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But you can specify the information of state of the simulation by specifying 1234567, the differential equations, T, and something to identify the machine that
by drdeca 10y ago
But you can specify the information of state of the simulation by specifying 1234567, the differential equations, T, and something to identify the machine that you mean, and that you want the information it stores. This gives you the same info, and would presumably be shorter than "some string describing all of human history up to T" . It would still describe all the info though.
- MichaelBurge 10y agoThe purpose of 'Some string describing all of human history' is to have something irreducibly dependent on the first machine. It's extremely unlikely that you'd be able to find an alternate way to describe it that didn't involve describing the outer machine in some way. You could mark a time and an algorithm for accumulating information, but you now have 2 more pieces of information in the inner machine than the outer one. So the outer machine has somehow managed to simulate the inner machine even though it has less information. Although... the moment you actually carry out this experiment, it falls apart: Instead of using T, you can just look at time T + U, where U is the amount of time needed to simulate the inner machine. This is because we're sitting here talking about the experiment and eventually carrying it out, so those initial conditions encode the conclusion of the experiment. This is subtle enough I'd have to look at the math. I can't think through it.
- Razengan 10y agoDo we know if it's possible (or impossible) to run a perfectly accurate, 1:1 simulation of our universe inside a computer? If yes, then can we add something to that simulation, like an extra type of particle?