> this is an interesting result in philosophy of physics, not in physics.

Yes. Although it has consequences. It's a demonstration that some physical variables have to be quantized or probabilistic to avoid divide by zero errors in reality.

This becomes clear when you do idealized Newtonian physics with impulses. An impulse is an infinite force applied over zero time with finite energy transfer. That's not something that can exist in the physical universe. It's just asking for divide by zero problems. It's also why impulse-constraint physics engines for games have some rather strange semantics.