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Finslerian Multi‐Dimensionality, Associated Gauge Fields, and Stochastic Space‐Time
Author(s) -
Asanov G. S.,
Ponomarenko S. P.,
Roy S.
Publication year - 1988
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190360903
Subject(s) - curse of dimensionality , general relativity , introduction to gauge theory , gauge (firearms) , gauge theory , manifold (fluid mechanics) , spacetime , mathematical descriptions of the electromagnetic field , tangent , tangent bundle , einstein , fibration , mathematics , space (punctuation) , tangent space , theoretical physics , field (mathematics) , physics , pure mathematics , mathematical physics , computer science , gauge anomaly , quantum mechanics , geometry , history , archaeology , engineering , operating system , homotopy , statistics , mechanical engineering
Abstract The theory is constructed which elucidates all the gauge fields associated with fibration of the tangent vectors and of the vectors of higher degrees of tangency. The approach synthesizes intrinsically the Einstein equations with the Yang‐Mills equations and gives an adequate framework for extending the physical field equations. Then, by considering the statistical behaviour of internal variables, it is possible to get a deeper insight in understanding the origin of quantum laws. Actually, we construct what may be called the general relativity in vector fibrations over space‐time manifold.