What question did this study set out to answer?

This research aims to unify various cosmological models through operator-algebraic methodologies, particularly involving LambdaCDM, dark energy, and other astronomical phenomena.

May 21, 2026Open Access

ITU Tier 1+ #12: Cosmology (Kcosmo)

Key Points

This research aims to unify various cosmological models through operator-algebraic methodologies, particularly involving LambdaCDM, dark energy, and other astronomical phenomena.
Defines K_cosmo as the operator-algebraic modular Hamiltonian on specified Hilbert spaces.
Utilizes numerical results from Planck 2018, DESI 2024, and JWST observations to analyze cosmological parameters.
Explores topics like the Hubble tension and inflation through a detailed operator-algebraic framework.
Numerical analysis indicates a hint of time-variation in dark energy from DESI 2024 data, with implications for Hubble's tension.
Ten falsifiable predictions were made, including a projected 50% confirmation rate for resolving Hubble tension by 2027.
Top couplings among the researched concepts scored as high as 0.92, indicating strong interrelations within the cosmological framework.

Abstract

Tier 1+ Pass-1. 5 paper 12 of 45. Operator-algebraic cosmology unifying LambdaCDM + DE + DM + CMB + inflation. Defines Kcosmo = -log ρcosmo as the operator-algebraic modular Hamiltonian on HFRW ⊗ Hₚerturbation ⊗ Hdarkₑnergy ⊗ Hdarkₘatter ⊗ HCMB. Kcosmo inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Planck 2018 CMB, DESI 2024 BAO dark energy time-varying, JWST 2022 high-z galaxies, Hubble tension 73 vs 67 km/s/Mpc. Topics covered. Planck 2018, DESI 2024. 4. 4 dark-energy time variation hint, JWST high-z 'impossible' galaxies, Hubble tension, inflation Guth 1981. 45-vertex polytope #12 top couplings: #17 KQG (0. 92), #24 Math (0. 92), #18 KBH (0. 92), #21 Stat (0. 85). Ten falsifiable predictions: Pₐvg=0. 65: arXiv 2026 (0. 90 S), Hubble tension resolved 2027 (0. 50 M), Dark energy time-varying confirmed 2028 (0. 60 M). Pass-2 roadmap: ~1. 6M: Cosmo analytics (500K) + Lean Mathlib (200K) + Observational collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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