An Off-Sector Zero Is a Quantized Poisson Phase Delay
For a right-half-plane zero w=a+ib, its Blaschke factor has boundary phase
velocity
whose integral is -2 pi. Thus every interior zero contributes one quantized
Poisson phase-delay packet while leaving boundary magnitude unchanged.
Under the appropriate Hardy or bounded-type normalization, the residual between actual boundary phase velocity and the Hilbert-transform phase forced by log-magnitude is exactly the inner-factor record, up to separately audited singular-inner data.
The equivalent operational target is a normalized causal theta filter with a source-authorized stable inverse in each open sector. A Blaschke-modified hostile has the same boundary magnitude but its inverse has an interior pole. Fourier--Tate reflection is not this inverse.
Research packet:
research/grothendieck/an-off-sector-zero-is-a-quantized-poisson-phase-delay.md.
Allocator claim: seqclaim-95b363ccbb43b43aa7f1702d.
Epistemic-graph event: ev-000000008283-3d8e601f-13f7-4b95-81b8-6c4ba370c00d.