IndisputableMonolith.Chemistry.StereochemistryClassesFromConfigDim
This module defines stereochemistry classification tools derived from configuration dimensions in the Recognition Science framework. It introduces StereoClass as the core type for handedness categories, along with counting functions and certification structures. The module imports the RS time quantum from Constants to discretize chemical configurations. It serves as a definitions-only foundation with no theorems or proofs.
claimThe module defines the objects $StereoClass : Type$, $stereoClass_count : Nat$, $StereochemistryCert : Type$, and $stereochemistryCert$ as the basic classification and validation structures for molecular configurations measured in RS-native units.
background
Recognition Science derives chemistry from the forcing chain T0-T8, with T8 fixing D=3 spatial dimensions and the phi-ladder supplying discrete rungs for structure. The upstream Constants module supplies the time quantum τ₀ = 1 tick that discretizes all lengths and angles. This module applies those units to stereochemistry by classifying configurations according to an integer dimension parameter.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the classification primitives that higher-level chemistry results in the Recognition framework will invoke for molecular handedness and isomer counting. It directly supports the phi-ladder mass formula and the eight-tick octave by providing discrete categories grounded in τ₀.
scope and limits
- Does not derive reaction rates or energies.
- Does not embed full 3D coordinate geometry.
- Does not treat nuclear or isotopic degrees of freedom.
- Limits classes to integer configuration dimension only.