Lorentz-Invariant System with Quantum Mechanical Properties

Abstract

In this work, we study potential fluids, within which eddies exist and have quantum mechanical properties because according to Helmholtz, they are made up of an integer number of lines and their displacement in a potential medium is a function of a frequency. However, this system is Lorentz-invariant since Maxwell’s equations can be obtained from it, and this is what we demonstrate here. The considered hypothesis is that the electric charge arises naturally as the intensity of the eddy in the potential fluid, that is, the circulation of the velocity vector of the elements that constitute it, along that potential (it is not another parameter, whose experimental value must be added, as proposed by the standard model of elementary particles). Hence, the electric field appears as the rotational of the velocity field, at each point of the potential medium, and the magnetic field appears as the variation with respect to the velocity field of the potential medium, which is equivalent to the Biot and Savart law. From these considerations, Maxwell’s equations are reached, in particular his second equation which is the non-existence of magnetic monopoles, and the fourth equation which is Ampere’s law, both of which to date are obtained empirically demonstrated theoretically. The electromagnetic field propagation equation also arrives, thus this can be considered a demonstration that a potential medium in which eddies exists constitutes a Lorentz-invariant with quantum mechanical properties.