On Mon, Sep 02, 2002 at 12:51:09PM +1000, Russell Standish wrote: > This set of all descriptions is the Schmidhuber approach, although he > later muddies the water a bit by postulating that this set is generated > by a machine with resource constraints (we could call this Schmidhuber > II :). This latter postulate has implications for the prior measure > over descriptions, that are potentially measurable, however I'm not > sure how one can separate these effects from the observer selection > efects due to resource constraints of the observer.

I just found a paper which shows that if apparent quantum randomness has low algorithmic complexity (as Schmidhuber II predicts), then FTL communications is possible. http://arxiv.org/abs/quant-ph/9806059 Quantum Mechanics and Algorithmic Randomness Authors: Ulvi Yurtsever Comments: plain LaTeX, 11 pages Report-no: MSTR-9801 A long sequence of tosses of a classical coin produces an apparently random bit string, but classical randomness is an illusion: the algorithmic information content of a classically-generated bit string lies almost entirely in the description of initial conditions. This letter presents a simple argument that, by contrast, a sequence of bits produced by tossing a quantum coin is, almost certainly, genuinely (algorithmically) random. This result can be interpreted as a strengthening of Bell's no-hidden-variables theorem, and relies on causality and quantum entanglement in a manner similar to Bell's original argument.