IndisputableMonolith.Chemistry.SolvationShellsFromConfigDim
This module defines the core types and functions for solvation shells derived from configuration dimension in the Recognition Science framework. Physical chemists working with RS-native molecular models would cite these structures when building solvent-interaction calculations. It is a pure definition module that imports the RS time quantum and lists sibling declarations for shell count, radius, and certification without any proofs.
claimIntroduces the solvation shell type $S$ together with the count function $n(S)$, radius function $r(S)$, ratio $r_{n+1}/r_n$, positivity lemma, and certification predicate $Cert(S)$ expressed in RS-native units.
background
The module imports IndisputableMonolith.Constants, whose sole documented content is the fundamental RS time quantum τ₀ = 1 tick. In the Recognition Science setting this supplies the discrete tick as the base unit for all derived quantities, including chemical length scales. The sibling declarations SolvationShell, solvationShell_count, shellRadius, shellRadius_ratio, shellRadius_pos, SolvationShellCert and solvationShellCert therefore operate inside this tick-based arithmetic.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
Supplies the base definitions for solvation-shell geometry in RS chemistry. These objects are intended to feed downstream applications of the phi-ladder mass formula and the eight-tick octave when modeling molecular systems in three spatial dimensions.
scope and limits
- Does not compute numerical shell radii for any solvent.
- Does not connect shells to specific atomic numbers or elements.
- Does not invoke the Recognition Composition Law or J-function.
- Does not address Berry creation threshold or dream fraction.