Dynamics of dimensions in factor‐space cosmology
For multi-dimensional 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.