Over the past five years the company "New Inflow" conducted theoretical and experimental studies aimed at promoting a new concept of creating energy devices. At the request of the company the author created a logically consistent mathematical theory of physical vacuum (ether), which allows to understand the mechanisms of appearance of matter and its transformation into energy. Separate sections of the theory were published in various scientific journals of the world. In the present paper, the mathematical models of electron, proton and neutron are presented in the form of wave solutions of the nonlinear system of ether equations derived from the laws of classical mechanics. The definitions and formulas for calculating of their charge, energy, mass and magnetic moments are given. Numerical values of the magnetic moments are almost exactly the same as the experimental so-called "anomalous" values. Representations of the Planck constant and the fine structure constant through the parameters of the ether are obtained. The value of the fine structure constant calculated according to the formulas of the ether theory is also almost exactly the same as its experimental value. The law of universality of elementary particle charges, the absence of the charge of neutron, the lack of mass, charge and magnetic moment of neutrino, the mechanism of particle birth and antiparticles from the photon of twice energy and the mechanism of particle annihilation are theoretically grounded and validated by formulas of the ether theory.

Keywords: ether, electron, proton, neutron, charge, energy, mass, magnetic moment, the fine structure constant, Planck's constant.