In Classical Mechanics, one of the possible foundations is based on three concepts aka mass(equivalent to energy), length and time. This is a foundation because we can model everything ( pressure, position, volume, acceleration, velocity, temperature ) from those, even if the description of more complex things ( like temperature ) in terms of the foundations might be a bit complicated and further abstractions/definitions would prove to be useful.
So, it seems like the other big part of classical physics is Classical Electromagnetism and i was looking for a possible foundations there that is able to model everything in Electromagnetic Theory ( from electrostatic, to electrodynamics, to maxwellian equations to electromagnetic waves, to optics ),
Could a canditate 3-uple for a simple foundations of Classical Electromagnetism be charges ( or difference in charge ), length and time. This would be just substituting mass ( equivalent to energy ) for differences in charge ( which is equivalent to energy ).
Is this a good enough simple foundations for Electromagnetic Theory ?
If not, can anyone suggest me one ( preferably a simple one in terms of math ) ?
Thanks a lot in advance