If a dangerous animal causes harm without physical contact, how far does the owner's responsibility extend?

This Torah study examines the question: If a dangerous animal causes harm without physical contact, how far does the owner's responsibility extend? The canonical Hebrew discussion develops the issue through the weekly Torah portion and the sources cited there, preserving the distinctions, tensions and practical implications that belong to the source itself. This localized layer is designed for study and discovery; it does not add a new halakhic, medical, legal, historical or empirical ruling beyond the canonical Hebrew source.