pith. machine review for the scientific record. sign in
module module high

IndisputableMonolith.RRF.Core

show as:
view Lean formalization →

The RRF.Core module aggregates foundational definitions for the Reality Recognition Framework by importing display channels for state projections, a glossary for canonical terms, octaves for scaled manifestations, recognition pairings, strain as deviation from balance, and three vantages on phenomena. Model builders in RRF cite it to ensure consistent vocabulary and structures when constructing examples like continuous optimization or trivial cases. It is a definition module containing no proofs or derivations.

claimRRF core defines display channels as projections from states to observation spaces, octaves as manifestation scales related by scaling factor $φ^n$, strain $S$ as deviation from equilibrium with $S→0$, recognition as the pairing of recognizer and recognized, and vantages as the triple (inside, act, outside).

background

The module sets the theoretical setting for RRF by re-exporting and organizing core concepts. A display channel is a way of observing or projecting a state into an observation space. An octave is a scale of manifestation where the same underlying pattern appears at different levels related by scaling $φ^n$ in the full theory. Strain is the fundamental measure of how far from equilibrium a state is, with strain to 0 as the governing law and lower strain corresponding to greater consistency. Recognition supplies the fundamental pairing of recognizer and recognized. Vantage supplies the three perspectives on any phenomenon: inside (subjective), act (dynamic), and outside (objective). The glossary enforces single-source terminology across all RRF modules.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

This module supplies the shared structures that the Quadratic and Trivial models import and extend. The Quadratic model uses it to realize a non-trivial case with state $ℝ^n$ and $J(x)=‖x‖^2$ for testing minimizers. The Trivial model uses it to realize the minimal case with state Unit and $J=0$. It bridges the existing Recognition definitions into the RRF namespace and anchors the framework's vocabulary.

scope and limits

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (6)

Lean names referenced from this declaration's body.