On Jul 17, 6:02 am, Eric Gisse wrote:

You are wrong. The integral and differential forms contain the exact
same information - there has been a lot written about this, you should
consider doing some light reading.

I am aware of the derivations and they are as I stated. In particular,
getting the differential from the integral form requires assumptions
of
continuity (in the form that 'charge density' and 'current density'
are
integrable functions).

Charge, after all, is quantised, and the derivatives therefore are all
either zero or infinite.

Your entire argument is based on a silly and incorrect claim. This is
pointless.

No, this is correct. What is the 'charge density' at a point? Clearly,
0
unless the point coincides with a charged elementary particle, where
it is infinite. It's as a delta function, which is not differentiable.

Andrew Usher