IndisputableMonolith.Physics.CondensedMatterPhasesFromRS
CondensedMatterPhasesFromRS certifies a total of ten condensed matter phases by partitioning into five matter phases plus five topological phases, equaling 2D. Physicists classifying phases via Recognition Science would cite the result for its RS-native count. The module applies the six-clause J-cost template imported from CanonicalJBand to establish the split and the equality.
claimMatter phases and topological phases each contribute five instances, yielding the total phase count $5 + 5 = 10 = 2D$.
background
Recognition Science obtains all physics from the J-cost functional satisfying the Recognition Composition Law. The upstream CanonicalJBand module supplies the reusable six-clause J-cost-on-ratio template used across domain certificates; its first two clauses are matched-zero $J(1) = 0$ and nonnegativity $J(x) \geq 0$ for $x > 0$. The present module introduces the two phase categories MatterPhase and TopologicalPhase, each carrying a count of five, and records the resulting total via the imported template.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the condensed-matter phase count to the master certification chain that opens B-tier whole-science results. It completes the phase-counting step inside the Canonical J-Cost Band template and thereby contributes the 5 + 5 = 10 = 2D relation required by the framework.
scope and limits
- Does not enumerate the explicit representatives of each phase.
- Does not derive transition temperatures or critical exponents.
- Does not connect phases to measurable order parameters.
- Does not prove that the 5 + 5 partition is the only possible classification.