FINSLERIAN APPROACH TO THE ELECTROMAGNETIC INTERACTION IN THE PRESENCE OF ISOTOPIC FIELD-CHARGES AND A KINETIC FIELD
2012jxq | Darvas Gyorgy  // Symmetrion, Budapest, Hungary, darvasg@iif.hu

This paper deals with the application of the isotopic field-charge spin theory to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges (namely Coulomb and Lorentz type electric charges, as well as gravitational and inertial masses). This equation is compared with the classical Dirac equation and there are discussed the consequences [6, 34, 35, 37]. There is shown that since the presence of isotopic field-charges would distort the Lorentz invariance of the equation, there is a transformation, which restores the invariance, in accordance with the conservation of the isotopic field-charge spin [8]. It is based on the determination of the Fмн field tensor adapted to the above conditions. The presence of the kinetic gauge field makes impossible to assume a flat electromagnetic interaction field. The connection field, which determines the curvature, is derived from the covariant derivative of the kinetic (velocity dependent) gauge field. In this case, there appears a velocity dependent metric, what involves a (velocity arrowed) direction-dependent, that means, Finsler geometry [11, 14]. The option of such a «theory of the electrons» (with the words of Dirac) was shown in the extension of his theory in [23]. This paper is an attempt to a further extension.

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