IndisputableMonolith.Chemistry.ColloidStabilityFromJCost
This module defines colloid stability criteria in Recognition Science by classifying regimes and issuing certificates from the J-cost functional. Physical chemists modeling aggregation thresholds in RS-native units would cite it for predictions grounded in the Recognition Composition Law. The module consists entirely of definitions for ColloidRegime and ColloidStabilityCert with no embedded proofs.
claimThe module introduces definitions of colloid regimes and stability certificates: $ColloidRegime(J)$ partitions colloidal systems by J-cost value while $ColloidStabilityCert(J)$ asserts stability when the J-cost lies below a derived threshold.
background
Recognition Science obtains all material behavior from the single functional equation whose solutions include the J-cost $J(x) = (x + x^{-1})/2 - 1$. The module imports the fundamental RS time quantum from Constants, where τ₀ = 1 tick, and applies the J-cost to particle interactions in colloidal suspensions. It defines the two central objects ColloidRegime and ColloidStabilityCert to classify stability directly from this cost functional.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the chemistry layer that applies T5 J-uniqueness and the Recognition Composition Law to soft-matter systems, feeding the eight-tick octave and D = 3 spatial structure into material predictions. It prepares the ground for downstream extensions that would link colloid thresholds to the phi-ladder mass formula.
scope and limits
- Does not compute numerical stability thresholds or critical concentrations.
- Does not incorporate hydrodynamic or electrostatic forces outside J-cost.
- Does not address quantum corrections or relativistic effects.
- Does not contain experimental data or simulation code.