W.D.Clinger
Philosopher
For reference below: Gauss's law is div E = 4πρ. That's the differential form, for a vacuum, in Gaussian cgs units. For other media or units, the only change is to the constant on the right hand side. The integral form of Gauss's law is equivalent to the differential form; either can be derived from the other using the divergence theorem.
(It sounds as though johanfprins is confusing Gauss's law with Gauss's law for magnetism, and never understood either. What he wrote above reminds me of some of the misconceptions Michael Mozina has expressed about Maxwell's equations.)
As can be seen from the above, many of johanfprins's recent mistakes have been mathematical. He apparently does not understand the mathematics used to state Gauss's law. He has heard of divergence and curl and conservative vector fields, but doesn't remember how those things are defined or what they really mean.
I can't improve on sol invictus's summary of johanfprins's argument:
Once again, johanfprins is arguing that all of the standard freshman-level textbooks are wrong.Did I mention Gauss's law when I laid down the challenge? You people first mentioned Gauss's law and then applied it in the wrong manner to claim that you can have field lines emanating radially-symmetrically from a single source without ending anywhere. I know that is also claimed in the standard yext books;
Nope. Even if the universe's net charge is zero (which is definitely not implied by Gauss's law), the balancing charge would not have to be confined to the surface of some sphere.but even so it is still wrong since this can only happen when the single source is surrounded by a sphere having the same charge distributed on its surface.
Nope. That is not at all what Gauss's law says. In fact, Gauss's law says the divergence is nonzero wherever there is nonzero charge ρ.Firstly, if you know anything about science, you will know that a mathematical satement can be wrongly applied to derive physics-nonsense. Furthermore, Gauss's law is the integral statement of the fact that you cannot have a conservative vector field unless the divergence is NOT zero at every point within the field: i.e. there must be sources and sinks for the field lines.That is a MATHEMATICAL statement.
(It sounds as though johanfprins is confusing Gauss's law with Gauss's law for magnetism, and never understood either. What he wrote above reminds me of some of the misconceptions Michael Mozina has expressed about Maxwell's equations.)
Gauss's law says that, when a volume of space encloses a net charge, there must be field lines passing out of and/or going into that volume of space. As Ziggurat has been saying, Gauss's law says absolutely nothing about whether those field lines "end nowhere".Gaus's law has to do with divergence which is given by the difference of feld lines entering a volume and those leaving a volume: To conclude from this that you can have field lines that leave a single source and end nowhere is daft.But Gauss's law plainly doesn't require what you said it required.
Nope. Zero curl does not imply nonzero divergence.I agree when the curl is everywhere zero, you do have a conservative vector field but this also implies that the divergence is not zero everywhere. So what is your point?
As can be seen from the above, many of johanfprins's recent mistakes have been mathematical. He apparently does not understand the mathematics used to state Gauss's law. He has heard of divergence and curl and conservative vector fields, but doesn't remember how those things are defined or what they really mean.
I can't improve on sol invictus's summary of johanfprins's argument:
You claim to be a physicist, but you are ignorant of every area of physics we've discussed (including basic Newtonian kinematics). On top of that, you are extraordinarily arrogant and rude. You are unable to control yourself, and you are unable to understand the obvious implications of a situation where a single individual believes that everyone in an entire field is wrong, repeatedly, on many topics and on extremely basic points.
The implications of that situation are not for the field, Johan - they are for the individual.
!