Why is Aaron’s silence, “Vayidom Aharon,” linked to the sun standing still, “Vayidom hashemesh,” in the book of Joshua?

This source-based Torah study examines the question: Why is Aaron’s silence, “Vayidom Aharon,” linked to the sun standing still, “Vayidom hashemesh,” in the book of Joshua? The canonical Hebrew article develops the issue through the weekly Torah portion and the sources cited there. This localized discovery layer preserves the question and the source identity; it does not add any new halakhic, medical, legal, scientific, historical, theological, or empirical ruling or claim beyond the canonical Hebrew source.