A Theoretical Analysis of the 2026 Nobel Prize in Chemistry: Mirror-Covariant Dynamical Criteria and Data Tests for Chiral Nonlinear Effects and Asymmetric Autocatalytic Amplification
Year: 2026
Type: preprint
Abstract: We present a human-AI theoretical analysis of chiral nonlinear effects and asymmetric autocatalysis, connecting mirror-covariant dynamics to published-data tests. Common rigid rotation preserves the oriented volume of a labelled geometry; common linear flow preserves its sign. Relative rotation changes it at a rate determined by relative angular velocities and geometry. A solvable multi-frequency example yields a phase-dependent mean directed correlation. Exact composition identities connect enantiomeric excess to net fluxes. With scalar composition closure and mirror-symmetric inputs, the growth-rate difference is odd in the excess. Encounter-event fractions equal pair-count fractions exactly when the nonempty classes have equal mean encounter rates. For run 2 of Sato et al. (2003), nominal amplification from 57% to 99% excess and 49-fold total growth satisfies the 43-fold quantity budget when the minor enantiomer has no net loss. On a continuous interval without operation jumps, the specified nonnegative pair-flux family requires at least 58.9217-fold growth; this nominal incompatibility is not robust under percentage-point rounding. A separate pure-power flux family matches the endpoints at an exponent of approximately 2.386, which does not determine aggregate size. Conditional background and heterochiral-generation bounds, joint constraints and precision requirements are derived. Theoretical development and data analysis form one manuscript. Human-AI derivations and computations are disclosed and independently reproducible. Correspondence: [email protected]. Mathematical derivations and computations were performed through human-AI collaboration involving ChatGPT/Codex and Claude; Hailing Sheng takes responsibility for the manuscript.
Author: Sheng, Hailing
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221454772