Finite Bordered Source Has Canonical Divisor up to Completion-Stable Units
For a fixed finite bordered source matrix , every authorized invertible coordinate change and contractible stabilization changes only by a holomorphic nowhere-zero factor. Its divisor is therefore source-invariant.
If normalized comparison units converge locally uniformly under completion, Hurwitz's theorem makes their limit a unit as well. A hostile divisor can enter only through a noninvertible source move, a new noncontractible block, deletion of boundary data, or an explicit completion failure such as a new kernel or reduced-minimum-modulus collapse.
This proves finite canonical-section rigidity and reduces its infinite form to the already isolated completion-stability gate.
Research packet: finite-bordered-source-has-canonical-divisor-up-to-completion-stable-units.md