🚀 go-pugleaf

"Sergey Karavashkin" <selftrans@yandex.ru> wrote in message
news:a42650fc.0403051416.435747e1@posting.google.com...
> "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.
> ;-)

curl(grad(phi)) = 0, {Where phi is any scalar function of position)
is a universal truth

Franz