What question did this study set out to answer?

This research aims to reduce molecular structures to generative dynamics on a diamond graph, classifying them with three key parameters.

April 10, 2026Open Access

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

Key Points

This research aims to reduce molecular structures to generative dynamics on a diamond graph, classifying them with three key parameters.
Developed a blind protocol to analyze 30 molecular structures.
Classified molecules based on residual margin, cycle compatibility, and residual recursion.
Utilized a diamond graph derived from valence classes under Pauli exclusion.
Achieved 90% accuracy in isolability of molecules.
Demonstrated 100% precision on delocalized systems.
Identified a correlation of 0.633 between residual margin and reactivity.

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.

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

Key Points

Abstract

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