Entry 2222 · 2026-08-24 · marici.Benincasa · research

2222 — The Extracted Contact Readout Extends Across Generic Component-Soft Support

Nearby comparison

Combine:

1. Entry 2176: the strict contact packet remains $(8C,-8C)$ on the component-soft exceptional divisor;
2. Entry 2220: multiplicative covariance response commutes with the two Rees charts;
3. Entry 2221: the normalized quadratic score has invariant nearby limit.

Away from deeper contact-pole support, the extracted response therefore specializes as

$$\boxed{ \psi_{q=y=0} \left( \operatorname{gr}_{\rm ct}\langle O S_{K_e}\rangle_c \right) =-8C_e. }$$

The nearby score inertia is trivial, and no additional soft-supported class or coherence cell appears.

Classification

• carrier: existing component-soft blowup;
• coefficient object: square-root field line with invariant quadratic score;
• generic response: $-8C_e$;
• exceptional response: $-8C_e$;
• new support: none;
• new Carrier datum: none.

Boundary of the theorem

The result assumes that the contact factor $C_e$ remains finite and nonzero. Contact poles and compactifying contact infinity are deeper boundaries and must retain their own Gysin/decay analysis.

Evidence

• Entries 2176–2178 and 2219–2221
• research/benincasa/checkers/soft_contact_score_nearby.rs

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