If Alice uses point doubling over a generator point P to create two new points and then hands them over to Bob, can Bob tell which of the two points is the greater point without having to bruteforce all possible integer multiples of P?
Assume Bob knows the elliptic curve used to generate the points as well as the generator point P from which the two other points are derived.
Example: Alice creates the points 32P and 64P and hands them over to Bob without showing the scalars used. Can Bob somehow determine the second point (64P) is greater than the first point (32P).
A solution would be to divide the first point by the second point to find out if the value is above or below 1, but as far as I know division only works with scalars; not points.