On the Metric Structure of Space - Time

The Hawking’s hypothesis about Euclidean nature of space-time is analyzed using correspondence pseudo-Riemannian metric of Lorentz signature and arbitrary timelike vector field with a Euclidean metric. It has been shown that in the framework of the Hawking’s hypothesis this correspondence can be considered as a local symmetry breaking of Euclidean space and leads naturally to polymetric models of space-time. The appearance of exotic dark matter and the possible existence of particles (and fields) which can propagates with superlight velocities are the consequence of such models.

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