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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <42RUg_TcLuVCEPpCCJpFdI6NTVM@jntp> JNTP-Route: nemoweb.net JNTP-DataType: Article Subject: The mathematical =?UTF-8?Q?Poincar=C3=A9-Lorentz=20transformations?= Newsgroups: sci.physics.relativity,sci.math Followup-To: sci.physics.relativity JNTP-HashClient: FIE9GPE7h0N5muoDOY7ZAjEnruA JNTP-ThreadID: zbewjMnT_26xXQL7subDwn3_3IE JNTP-Uri: https://www.nemoweb.net/?DataID=42RUg_TcLuVCEPpCCJpFdI6NTVM@jntp User-Agent: Nemo/1.0 JNTP-OriginServer: nemoweb.net Date: Mon, 23 Sep 24 12:51:31 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/128.0.0.0 Safari/537.36 Injection-Info: nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-09-23T12:51:31Z/9033275"; posting-account="4@nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <r.hachel@liscati.fr.invalid> Bytes: 2674 Lines: 45 Poincaré-Lorentz transformations transpose the present coordinates of a frame of reference R to the homologous coordinates in a frame of reference R'. These are very simple transformations, both mathematical and physical, which form a group. To obtain the reciprocal of these transformations, it is enough to change the sign of the speed. Be careful, I have already pointed out that relativity is very simple mathematically, but that it is full of small traps. The main trap here is the sign of To and To' which are always negative. The perceived event having always occurred "a certain time in the past in synchronization mode M (Poincaré-Einstein synchronization)". The reader can, if he wants, judge for himself by considering the following example, and speaking of the position of a star in light years and measured years: Vo=0.8c <http://nemoweb.net/jntp?42RUg_TcLuVCEPpCCJpFdI6NTVM@jntp/Data.Media:1> x=12 y=9 z=0 To=-15 (event in M-type synchro) d=15 t=0 (perception) sin a= 0.6 cos a = 0.8 We can check, be kind enough to confirm, this will prove that you master the relativistic mathematical transformations, that: x'= y'= z'= To'= d'= t'= sin a'= cos a'= Anyone who is able to answer all this in less than 10 minutes, has mastered SR correctly. Anyone who does not know how to do it would do better to open a tobacco bar on a national road. R.H.