IndisputableMonolith.Mathematics.StochasticProcessesFromRS
Mathematics.StochasticProcessesFromRS introduces type definitions and certificates for stochastic processes derived from Recognition Science. Researchers extending RS to probabilistic models would cite these objects when building random-process layers atop the core forcing chain. The module consists of type declarations and counting functions with no proof content.
claimThe module defines the objects $StochasticProcessType$ (a classification of processes) and $StochasticProcessesCert$ (a validity certificate) together with the counting function $stochasticProcessTypeCount$.
background
The module sits in the Mathematics domain and imports only Mathlib. It introduces StochasticProcessType as the basic classification of stochastic processes and StochasticProcessesCert as the associated certificate, both intended to sit inside the RS derivation of physics from the single functional equation. The local setting is therefore the translation of the J-cost and phi-ladder structures into a probabilistic language.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the base objects that later theorems on stochastic extensions of the Recognition Science framework would depend on. It fills the definitional slot between the core T0-T8 chain and any probabilistic applications that cite the Recognition Composition Law.
scope and limits
- Does not contain any theorems or proofs.
- Does not exhibit concrete stochastic process examples.
- Does not link the defined types to specific RS constants such as phi or alpha.