I should quickly clarify, the use of m^2 vs m^3 is because amperage is a time dependent function of the volume charge. this gets complex but it's quantum physics at play, the charge volume is bound within an arbitrary space. the current density is a surface plane within that space for a given point in time. So if we move the current to a volume density then the charge needs to move up to a hyper-dimensional plane. Now look what happens, hyperdimensional charge is time invariant and can exhibit 'quantum tunneling' FTL etc...
given that we can not access or measure beyond our 4D universe, much like a 2D plane has no ability to conceptualize a 3D object moving thru it, units and measurements are based on what measure and how accurate we get. the gap between classical and quantum is HUGE, I'll say that you've stumbled into the disconnects on the way down the rabbit hole.
want some real fun... dig deep into displacement current theory
given that we can not access or measure beyond our 4D universe, much like a 2D plane has no ability to conceptualize a 3D object moving thru it, units and measurements are based on what measure and how accurate we get. the gap between classical and quantum is HUGE, I'll say that you've stumbled into the disconnects on the way down the rabbit hole.
want some real fun... dig deep into displacement current theory
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