Electrostatic Field and EM Waves
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Introduction
Here we will try to come up with a description of the electrostatic field that will have the same form as the description of the gravitational field.
Electrostatic Forces as a Result of Spacetime Curvature
Such a description seems reasonable since gravitational and electrostatic accelarations have exactly the same form, and this suggests that the latter are also produced by some kind of spacetime curvature. (Here we will avoid the term "force" since the impression of the existence of a force seems to be an artefact. Instead of saying that we have a force that produces an acceleration, it seems to be closer to reality to say that we have an acceleration that produces a force, or the impression of one.)
The difference between the two forms of acceleration (gravitational and electrostatic), besides the units and constants, is the fact that in electrostatic acceleration we may have either attraction or repulsion. Also, the difference in magnitude between the two accelerations.
EM Waves as the Propagation of Fluctuations of "Electrostatic" Spacetime Curvature
When we have such a formulation, hopefully we will have a much clearer picture of what electromagnetic waves are. Most probably they will prove to be fluctuations of the curvature produced in spacetime by the existence of electric charge. So if this proves correct, what "waves" in electromagnetic waves is spacetime itself –-spacetime is the "ether."