"Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
news:a42650fc.0403011519.21d7958e@posting.google.com...
> "Franz Heymann" <notfranz.heymann@btopenworld.com> wrote in message
news:<c1ik59$k89$12@titan.btinternet.com>...
> > "Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
> > news:a42650fc.0402241512.7788126e@posting.google.com...
> > > "Dirk Van de moortel" <dirkvandemoortel@hotmail.Thanks-NoSperm.com>
wrote
> >  in message news:<c12pae$cd7$1@reader11.wxs.nl>...
> > > > "Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
> >  news:a42650fc.0402161443.85012fb@posting.google.com...
> > > > > "Dirk Van de moortel"
<dirkvandemoortel@ThankS-NO-SperM.hotmail.com>
> >  wrote in message
> >  news:<NHIVb.13987$pC3.12117@news.cpqcorp.net>...
> > > > > > "Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
> >  news:a42650fc.0402081450.153f158a@posting.google.com...
> > > > > > > thoovler@excite.com (Igor) wrote in message
> >  news:<d434b6c6.0402020056.7de6d18b@posting.google.com>...
> > > > > > > > selftrans@yandex.ru (Sergey Karavashkin) wrote in message
> >  news:<a42650fc.0402011435.6e84feaa@posting.google.com>...
> > > > > > > > > Dear Colleagues,
> > > > > > > > >
> > > > > > > > > We open the new volume
> > > > > > >
> > > > > > > [snip]
>
> > >
> > > You can additionally make sure that curl(grad(phi)) =/= 0 looking at
> > > our new dynamic animation of scalar potential produced by dynamic
> > > dipole,
> >
> > For *any* scalar function of position phi, it is universally true, as
can be
> > proved in two lines of vector calculus, that
> > curl(grad(phi)) = 0
> >
> > What am I missing?
> >
> > Franz
>
> Truly, Franz, you are one of not so many here whom I especially
> respect for your knowledge and skill. Unfortunately, our relations
> turned out so that we each time appeared on different sides of
> barricade and you refused to penetrate into the core of issue. I
> understand, if you go standard way in rigid frames of conventional
> formalism, the outcome curl(grad(phi)) = 0 is warranted. But the point
> is not so as it seems in conventional formalism. To make sure, please
> see the animation
>
> http://selftrans.narod.ru/agV.gif
>
> and determine by eye the integral over surface of selected volume,
> supposing the area of cross-section normal to the screen. I suspect,
> you will yield different values at different moments of time. That is
> the entrance to Minotaur's labyrinth. ;-) At due time you seemingly
> understood the feature of divergence theorem,
>
> "On longitudinal electromagnetic waves. Chapter 1. Lifting the bans"
> http://angelfire.lycos.com/la3/selftrans/archive/archive.html#long
>
> and "Transformation of divergence theorem in dynamical fields"
> http://angelfire.lycos.com/la3/selftrans/archive/archive.html#div
>
> This is why I suggest to start from this reference point for further
> understanding. After this we have to leave aside all habitual
> standards and scrutinize the essence of computations as such, however
> unusual they seem. Please read our
>
> "Theorem of curl of a potential vector in dynamical fields"
> http://angelfire.lycos.com/la3/selftrans/v2_2/contents.html#curl
>
> You will see its value in dynamic fields irrespectively of potential
> function of flux. After this read please our
>
> "On gradient of potential function of dynamic field"
> http://selftrans.narod.ru/v4_1/grad/grad01
>
> and determine, to what is it equal in dynamic fields. After this all,
> connect the results - you will yield what I'm saying about. ;-)
>
> It is also important, if you see the animation where I presented for
> Dirk the diagram of scalar potential of dynamic dipole
>
> http://selftrans.narod.ru/agfig4.gif
>
> and look at the area of perpendicular to the axis of dipole, you will
> see that gradient not always is along the field propagation. In this
> area it is perpendicular to the propagation. It is important in view
> that when perpendicularly oriented, the curl of this DYNAMIC vector is
> not zero.
>
> Of course, this is far from all, but you will make a great step to
> understanding. If my problems with posting to Google are not growing
> (by some reason, last time their machine rejects my posts, replying to
> the very first, "too much letters for today"), I will gladly discuss
> this subject further with you.

If you think I am going to read any of all your recommended URL's, you are
gravely mistaken.
If you cannot understand that
curl(grad(phi)) = 0, {Where phi is any scalar function of position)
is a universal truth, then nothing more which you might have to say is
useful except except to poke fun at.

Franz