If you don’t already know what their crop harvest in 32BC was like, you can practically guarantee that it won’t be the same in the simulation. This is exactly the kind of use that, as I pointed out earlier, if you had enough information to actually pull it off, you wouldn’t need to.
I’ll just reiterate my response then:
Any information about a physical system at time T reveals information about that system at all other times—places constraints on it’s configuraiton. Physics is a set of functions that describe the exact relations between system states across time steps, ie the temporal evolution of the system.
We developed physics in order to simulate physical systems and predict and understand their behavior.
This seems then to be a matter of details—how much simulation is required to produce how much knowledge from how much initial information about the system.
For example, with infinite computing power I could iterate through all simulations of earth’s history that are consistent with current observational knowledge.
This algorithm computes the probabilities of every fact about the system—the probability of a good crop harvest in 32BC in Egypt is just the fraction of the simulated multiverse for which this property is true.
This algorithm is in fact equivalent to the search procedure in the AIXI universal intelligence algorithm.
I’ll just reiterate my response then:
Any information about a physical system at time T reveals information about that system at all other times—places constraints on it’s configuraiton. Physics is a set of functions that describe the exact relations between system states across time steps, ie the temporal evolution of the system.
We developed physics in order to simulate physical systems and predict and understand their behavior.
This seems then to be a matter of details—how much simulation is required to produce how much knowledge from how much initial information about the system.
For example, with infinite computing power I could iterate through all simulations of earth’s history that are consistent with current observational knowledge.
This algorithm computes the probabilities of every fact about the system—the probability of a good crop harvest in 32BC in Egypt is just the fraction of the simulated multiverse for which this property is true.
This algorithm is in fact equivalent to the search procedure in the AIXI universal intelligence algorithm.