Path: ccsf.homeunix.org!ccsf.homeunix.org!news1.wakwak.com!nf1.xephion.ne.jp!onion.ish.org!honnetnews!news.gw.fukushima-u.ac.jp!news.tains.tohoku.ac.jp!newsfeed.media.kyoto-u.ac.jp!Spring.edu.tw!news.nctu.edu.tw!newsfeed.kabelfoon.nl!news.cambrium.nl!news.cambrium.nl!ecngs!feeder.ecngs.de!newsfeed.stueberl.de!newsr1.ipcore.viaginterkom.de!news-peer1!btnet-feed3!newreader.ukcore.bt.net!btnet-feed5!btnet!news.btopenworld.com!not-for-mail From: "Franz Heymann" Newsgroups: sci.physics,sci.physics.electromag,alt.sci.physics.new-theories,fj.sci.matter,sci.physics.relativity Subject: Re: Gradient of potential function of dynamic field Date: Sat, 6 Mar 2004 11:56:16 +0000 (UTC) Organization: BT Openworld Lines: 128 Message-ID: References: Reply-To: "Franz Heymann" NNTP-Posting-Host: dial81-135-74-39.in-addr.btopenworld.com X-Trace: titan.btinternet.com 1078574176 18331 81.135.74.39 (6 Mar 2004 11:56:16 GMT) X-Complaints-To: news-complaints@lists.btinternet.com NNTP-Posting-Date: Sat, 6 Mar 2004 11:56:16 +0000 (UTC) X-Newsreader: Microsoft Outlook Express 6.00.2800.1158 X-MSMail-Priority: Normal X-Priority: 3 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Xref: ccsf.homeunix.org fj.sci.matter:120 "Sergey Karavashkin" wrote in message news:a42650fc.0403051416.435747e1@posting.google.com... > "Franz Heymann" wrote in message news:... > > "Sergey Karavashkin" wrote in message > > news:a42650fc.0403011519.21d7958e@posting.google.com... > > > "Franz Heymann" wrote in message > > news:... > > > > "Sergey Karavashkin" wrote in message > > > > news:a42650fc.0402241512.7788126e@posting.google.com... > > > > > "Dirk Van de moortel" > > wrote > > in message news:... > > > > > > "Sergey Karavashkin" wrote in message > > news:a42650fc.0402161443.85012fb@posting.google.com... > > > > > > > "Dirk Van de moortel" > > > > > > wrote in message > > > > news:... > > > > > > > > "Sergey Karavashkin" wrote in message > > news:a42650fc.0402081450.153f158a@posting.google.com... > > > > > > > > > thoovler@excite.com (Igor) wrote in message > > news:... > > > > > > > > > > selftrans@yandex.ru (Sergey Karavashkin) wrote in message > > news:... > > > > > > > > > > > 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