pith. sign in
module module moderate

IndisputableMonolith.Physics.CondensedMatterPhasesFromConfigDim

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The module derives condensed matter phases from configuration dimension in the Recognition Science framework. It defines the CondensedMatterPhase type, a counting function, and certification objects that classify phases using RS constants and the phi structure. Condensed matter theorists and RS modelers would cite these definitions when mapping config space to material states. The module is definitional, importing the RS time quantum and setting up phase enumeration without proofs.

claimThe module defines the type $CondensedMatterPhase$ indexed by configuration dimension, the function $condensedMatterPhase_count$, and the certification $CondensedMatterPhasesCert$ for phases derived from the RS forcing chain.

background

Recognition Science derives physics from one functional equation, with landmarks including J-uniqueness (T5), phi as self-similar fixed point (T6), the eight-tick octave (T7), and D = 3 (T8). The module imports Constants, whose doc-comment states: The fundamental RS time quantum (RS-native). τ₀ = 1 tick. It introduces phase classification tied to the phi-ladder and defectDist conventions from the broader framework.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies phase classification from config dim for downstream RS physics applications. It supports material derivations using RS-native units (c = 1, ħ = phi^{-5}, G = phi^5 / pi) and the alpha band. No used_by relations are recorded, so it functions as foundational scaffolding for condensed-matter claims in the unified forcing chain.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)