After tzitzit strings become worn out, may they be thrown away or must they be placed in genizah?

This source-based Torah study examines the question: After tzitzit strings become worn out, may they be thrown away or must they be placed in genizah? The canonical Hebrew discussion develops the issue through the weekly Torah portion and the sources cited there, preserving the distinctions, tensions, and practical implications of the original text. This localized discovery layer does not add any new halakhic, medical, legal, scientific, historical, theological, or empirical ruling or claim beyond the canonical Hebrew source.