Everett's many worlds hypothesis
[#!Everett:57!#] essentially states: whenever our universe's
quantum mechanics based on Schrödinger's equation allows for
alternative ``collapses of the wave function,'' all are made
and the world splits into separate universes. The previous paper
[#!Schmidhuber:97brauer!#] already pointed out that from our algorithmic
point of view there are no real splits -- there are just a bunch of
different algorithms which yield identical results for some time, until
they start computing different outputs corresponding to different possible
observations in different universes. According to
,
S, however, most of these alternative continuations are much less
likely than others.
In particular, the outcomes of experiments involving entangled states,
such as the observations of spins of initially close but soon distant
particles with correlated spins, are currently widely assumed to be random.
Given S, however, whenever there are several possible continuations of our
universe corresponding to different wave function collapses,
and all are compatible with whatever it is we call our
consciousness, we are more likely to end up in one computable
by a short and fast algorithm. A re-examination of split
experiment data might reveil unexpected, nonobvious, nonlocal
algorithmic regularity due to a PRG.
This prediction runs against current mainstream trends in physics,
with the possible exception of hidden variable theory,
e.g., [#!Bell:66!#,#!Bohm:93!#,#!Hooft:99!#].
,
S, however, most of these alternative continuations are much less
likely than others.