IndisputableMonolith.CrossDomain.MetaTheoremCount
This module counts the cross-domain modules in the wave-63/64 layer. Researchers verifying meta-theorem cardinality across domains in Recognition Science would cite the count and its equalities. The module defines the main count object and supplies lemmas establishing equality to D cubed together with spectrum membership.
claimLet $C$ be the number of cross-domain modules in the wave-63/64 layer. Then $C = D^3$ with $D=3$, $C$ lies in the spectrum, and the covered patterns match the dimension count.
background
Recognition Science obtains D=3 from the forcing chain T0-T8 after J-uniqueness and the self-similar fixed point phi. The wave-63/64 layer sits inside the eight-tick octave and phi-ladder spectrum. The module supplies crossDomainModuleCount as the cardinality for that layer and records the relations count_eq, count_is_D_cubed, count_in_spectrum, patternsCovered and patterns_match_D.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module feeds MetaTheoremCountCert and metaTheoremCountCert by supplying the cross-domain contribution to the total meta-theorem count. It closes the enumeration step for the wave-63/64 layer inside the cross-domain domain.
scope and limits
- Does not count modules in non-cross-domain categories.
- Does not address layers outside wave-63/64.
- Does not derive the forcing chain or value of D.
- Does not compute averages or per-pattern quantities beyond the listed siblings.