2853 — Local Fock Confinement Is Broken Only by the Gaussian Boundary Coupling
On a (p)-valuation chain, the occupation shift and quadratic scale satisfy
The canonical half-density Fock polynomial is geometric, so all its finite zeros lie on (operatorname{Re}s=1/2), and its infinite right-sector limit is zero-free. Gaussian sampling changes the weights to
and the first two-level zero moves strictly off the seam. Thus the local Fock chain and Gaussian vacuum are individually well behaved; finite confinement is first lost in their rigid mixed coupling. The next gate is the compatibility of the full commuting prime family with (Q) and reciprocal completion.
Graph admission: ev-000000004466-ce519026-cbd4-4d7e-9abe-257248b9358c.