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If the universe simulator can solve iterative problems in O(1), then I question whether our concept of optimization is meaningful enough to it for this discussi
by comicjk 9y ago
If the universe simulator can solve iterative problems in O(1), then I question whether our concept of optimization is meaningful enough to it for this discussion to make sense.
- bicubic 9y agoThis is a very interesting question. What if the universe is stateless and any state at time T can be calculated in O(1) What if we just lack the expressiveness or the initial conditions to model a stateless universe? A fun consequence of stateless universe would be that you can rewind, fast forward, loop, speed up, slow down time at no extra cost.
- comicjk 9y agoThere are some physical systems (mathematically, "Hamiltonians") which have this "stateless" property. However, if the time/energy uncertainty principle is true, simulating time T in O(1) cannot be possible in general unless BQP=PSPACE (the unlikely idea that quantum computers can efficiently solve any problem that can be stored in polynomial amounts of memory). See this paper: https://arxiv.org/abs/1610.09619 https://arxiv.org/abs/1610.09619