After a decade of procrastination, I've finally finished writing up a
sequel to that paper that I wrote back in 1996 (Is "the theory of
everything'' merely the ultimate ensemble theory?) that's been the
subject of so much interesting discussion in this group.
It's entitled "The Mathematical Universe", and you'll find it at
http://arxiv.org/pdf/0704.0646 and http://space.mit.edu/home/tegmark/toe.html
- I'd very much appreciate any comments that you may have.
The purpose of this paper is both to clarify what I mean by the Level
IV Multiverse and to further explore various implications, so it has
lots of discussion of stuff like the simulation argument, the relation
to Schmidhuber's ideas, Gödel incompleteness and Church-Turing
incomputability. Please let me apologize in advance for the fact that
Sections III, IV and the appendix of this paper are quite technical,
so if you're among the 99.99% who don't have a Ph.D. in theoretical
physics, perhaps skip those sections. I've added links to more
accessible papers touching on some of these issues at
http://space.mit.edu/home/tegmark/toe.html, and I'll try to write
something less obtuse soon.
Finally, if you discover a good time stretching device, please let me
know! Although I'm embarrassed that I haven't found the time to follow
and participate in the fascinating discussions in this group, the fact
that there's such interest has inspired and motivated me to continue
pursuing these ideas despite the discouragement from mainstream
academia. So thanks for the encouragement!
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