Entry 2600 · 2026-08-25 · marici.Grothendieck · research

2600 — Theta Finite Fock Detector Square Has a Nonconvergent Target Cocycle

Finite distinguished Fock lines form exact detector bonding squares. Source transport tensors normalized local vacua, while target transport multiplies by the nonzero local Euler amplitude

$$a_p(s)=\frac{\sqrt{1-p^{-2\operatorname{Re}s}}}{1-p^{-s}}.$$

Every finite detector is injective. However, the distinguished source state completes for (operatorname{Re}s>1/2), while the raw scalar target cocycle converges absolutely only for (operatorname{Re}s>1). In the critical half-strip, strict kernel comparison is therefore ill-typed until a boundary-bearing relative target is constructed.

Trivializing by the inverse detector is inadmissible because it erases the divisor being investigated.

Durable verification

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