The argument for time reversal assumes that the ball can reach the top of the dome in a finite time, while its speed becomes zero at that limit. Sure, you can c

The argument for time reversal assumes that the ball can reach the top of the dome in a finite time, while its speed becomes zero at that limit. Sure, you can calculate the kinetic energy needed to exactly reach the top like described, but would such a ball reach the top in a finite time, as it slows down in the process? Edit: To answer my own question, the shape of the dome has been specifically chosen to avoid this problem, as described here: https://www.reddit.com/r/Physics/comments/2cueh3/nortons_dome_a_simple_violation_of_determinism_in/cjjmbfk?utm_medium=android_app&utm_source=share&context=3 https://www.reddit.com/r/Physics/comments/2cueh3/nortons_dom...