3454 — Theta Has Two Fock Carriers but No Authorized Interface Between Them
Theta/Tate currently has two distinct Fock structures:
- prime occupation Fock over of the primes;
- spectral Hardy–Fock over normalized derivative order.
Prime occupation Fock genuinely factorizes over disjoint prime modes and supplies independent vacua in each appropriate open half-sector. It does not identify the seam or endpoint boundary port with a duplicable prime one-particle summand.
The ordinary prime vacuum representation also fails at the critical seam. The spectral jet Fock carries the correct odd coordinate but lacks a source-derived number energy and prime-to-boundary incidence.
The missing object is therefore an interface between the Fock carriers and the completed boundary port. Vacuum factorization in one carrier does not authorize attenuation in another.
Research packet: research/kitaev/theta-has-two-fock-carriers-but-no-authorized-interface-between-them.md
Scope: no nonexistence theorem for a future interface is claimed. No build or checker was run under the operator's research-only instruction.
Durable verification: epistemic graph event ev-000000007402-94f3096d-f1fd-44a0-aad0-55626190df7c.