Analysis of the electric field of a plane lattice of sign-alternating axes

For citation:

Leonov V.S. Analysis of the electric field of a plane lattice of sign-alternating axes. International Conference «Process Management and Scientific Developments» Birmingham, United Kingdom, June 9, 2020, pp. 173-182, DOI:10.34660/INF.2020.54.74.001

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Abstract. The electric field of a plane lattice of sign-alternating axes can be represented by a complex potential. Separating the real and imaginary parts of the complex potential, we find the electric field strength function and its modulus. Analysis of the electric field of a plane lattice of sign-alternating axes shows us that this field is short-range. When moving away from the lattice, its electric field strength decreases very quickly. We see that at a distance equal to the lattice step 1.0a, the field strength decreases by an order of magnitude, and at a distance of two steps 2.0a from lattice its electric field can be neglected in practical calculations. Our analysis shows us that the electric field of the lattice of sign-alternating axes is a very inhomogeneous field and this is a short-range field at a distance of one step of the lattice. Sign-alternating fields are widely used in my fundamental theory of Superunification: sign-alternating superstrings, sign-alternating shells of nucleons and others [1-5].

Keywords: sign-alternating fields, short-range fields and forces, theory of Superunification, sign-alternating superstrings, bifilar winding, quantum engines, Universe.