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Originally posted by Mike2
I wonder if there are any theorems between changing curvature of some overall manifold and the equivalence of this to the creation of submanifolds.
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what do you mean by "changing"? remember that in GR, time is part of the manifold, so there is no way to say the curvature changes in time in a consistent way.
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It seems to me that this would be the missing link between the expanding universe of GR and the particles of String Theory.
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the link between string theory and GR is not missing, it is well known: String theory contains GR as a first order approximation.
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Perhaps this is also a type of symmetry breaking process.
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which symmetry did you have in mind to be broken, and what does this have to do with String theory, GR, submanifolds, or changing curvature?