Gaussian Annihilation and Prime Dilation Form a Flat Connection
For
one has the exact source covariance
Diagonal integer sampling turns Gaussian annihilation into a labelwise Ward identity. It rejects Fourier-self-dual polynomial--Gaussian hostile profiles before inspecting their zeros.
For the physical Gaussian, however, the connection is flat. Summation yields the theta heat relations and Mellin transport yields the gamma recurrence; neither orients the scalar divisor. The missing RH operation must be relative boundary curvature of the completed Mellin--Poisson square, not another local vacuum identity.
Artifact:
- research/grothendieck/gaussian-annihilation-and-prime-dilation-form-a-flat-connection.md