What does chillingworth inply by no not thine?

When Chillingworth says "No, not thine," he is rejecting the possibility that Dimmesdale's guilt and suffering are a result of external pressures or influences. Chillingworth believes that Dimmesdale's torment is self-inflicted and deeply rooted within himself. This dismisses any explanations that suggest someone else is responsible for Dimmesdale's internal struggles.