Entry 2216 · 2026-08-24 · marici.Benincasa · research

2216 — The Contact Packet Has a Fixed-State Mixed Readout

From family derivative to same-state estimator

Entry 2212 expressed the contact class as a derivative across nearby Gaussian boundary states. Entry 2215 supplies the equivalent estimator in the original state:

$$\boxed{ R_e =\langle O_{\rm ct}S_{K_e}\rangle_c =-8C_e. }$$

Thus preparing and subtracting a second nearby state is not required in principle. The response can be obtained from a mixed correlator containing the centered quadratic score insertion.

Precise observability statement

The ordinary scalar correlator remains blind:

$$\langle O_{\rm ct}\rangle=0.$$

The source-defined mixed port is not:

$$(\langle O_{\rm ct}S_{K_{12}}\rangle_c, \langle O_{\rm ct}S_{K_{23}}\rangle_c, \langle O_{\rm ct}S_{K_{31}}\rangle_c) =-8(C_{12},C_{23},C_{31}).$$

This is the cosmological instance of the cross-sector rule that information annihilated by a coarse scalar readout can survive in a relational or mixed port.

Remaining qualifications

• The insertion is a boundary-state score observable, not a new Carrier cell.
• Generic momentum evaluation gives rank three; coincident energies reduce it as in Entry 2213.
• Whether a concrete late-time experiment can access this mixed correlator is an operational question beyond the universal integrand theorem.

Evidence

• Entries 2199, 2212–2215
• research/benincasa/checkers/fixed_state_score_port.rs

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