“Information conservation” is the intuitive idea hiding underneath most everyday uses of “determinism” and “causality.” If a system is thermodynamically isolated - if no matter or energy crosses its boundary, in or out - then all of its future states are encoded in its present state. The future state of the system may be a surprise (to a given observer), but it’s informationally coupled to the current state of the system, so that an isolated system, in this sense, “contains” all of the information about all of its future (and past) states.
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