IndisputableMonolith.Physics.CondensedMatterPhasesFromRS
This module certifies that Recognition Science produces exactly ten condensed matter phases by splitting them into five matter phases and five topological phases that sum to 2D. Condensed-matter theorists would cite the result when mapping J-cost symmetries onto phase enumeration. The module imports the Canonical J-Band template and uses its six-clause structure to fix the two category counts whose sum yields the total.
claimMatter phases plus topological phases total $5 + 5 = 10 = 2D$.
background
The module imports the Canonical J-Band template, a reusable six-clause J-cost-on-ratio structure employed across domain certifications. That template establishes the base facts J(1) = 0 and J(x) ≥ 0 for all x > 0. Inside the module the two primary categories are introduced as MatterPhase and TopologicalPhase, each assigned a count of five, so that their sum is the total phase count of ten.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the phase enumeration required for the condensed-matter domain certificate in the Recognition Science chain. Its central claim, stated in the module doc-comment, is that total phases equal 5 + 5 = 10 = 2 × D; this count is the direct input to CondensedMatterPhaseCert.
scope and limits
- Does not name or characterize the individual phases beyond their category counts.
- Does not derive phase stability, transitions, or critical exponents.
- Does not link the count to any specific material or experimental signature.