Crystal Spheres as the World

Abstract

A geometric concept of the world (W) is considered where the manifold W is identified with a locally trivial fibre bundle pr: W ! U of so–called crystal spheres over a manifold U called the universal time. For every point p 2 U, Mn = pr⵼1 (p) is a n–dimensional crystal sphere and close crystal spheres are called the parallel universes. There exists a geometric black hole on the smooth manifold M n. Tensor fields, fibre bundles, operators (physical structures and equations) can be deformed towards the black hole into continuous and sectionally smooth those, further, they can be retracted together with the black hole into a small black ball to initiate the Big Bang.