On 10/25/2012 7:58 AM, Richard Ruquist wrote:
Stephan,
Since yesterday it occurred to me that you may be thinking of the 10
or more dimensions of string theory as being orthogonal because they
were so before the big bang. But the dimensions that
curled-up/compactified went out of orthogonality during the big bang
according to Cumrun Vafa. I'll look up that reference if you are
interested.
According to Vafa 2 dimensions compactified for every single space
dimension that inflated. In over simplified terms, 2 dimensions
(actually in strips of some 10,000 Planck lengths) to be compactified
lined up say in the east-west space dimension so that space in an
orthogonal direction could expand. So some semblance of orthogonality
exists in the compactification process, but it is clear that the
compactified dimensions become embedded in 3D space for inflation to
occur.
Again from Vafa but a different reference, the hyper-EM flux that
winds through the 500 topo holes in the resulting compactified
particle (or crystalline element) is what constrains the particle from
re-inflating. The manner in which the flux winds through each Compact
Manifold (CM) particle apparently determines the laws and constants of
physics and is the basis of the so-called string theory landscape
As far as I know the hyper-EM constraining flux are not the strings
that are the basis of physical particles like photons or electrons.
But they may be related. I am admittedly just a (string-theory)
systems analyst and not a string theorist. I take the word of
theorists like Vafa and Yau at face value (whatever that means) for
the properties of the CM particles.
Other than reading the literature, my limited understanding comes from
auditing one of Vafa's courses on string theory at Harvard as an
alumnus.
Richard
Hi Richard,
How does Vafa explain the stability/instability of compactified
dimensions? My chief worry is that all of the stringy and loopy theories
assume a pre-existing continuum of space-time of some sort, the very
Aristotelian "substance" idea that Bruno's argument successfully
attacks. The assumption of primitive substances is very problematic as
it does not allow for any room for consciousness to occur or be causally
effective. I do like the idea of hyper-EM fluxes, but am not so sure
that they are anything more than fancy math, fiber bundles and sheaf
transform groups on n-genus topological manifolds and so on....
Where are all of the sparticles and bosinos that are supposed to
exist if SUSY is correct? Occam's razor keeps me from believing in them...
--
Onward!
Stephen
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