>>14393549These are the Maxwell equations.
They use a mathematical framework defined by Gibbs.
Most calculus uses limits for abstract variables, or time dimensions.
Gibbs applied the principle to space.
If you have a function, it's current value, and it's derivative which is simply the next value it must be in sequence, you have all components that create the sum.
In order to say no to this, you need to think of some reason why that function is not continuous, which for electricity is very difficult to do and hasn't been done.
It's easier to work in derivatives, because you have one big arrow instead of a ton of little arrows.
Using this, you can find the properties of empty space as an electrical medium, based on the speed of light, which holds on a cosmic and atomic scale.
Another principle is that electromagnetism is interaction across internal configurations. There's no convective or conductive medium. Things change on the inside. There's a delay. And that shows up as intrinsic properties like temperature, charge and density.
Einstein later used this to develop special relativity which does to absolute time what Newton did to absolute velocity.
