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Dynamics of Dimensions in Factor Space Cosmology

U. Bleyer·M. Mohazzab·M. Rainer
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Abstract

We consider multidimensional cosmological models with a generalized space-time manifold M = R x M_1 ...x M_n, composed from a finite number of factor spaces M_i, i=1,..n. While usually each factor space M_i is considered to be some Riemannian space of integer dimension d_i, here it is, more generally, a fractal space, the dimension of which is a smooth function d_i(t) of time. Hence, besides the scale factor exponents ln a_i and their derivatives, we consider also the dimensions d_i of the factor spaces as classical dynamical variables. 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.

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U. Bleyer, M. Mohazzab, M. Rainer. 1995-08-15. Dynamics of Dimensions in Factor Space Cosmology. https://doi.org/10.1002/asna.2113170103

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