On 10/24/2012 11:25 PM, Richard Ruquist wrote:

Stephan,## Advertising

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 <http://en.wikipedia.org/wiki/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"`

`<http://en.wikipedia.org/wiki/Pure_mathematics>.`

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