[wruza]

If you throw a ball into a bowl, it will also find the (anti-)apex. And the time-reversal of that is the ball arbitrarily choosing a direction to jump off the center of the bowl. So what? Why is it important to mention in case of a non-stable equilibrium?

[scatters]

A ball rolls through the bottom of the bowl and out the other side. It doesn't come to rest.

[cma]

In a time reversal situation where the ball is at maximum magnitude momentum, it will just go the opposite way, right?