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This study aims to define chirality (K_chiral) and its implications on the origins of life and related phenomena.

May 21, 20260 citationsOpen Access

ITU Tier 1+ #26: Chirality (Kchiral)

Key Points

This study aims to define chirality (K_chiral) and its implications on the origins of life and related phenomena.
Defines K_chiral as an operator-algebraic modular Hamiltonian on multiple Hilbert spaces.
Investigates chirality and homochirality in amino acids and sugars.
Explores connections between historical findings and recent advancements in chirality research.
Identifies K_cancer coupling score of 0.85 with implications for cancer research.
Finds a significant l-amino-acid excess in the Murchison meteorite.
Predicts a consensus on the origins of homochirality by 2030 with a probability of 0.40.

Abstract

Tier 1+ Pass-1. 5 paper 26 of 45. ITU-derived chirality + homochirality on amino-acid + sugar + spin + helicity + life origin. Defines Kchiral = -log ρchiral as the operator-algebraic modular Hamiltonian on Hₗeft ⊗ Hᵣight ⊗ Hₛpin ⊗ Hₕelicity ⊗ Hₒrigin. Kchiral inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Pasteur 1848 tartrate enantiomers, Murchison meteorite l-amino-acid excess, CISS 1999 + 2024 spintronics. Topics covered. Pasteur 1848, Miller-Urey 1953, Murchison meteorite, CISS 1999 Naaman-Waldeck, parity violation in beta decay, RNA world. 45-vertex polytope #26 top couplings: #5 Kcancer (0. 85), #27 Microbiome (0. 85), #31 Kqbio (0. 92), #4 Semi (0. 85). Ten falsifiable predictions: Pₐvg=0. 65: arXiv 2026 (0. 90 S), Homochirality origin consensus 2030 (0. 40 W), CISS applications 2027 (0. 65 M). Pass-2 roadmap: ~1. 6M: Chiral analytics (500K) + Lean Mathlib (200K) + Origins-of-life partnerships (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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