On 10/25/2012 12:46 AM, Richard Ruquist wrote:
Please inform ST Yau of your views. He will be interested for sure.
I have informed him of my paper and he found it interesting.
Personally I think your perspective is intellectualism.
Richard
Dear Richard,
Your point is well made. It is quite possible that I am merely
intellectualizing the idea, but as a philosopher I have to press hard on
the idea that there is a possibility that we mistake our ideas of things
for the things. The problems that I have pointed out are unanswered in
the literature that I have found. I may have missed their solution. ;-)
On Thu, Oct 25, 2012 at 12:14 AM, Stephen P. King <stephe...@charter.net> wrote:
On 10/24/2012 11:25 PM, Richard Ruquist wrote:
Stephan,
The compactified dimensions curl-up into particles
that resemble a crystalline structure
with some peculiar properties
compared to ordinary particles,
but nevertheless just particles.
What about that do you not understand?
Richard
Dear Richard,
That picture is not consistent with the mathematics as I understand
them, they do not "curl up into particles". The explanations for laymen
books like to invoke such ideas, but the math tells a different tale. The
compactified dimensions exhibit the properties of particles, yes, but they
are not free floating. The string picture is very much like a cellular
automata on a 3d lattice. This looks like a crystalline structure, yes.
One of the problems of string theory is that there is no explanation as
to what prevents the compactified manifolds from "uncurling" if we relax the
strict orthogonality condition. The Kaluza-Klein theory that inspired string
theory has the same problem. There does not seem to be a way to prevent the
uncertainty principle from being universal such that the "size" of the
compact manifold's radius is not subject to uncertainty. We can try to hand
wave this away with the T-duality, but that just pushes the problem
somewhere else.
I have tried hard to make string theory "work" for me. I appreciate
your enthusiasm for them, but the theory seems too dependent on the
assumption of a fundamental substance (in this case an a priori existing
lattice of manifolds) and on the vicissitudes of scalar fields. I hope you
can appreciate that I simply see string theories as very elegant examples of
"pure math".
--
Onward!
Stephen
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Stephen
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