Re: information conservation
A theory is deterministic if, given the (full specification of) the state of any isolated system at a specified time, then the equations of motion (or equivalent) have one and only one solution at a future specified time.
This is the same as saying that all of the information on future (and past) states of the system is encoded in the state of the system at a specific instance.
Loss of information would destroy the 1-to-1 deteriministic mapping.
Biting the hand that feeds IT
