Em field, after especial relativity, asserted as a tensor of rank 2 which obeys the Maxwell equations and Lorentz transformation in different reference frames, therefore the magnetic part of this field appears in reference frames where the electrical charges are in a motion . it is easy to conclude that in a static reference frame relative to an electric charge (i.e. rest frame of charge), there is no magnetic field. However the reverse is not always true .
Thanks....but i don't know, why this is so strange? that the magnetic field is always associated with electric field as they are coupled together but electric field can exit alone for stationary charge.we can understand easily the science behind this concept but philosophically, it seems awkward.
Logically (and not philosophically) you may consider the electric field as cause and magnetic field as effect, then by logical reasoning cause may be exist alone but effect could not be considered to be existed without cause.
The main point here is outlined clearly in the quantum field theories, i.e. there exist an electric "charge" as an invariant of gauge field that can be deduced exactly in Yang-Mills and other techniques, but there is not a well defined "charge" attributed to magnetic field. on the other hand electric charge can be calculated as an invariant through the gauge symmetry and Noether's theorem that governs the equations in an quantum electrodynamic theory, the similar story has not been retrieved in the case of magnetic fields, However as i mentioned before, these fields represented as a common tensor.
Does not make sense to separate something which is one thing from the start. Not only the waves but also the field doesn't make sense to separate, it is part of the relativistic electrodynamics, according to which changing the observer, one field transform itself into the other.
@Stefano Quattrini..... I couldn't understand from the start means? we don't know exactly anything about beginning of light or about its history. Every thing that we know about beginning is hypothetical except some symmetries and conservation law, which are valid every where.