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Paper IPM / P / 6520 | ||||||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||||||
For multidimensional cosmological models we investigate the dynamics of both,
scales and dimensions. The classical equation of motions and the corresponding
Wheeler-de Witt equation are set up generally,
and the qualitative behaviour of
the system is discussed for some specific model with 2 factor spaces: A space
M1 with dynamical dimension,
and a compact internal space M2 of constant
dimension. With a natural choice of some contraint, there exist a solution
where M1 expands as usual space while M2 is shrinking down to unobservable scales.
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