In everyday life, the laws of Newtonian mechanics are often seen as reliable and deterministic. However, this web content explores a scenario where these laws are violated through the example of a mass on a dome. The mass, initially at rest at the apex of the dome, spontaneously moves off in an arbitrary direction without any external intervention or probability assigned by the theory. This acausal behavior challenges common expectations of causation and determinism. The unique nature of this scenario is further highlighted by the absence of initiating causes and the time-reversible dynamics involved. While seemingly paradoxical, this example reveals the fascinating intricacies of classical physics.
https://sites.pitt.edu/~jdnorton/Goodies/Dome/