My prefix has won the fights
My infix marks the start of flights
My suffix you can almost solve
My whole makes friendly rubber revolve
What am I?
Hint 1:
Reverse my infix and you have a music instrument
Hint 2:
You could say my prefix was chosen
Hint 32:
The opposite of my prefix once continued fighting for too long
Hint 43:
My suffix is almost beyond understanding
Hint 4:
My wikipedia-article says: "[The solution] is the ░░░░░░░░░░░░░░░░ concerned with the relationship between ░░░░░░░░░░░░░░░░░ difference"