Wait they for naught else than that Allah should come unto them in the shadows of the clouds with the angels? Then the case would be already judged. All cases go back to Allah (for judgment).
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.