As u said, Natarajan ji, no one is criticizing music here 'Without knowing it'. Those who have criticized here, clearly know about the capablities of His Highness Rahmanji. Sounds are being enjoyed by everyone. But we are talking about genres here, (Which a scientist may not necessarily be knowing about) and the progressions in the song.
Anyway, u have related science and music very well sir. As u said music is also science, and we all know, that our Rahman sir, is a musical scientist. Other music directors of his era composed music, whereas, our Rahman sir made inventions in music!
