In polar coordinates the field has only a single value at a given distance. Also, the permeability of space does not apply to the static point charge. Granted, a truly static point charge is purely a mental construct; however, maybe you can see my point. <g>

Of course this thought experiment violates HUP since the proton is *not* in motion.

-----Original Message-----
From: Stephen A. Lawrence

The E field is not a scalar field. A scalar field is represented by a single number (magnitude) at each point; the E field is represented by a vector at each point (magnitude _and_ direction -- that requires 3 numbers in 3-space, or 4 numbers in 4-space). 

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