Albion Lawrence (Brandeis) gave the high energy seminar on the meaning
of the 10 dimensions of string theory. It seems that the true dimensionality is debatable, because it depends how you determine the dimensionality of spacetime, empirically. When dimensions are large or infinite it is easy, but small, finite, wrapped dimensions can appear as dimensions of spacetime or as extra particle states or as non-trivial topology in manifolds of lower dimensionality. Insane!
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