Hypothesis about the formation of particles from fields The hypothesis is an extension of field theory and an attempt to explain the internal structure of elementary particles. Basic equations Presumably, in three-dimensional space there is a field formed by vectors of electric intensity E = (Ex,Ey,Ez), magnetic intensity H = (Hx, Hy, Hz), and velocity V = (Vx, Vy, Vz). Also later in this article, the vectors of electrical induction in vacuum D = ε0·E and magnetic induction in vacuum B = μ0·H can be used. E and H are "energy carriers" local density of energy is expressed as follows: u = ε0/2 ·E2 + μ0/2 ·H2 where E2 = Ex2 + Ey2 + Ez2 and H2 = Hx2 + Hy2 + Hz2 Law of energy conservation: time derivative u′ = - div W where W = (Wx, Wy, Wz) is the energy flux vector. In this case, W = [E×H] + ε0·(E·V) ·E The scalar product EV = E·V = Ex·Vx + Ey·Vy + Ez·Vz expresses the cosine of the angle between E and V. In more detail, Wx = Ey · Hz - Ez · Hy + ε0·EV · Ex Wy = Ez · Hx - Ex · Hz + ε0·EV · Ey Wz = Ex · Hy - Ey · Hx + ε0·EV · Ez Respectively, div W = H · rot E - E · rot H + ε0·E · grad EV + ε0·EV · div E Derivatives of the magnetic and electric field by time: H′ = - 1/μ0 · rot E E′ = 1/ε0 · rot H - grad EV - V · div E In this case, div E is proportional to the local charge density q with a constant positive multiplier: q ~ div E, in the SI measurement system q = ε0 · div E. Having performed the necessary transformations, we get: u′ = ε0/2 ·(2 ·Ex · Ex′ + 2 ·Ey · Ey′ + 2 ·Ez · Ez′) + μ0/2 ·(2 ·Hx · Hx′ + 2 ·Hy · Hy′ + 2 ·Hz · Hz′) = Ex · (∂Hz/∂y - ∂Hy/∂z - ε0 · ∂EV/∂x - ε0 · Vx · div E) + Ey · (∂Hx/∂z - ∂Hz/∂x - ε0 · ∂EV/∂y - ε0 · Vy · div E) + Ez · (∂Hy/∂x - ∂Hx/∂y - ε0 · ∂EV/∂z - ε0 · Vz · div E) - Hx · (∂Ez/∂y - ∂Ey/∂z) - Hy · (∂Ex/∂z - ∂Ez/∂x) - Hz · (∂Ey/∂x - ∂Ex/∂y) = E · rot H - H · rot E - ε0 · E · grad EV - ε0 · EV · div E = - div W A term in the form of "grad EV" for E′ arises from the need to make an adequate expression of the energy conservation law, and although in the "natural" structures discussed below E is everywhere perpendicular to V, that is, EV = 0, it can play a role in maintaining the stability of field formations.