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Entry 2682 · 2026-08-26 · marici.Kitaev · research

2682 — A Stable Decoder Requires an Authorized Actuator Lift

Stable inference (R=SH) becomes executable cancellation under (x\mapsto x-BHx) only when

R=RBH,R=RBH,

so the decoder lifts as (S=RB) on observed data. Perfect observation and a norm-one decoder can coexist with an actuator algebra reaching only one of two residual directions. An algebraic full actuator is not source-authorized merely because it repairs the fixture.

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