On Tuesday, May 07, 2024, at 10:01 AM, Matt Mahoney wrote: > We don't know the program that computes the universe because it would require the entire computing power of the universe to test the program by running it, about 10^120 or 2^400 steps. But we do have two useful approximations. If we set the gravitational constant G = 0, then we have quantum mechanics, a complex differential wave equation whose solution is observers that see particles. Or if we set Planck's constant h = 0, then we have general relativity, a tensor field equation whose solution is observers that see space and time. Wolfram and Yudkowsky both estimate this unknown program is only a few hundred bits long, and I agree. It is roughly the complexity of quantum mechanics and relativity taken together, and roughly the minimum size by Occam's Razor of a multiverse where the n'th universe is run for n steps until we observe one that necessarily contains intelligent life.
Sounds like the KC of U, the maximum lossless compression of the universe assuming infinite resources for perfect prediction. But there is a lot of lossylosslessness out there for imperfect prediction or locally perfect lossless, near lossless, etc. That intelligence has a physical computational topology across spacetime where much is redundant though estimable… and temporally changing. I don’t rule out though no matter how improbable that there could be an infinitely powerful compressor within this universe, an InfiniComp. Weird stuff has been shown to be possible. We can conceive of it but there may be issues with our conception since even that is bound by limits. ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/Teaac2c1a9c4f4ce3-M8f6799ef3b2e99f86336b4cb Delivery options: https://agi.topicbox.com/groups/agi/subscription
