§7 · the coupling
Heritability couples the ruler and the structure, with a parent-of-origin signature
Heritability couples both channels. At matched γ the contact-competent coordinate inherits better (MEST vs MOS, Δγ = 0.0026); each imprinted locus carries a parent-specific contact state; and the joint (γ, A4) ordering puts deep-γ and contact-competent loci on top — led by NNAT. [V].
γ sets the barrier, but at a matched barrier the structure still matters: the contact-competent member of a Δγ = 0.0026 pair survives at 0.603 against 0.5613. Imprinted contact fractions split paternal 0.50 vs maternal 0.00.
Contact adds heritability at fixed barrier
Take two loci with essentially the same γ (MEST = 1.3645, MOS = 1.3619; Δγ = 0.0026). The contact-competent one inherits better — 0.603 vs 0.5613 — so A4 carries heritability information that γ cannot.
A parent-specific configuration
Mapping the imprinted loci, the paternal set carries a contact fraction of 0.50 against the maternal 0.00 in-panel — each locus holds a parent-specific A4 contact state, which is the structural reading of parent-of-origin inheritance. The absolute penetrance is [O]; the mapping is [V].
The joint ordering
Ranking all 29 loci by the joint (γ, A4) criterion, the top is NNAT — deep-γ and contact-competent together — and the contact-competent status of the leader is what tips it above a slightly deeper but non-contact locus.
| locus | γ | contact | survival |
|---|---|---|---|
| NNAT | 1.4853 | yes | 0.6488 |
| KCNQ1OT1 | 1.5637 | no | 0.6380 |
| REC8 | 1.4525 | yes | 0.6332 |
| ZP3 | 1.4486 | yes | 0.6308 |
| DLK1 | 1.5482 | no | 0.6308 |