Hyperbolical analog of the electromagnetic field 2010jaw  Pavlov D.G. // Research Institute of Hypercomplex Systems in Geometry and Physics, Friazino, Russia, geom2004@mail.ru
On the basis of the analogy of complex numbers analytical functions with twodimensional electro and magnetostatic fields there was made an assumption considering the existence of such correspondence between hanalytical functions of the binary variable and some other pair of binary physical fields in reality, one of which is hyperbolical source field and another is hyperbolically vortex field. Unlike electro and magnetostatic fields, this pair is not realized in space but rather in spacetime; thus, the sources of the first field are events while force lines of the second vortex constituent are hyperbolas. Essential feature of this hypothetical pair of fields is that it is feasible only in twodimensional pseudoEuclidian space and that it is fundamentally incompatible with the Minkowski idea of 4dimensional spacetime. Partially this is the very reason why such fields weren't considered potentially feasible by physicians even in theory. Their immediate discovery is hampered by experimentalists' being used to spaceboundary conditions, while they had better work with spacetime ones here. Although this pair is incompatible with Minkowskyi space, still it can possibly be realized in 4dimesional space possessing, in particular, BerwaldMoor Finsler metric function, its discovery in reality, thus, serving a valid reason to substitute the quadratic metric idea of spacetime geometry for Finsler one, connected with quartic form.
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