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The Dirac equation describes the motion of electrons in electromagneticfield, but it considers spin as intrinsic property without any real motion. Wepostulate spin as the intrinsic feature of vacuum, in which the incidentelectromagnetic radiation can create vortices with well defined spinningfrequency and completely undefined axis of rotation. The vortices have finitesurface determined by the spinning frequency that makes the peripheral speedequal to the velocity of light. According to the Lorentz equations of specialrelativity, the product of radius and mass of rotating objects is independentof the frequency of rotation and it is equal to 3/4h/2pic for all fermions.This invariance explains how the light with infinite spatial dimension and zeromass can produce finite mass and size for the particles in the pair-creationprocesses. The vortex model interprets the rest energy as the kinetic energy ofspinning motion. The isotropic character of spinning can be represented byhelical motion with right or left-handed chirality corresponding to the dualityof matter and anti-matter. Conservation rule is proposed for the chiralityexplaining the electron-positron annihilation and the pair-creation processes.The vortex induced field rotation around the particle can reproduce thegravitational formula if the curvature of field is derived from the Lorentzcontraction on the surface of rotating sphere. Generalized Hamiltonian issuggested for the fermions describing the spinning motion in the internal frameof particles, it reproduces the Dirac equation, when the rest energy ispredominant.