In this note, we show that the use of the Helmholtz vector decomposition theorem leads to the theoretical rationale of the existence of solenoidal electric and magnetic ¯elds which can spread instantaneously.

We start with the fact that the actual consensus on the empirical verification of the standard retardation condition does not take into account the complex structure of the whole electromagnetic field in the near zone. ...

In this brief note, we adduce the logical rationale that if at least one infinite straight line non-intersecting with the given straight line passes through a given point not lying on a given straight line, then it must be unique.

La falta de agua constituye uno de los principales problemas de la humanidad, por lo que se requiere gestionar el recurso con esquemas de valores de existencia y legado; es decir, con valor de no uso. La eficiencia en ...

We consider the electromagnetic field of a charge moving with a constant acceleration along an axis. We find that this field obtained from the Li´enard–Wiechert potentials does not satisfy Maxwell equations if one considers ...

In this brief note we show that the use of the Helmholtz vector decomposition theorem leads to the theoretical rationale of the possible existence of solenoidal electric and magnetic fields which can spread instantaneously.

In this brief note we do not prove or disprove the existence of the so-called time flow in the conception of time offered by N.A. Kozyrev, here we merely give the mathematical justification of the presumable wave nature ...

In this brief note we mathematically substantiate the presumable wave nature of the so-called time flow in the conception of time offered by N.A. Kozyrev.

We outline a regular way for solving Maxwell’s equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell’s equations ...

In a previous publication [5] we introduced gauge invariant electromagnetic potentials. However the field equations that were derived for them turn out to be the Coulomb gauge field equations. This raises the question ...