Say (unto them, O Muhammad): Then bring a scripture from the presence of Allah that giveth clearer guidance than these two (that) I may follow it, if ye are truthful.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.