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David Deutsch - AI, America, Fun, & Bayes
Dwarkesh Podcast
Is There a Limitation to Computers of a Certain Size?
The touring principle states that a universal computer can simulate any physical process. Would this imply that you could simulate the whole of the universe, for example, in a compact, eficent computer that was smaller than the universe itself? Er, again, no, it couldn't. Even if we discovered ways of incoding information extremely densely, like some people have said, maybe quantum gravity would allow an amazing density of information,. It still wouldn't be able to simulate the universe.
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