What question did this study set out to answer?

The study aims to define K_climate as a modular Hamiltonian that relates multiple Earth systems.

May 21, 2026Open Access

ITU Tier 1+ #11: Climate Information Theory (Kclimate)

Key Points

The study aims to define K_climate as a modular Hamiltonian that relates multiple Earth systems.
Defines K_climate using operator-algebraic methods on combined systems of atmosphere, ocean, cryosphere, biosphere, and carbon.
Utilizes numerical results to support findings related to climate models and projections.
References IPCC AR6 data and predictions for climate change impacts.
K_climate derived from K_QG shows the critical relationships across Earth systems.
Identifies likely 1.5C temperature overshoot by 2027 and predicts record low Antarctic sea ice in 2023.
Proposes financial roadmap for climate analytics with estimated funding needs of ~$1.6M.

Abstract

Tier 1+ Pass-1. 5 paper 11 of 45. ITU-derived climate science on atmosphere + ocean + cryosphere + biosphere + carbon cycle. Defines Kclimate = -log ρclimate as the operator-algebraic modular Hamiltonian on Hₐtmosphere ⊗ Hₒcean ⊗ Hcryosphere ⊗ Hbiosphere ⊗ Hcarbon. Kclimate inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. IPCC AR6 2021-23, 1. 5C overshoot likely, CO2 422 ppm 2024. 5, Antarctic sea ice record low 2023. Topics covered. IPCC AR6 2021-23, COP28 UAE 2023. 12 fossil fuel transition, CO2 422 ppm, Antarctic sea ice 2023 record low, ocean heat uptake. 45-vertex polytope #11 top couplings: #10 Kₑnergy (0. 92), #18 Astrobio (0. 85), #14 Comm (0. 85), #39 Politics (0. 85). Ten falsifiable predictions: Pₐvg=0. 65: arXiv 2026 (0. 90 S), 1. 5C breached 2027 (0. 85 S), Net-zero G20 2070 (0. 45 W). Pass-2 roadmap: ~1. 6M: Climate analytics (500K) + Lean Mathlib (200K) + IPCC+IEA collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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