"Franz Heymann" <notfranz.heymann@btopenworld.com> wrote in message news:<c22d24$l9s$3@hercules.btinternet.com>...
> "Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
> news:a42650fc.0403011519.21d7958e@posting.google.com...
> > "Franz Heymann" <notfranz.heymann@btopenworld.com> wrote in message
>  news:<c1ik59$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

Pity you, Franz. You can think whatever, but if you don't see, where
to the gradient of potential in my animation is directed, it is really
useless for you to read all the rest. Spend your time among mushrooms.
;-)

Sergey