Ledger update and conclusion

. A declared smooth completion and Ward representative turn the regular $r^{-2}$, $r^{-4}$, and circulating-current formulas into a precise extension problem. One generating finite part solves it simultaneously. The raw finite-part defects, their repair, the remaining contact parameters, and the nonremovable dilation residues are explicit. The construction is therefore more than a proposal, but deliberately less than a canonical singular-background quantum theory or a derived source law.