Molecular Chemistry as a Trajectory-Consumptive CGS on the Diamond Graph: Three Parameters, a Blind Protocol, and the Frontier of Topology

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Authors: davide lugli
Cited by: 2
References: 2

Abstract

Reduction of molecular structure to constrained generative dynamics on a seven-node diamond graph derived from valence classes under Pauli exclusion. Molecules are trajectories; three parameters (residual margin R, cycle compatibility ω, residual recursion rec) classify them. Blind protocol on 30 molecules: 90% isolability accuracy, 100% precision on delocalised systems, ρ(R,reactivity)=0.633. Three errors are systematic and structurally informative. Six chemical categories (aromaticity, anti-aromaticity, ring strain, conductivity, isoelectronicity, isomerism) eliminated as independent concepts. T3/R2 system, fourth verified instance. Answers Open Problem 2 of B2. Fourteenth independent domain.

Fields of Study & Subjects

Graph theory and applications Advanced Physical and Chemical Molecular Interactions Synthesis and Properties of Aromatic Compounds

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 April 2026
Language
EN
Document type
Preprint