...their past and future values for any given time are entailed; they can be calculated from the laws of classical mechanics.
This fundamental presupposition is faulty. Classical mechanics got owned when humanity observed that the overwhelming scientific evidence suggests atomic/subatomic particles actually do not conform to Newtonian laws of motion (see Einstein's "Spooky action at a distance.") so afaik scientists are slamming their heads against the wall trying to find a grand unified "Theory of Everything" that models the universe to do many things such as resolving the contradiction between "large" multi-atomic structures behaving in a Newtonian fashion and "small" atomic/subatomic structures having quantum mechanics.
This fundamental presupposition is faulty. Classical mechanics got owned when humanity observed that the overwhelming scientific evidence suggests atomic/subatomic particles actually do not conform to Newtonian laws of motion (see Einstein's "Spooky action at a distance.") so afaik scientists are slamming their heads against the wall trying to find a grand unified "Theory of Everything" that models the universe to do many things such as resolving the contradiction between "large" multi-atomic structures behaving in a Newtonian fashion and "small" atomic/subatomic structures having quantum mechanics.