblocks. 45-vertex polytope #16 top couplings: #15 Infra (0. 92), #13 Robot (0. 85), #2 AI (0. 85), #14 Comm (0. 85). Ten falsifiable predictions: Pₐvg=0. 66: arXiv 2026 (0. 90 S), Woven City scale-up 2027 (0. 55 M), NEOM Line 2. 4km segment by 2030 (0. 45 W). Pass-2 roadmap: ~1. 6M: Smartcity analytics (500K) + Lean Mathlib (200K) + City partnerships (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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