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Dynamics of dimensions in factor‐space cosmology
Author(s) -
Bleyer U.,
Rainer M.,
Mohazzab M.
Publication year - 1996
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113170103
Subject(s) - scale factor (cosmology) , dimension (graph theory) , space (punctuation) , physics , manifold (fluid mechanics) , pure mathematics , integer (computer science) , factor (programming language) , mathematical analysis , riemannian manifold , function (biology) , fractal dimension , mathematics , fractal , cosmology , metric expansion of space , quantum mechanics , dark energy , mechanical engineering , linguistics , philosophy , evolutionary biology , engineering , biology , programming language , computer science
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 M 1 with dynamical dimension, and a compact internal space M 2 of constant dimension. With a natural choice of some contraint, there exist a solution where M 1 expands as usual space while M 2 is shrinking down to unobservable scales.