Which creates some disturbing ideas about our reality.
Which creates some disturbing ideas about our reality.
I'd implore everyone to spend a few rainy weekends trudging through Mandelbrot's 'The Fractal Geometry of Nature'[1] and Wolfram's 'A New Kind of Science'[2]. Both are rather terse, but I found both added a whole new depth of analogy in the way I see the Universe(s).
It's easy to be dismissive of Stephen Wolfram for his general asshat'ery and Benoit isn't around to champion his notions in the broader sense. But if we are to take reductivism to it's extreme, it's worth exploring emergent patterns with a bit more wonderment.
[1] http://books.google.com/books/about/The_Fractal_Geometry_of_...
Yes. The universe only has so much computing power, and any universe we simulate will have less.
Here's a relevant paper by Lloyd titled "Ultimate physical limits to computation": http://arxiv.org/abs/quant-ph/9908043v3
Another disturbing thought: if our universe were spun up or down like we do virtual machines, would we even notice?
I would guess not. See Permutation City by Greg Egan for lots of speculation about questions like that.