Have they not observed all things that Allah hath created, how their shadows incline to the right and to the left, making prostration unto Allah, and they are lowly?
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.