Cosmological compactification

Mathematics – Logic

Scientific paper

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Origin And Formation Of The Universe, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Assuming that all infinitesimal Killing vectors integrate to form a group of finite isometries, cosmological compactification of a fifth dimension is discussed. It requires a positive cosmological constant, while supporting both the big-bang singularity and the open character of ordinary space. The constancy of the fine-structure constant is correlated with the smallness of the cosmological constant.

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