Abstract
The possibility of building a theory of topological transitions within the framework of multidimensional gravitation theories is discussed. It is shown that consideration of a four-dimensional space-time as a submanifold in the space of a large number of measurements provides a real possibility of constructing a theory of the large-scale structure of a four-dimensional physical space-time and, in particular, a theory of topological transitions. The fundamental principles underlying the construction of the theory are expounded.
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VNIIMS (Scientific-Research Institute of the Metrological Service). Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 9–14, February, 1997.
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Konstantinov, M.Y. Topological transitions and large-scale structure of space-time in multi-dimensional theory of gravity. Russ Phys J 40, 124–128 (1997). https://doi.org/10.1007/BF02806177
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DOI: https://doi.org/10.1007/BF02806177