"Derek" wrote in message
...
On Dec 7, 10:50 am, "Dave" wrote:
"AI4QJ" wrote in message



art has now added gravity to gauss in addition to time... what has he got
in
his gut?? whatever it is i'll take a double!


Dave
"It" is called "courage of his convictions" something you cant
buy.

Do you still say you cant add the variant of time to Gauss's law?.


Derek.

Gauss's law is a law of 'electrostatics' as art so frequently states.
STATICS is static, ie NO current which would be implied by adding a time
component to the charge or field predicted by Gauss's law. If you have a
time variable charge you have a current, if you have a current then you
have to include the magnetic fields, and the curl of the electric field, and
hence end up needing all 4 of Maxwell's equations to define the complete
solution. So yes, i say you can not add time variations to Gauss's law as
it stands alone and completely describe the solution to the fields produced.

i.e. simple proof. define any shape surface with no charge enclosed in it.
by Gauss's law the net field through that surface must be zero. you can
have charges sitting just outside of it, lets say a single electron is just
outside of one side of the surface. if you integrate the field from that
one electron it goes in one side of the surface and out the other and all
still adds up to zero net field as require by Gauss's law. now for the hard
part.... move the charge a little bit closer to the surface without going
through it. we must all agree that while you are moving it the electric
field strength through the surface closest to the charge is increasing, so
in order for the total flux through the surface to remain zero the flux
moving out on the other side must also increase. BUT because of the effects
of the other 3 Maxwell equations that limit the speed of propagation of that
field to c it can't happen instantaneously. so for some period of time the
net flux through the surface is not zero as would be require by Gauss alone.
reductio ad absurdum, QED, take your new theory and....