Can fundamental laws of physics be derived? (Mass from Electricity)

Below is a derivation of Newton’s second law of motion, F=ma, from classical electrodynamics! F=ma is a fundamental physical law (it is the same as conservation of momentum). One should not be able to derive that, should one?

After picking it up (I cannot reveal where, due to the policy of this forum not to discuss new theories) I have checked it in depths without finding what can be wrong.

The assumption is that space is filled with particles qi of equal charge, with the same distance between them giving space the electrical potential V₀ (i.e. there is a charge density in space) and that the energy E of a charge increase Q₂, E= Q₂V₀/2, in space shows up as mass m₂, via the energy mass equivalence E=mc², i.e. Q₂ = 2m₂c²/V₀.

Then, what force will there be on that charge increase if it is accelerated in that space?

The derivation uses a Coulomb-law-like “school equation” for force between electrical charges, but generalized for moving charges that is as general as Maxwell’s equations and said to contain the entire electrodynamic theory. (Below it is shown that it is equal to a similar equation derived in Griffith’s well known electrodynamics book.)

Now accelerate all charge particles qi in space around the still standing charge increase Q₂ (which is the same but the other way around) and see what force we get on it:


It just seems too easy, but I cannot see what is wrong, can you?

Independent of whether this is interpreted as the universe or is just something one wants to calculate, I have never before seen or heard of that a charge increase in a charged environment gets a force that is proportional to its acceleration, i.e. behaves like mass. Has anyone seen that derived or claimed before?

If a charge increase behaves like mass (F=ma), isn’t that mass then? (Note that the result came out independent of the charge density and potential in space – Wouldn’t that fit our universe?)

The school equation is real and equivalent to Griffith’s: