The laws of the special relativity theory as a consequence of the spiral structure of particles extended in time

The assumption is made in this paper, firstly, that the threedimensional physical space of our Universe is a hypersphere 𝑅3 expanding isotropically with the speed of light in the fourdimensional Euclidean space 𝑅4. Secondly, it is assumed that each elementary particle with a nonzero rest mass and spin, in reality is a material helical spiral in the four-dimensional space 𝑅4, extended from the region of the «past» to the region of the «future» and intersecting the hypersphere 𝑅3 in some point which position relatively to other bodies of the Universe changes with time as a result of a shift of the hypersurface 𝑅3 along this spiral. Based on classical ideas and several additional simple assumptions physically reasonable values of parameters of this spiral are obtained, relativistic expressions known from the relativity theory for the total energy, mass and frequency of the «internal oscillating process» of a particle are derived, relativistic formula for the kinetic energy of a particle is refined, and the known relativistic relation between total energy of a particle, its rest mass and momentum of translational motion is obtained by new way, a possible physical cause of dependence of the frequency of the «internal motion» of a particle on its speed is determined, the cause for the existence of a limiting speed of motion of material bodies in the space of our Universe is explained, the correct value ℏ 2 of the projection of the particle’s spin on the «selected direction» is obtained, and sense of this direction is clarified, and the fact that relativistic effect of «time dilation» is a consequence of the spin motion of elementary particles is established.