IndisputableMonolith.RecogSpec.Witness.Core
RecogSpec.Witness.Core establishes the foundational definitions for witness structures within the Recognition Science specification. Researchers verifying recognition properties or building higher witness layers would cite this module as the entry point for core witness types. It is a definition module that imports only Mathlib and introduces no proofs or theorems.
claimThe module defines core witness objects $W$ in the recognition specification, supporting verification structures derived from the J-function and forcing chain.
background
Recognition Science derives physics from the functional equation with J-uniqueness $J(x) = (x + x^{-1})/2 - 1$ and the self-similar fixed point phi. This module supplies the local theoretical setting for RecogSpec by introducing witness cores that interface with the eight-tick octave and spatial dimension D=3. It relies on Mathlib for basic type and structure support without upstream theorem dependencies.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies core witness definitions that feed into parent structures in the RecogSpec.Witness hierarchy and the broader Recognition framework. It fills foundational slots for the forcing chain T0-T8 and supports downstream use of phi-ladder mass formulas and RCL composition.
scope and limits
- Does not contain any theorems or proofs.
- Does not depend on other Recognition Science modules beyond Mathlib.
- Does not define concrete witness functions or verification lemmas.