"Since we are only capable of experiencing an approximation of the real universe in the first place, wouldn't a simulation only have to be good enough to fool us?"
Not really - you wouldn't build the model like that. It would start with nothingness and fundamental sub-particles spontaneously appearing (according to current "universe from nothing" models - that might change) these would form a shitstorm of particles kickstarting the big bang. If you don't get that start right then you end up with a totally different universe.
Now if our universe is real as opposed to virtual you'll be drifting away from reality from the get/go - the uncertainty principal ensures that, but in a digital universe there are no truly random events - everything is predictable and the uncertainty issue disappears.
Your program would follow the course of the existing universe - to the last dot on the last i - so to speak.
Like I said - theoretically.
Not really - you wouldn't build the model like that. It would start with nothingness and fundamental sub-particles spontaneously appearing (according to current "universe from nothing" models - that might change) these would form a shitstorm of particles kickstarting the big bang. If you don't get that start right then you end up with a totally different universe.
Now if our universe is real as opposed to virtual you'll be drifting away from reality from the get/go - the uncertainty principal ensures that, but in a digital universe there are no truly random events - everything is predictable and the uncertainty issue disappears.
Your program would follow the course of the existing universe - to the last dot on the last i - so to speak.
Like I said - theoretically.
