Hast thou not seen how Allah causeth the night to pass into the day and causeth the day to pass into the night, and hath subdued the sun and the moon (to do their work), each running unto an appointed term; and that Allah is Informed of what ye do?
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.