On 8/22/2012 4:36 AM, Stephen P. King wrote:
Nothing "in the theory" suggests that landscapes are a problem! But that is kinda my
point, we have to use meta-theories of one sort or another to evaluate theories. Occam's
Razor is a nice example... My point is that explanations should be hard to vary and get
the result that one needs to "match the data" or else it is not an explanation at all.
One can get anything they want with a theory that has landscapes. Look!
"The string theory landscape or anthropic landscape refers to the large number of
possible false vacua in string theory. The "landscape" includes so many possible
configurations that some physicists think that the known laws of physics, the standard
model and general relativity with a positive cosmological constant, occur in at least
one of them. The anthropic landscape refers to the collection of those portions of the
landscape that are suitable for supporting human life, an application of the anthropic
principle that selects a subset of the theoretically possible configurations.
In string theory the number of false vacua is commonly quoted as 10500. The large number
of possibilities arises from different choices of Calabi-Yau manifolds and different
values of generalized magnetic fluxes over different homology cycles. If one assumes
that there is no structure in the space of vacua, the problem of finding one with a
sufficiently small cosmological constant is NP complete, being a version of the subset
Boom, there it is! The computation problem!
NP-complete problems, or just N-problems, are ones that consume a lot of computational
resources for large problems. But the required resources are finite and the problems are
solvable. So what's the problem?
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