Path: ...!eternal-september.org!feeder3.eternal-september.org!news.gegeweb.eu!gegeweb.org!pasdenom.info!from-devjntp Message-ID: <9oTvw4-YSIPb1dubtdBwcc_MeX8@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Langevin's paradox again References: Newsgroups: sci.physics.relativity JNTP-HashClient: 6N7mTUeEuiLFafIHKpPjP1QzeyM JNTP-ThreadID: sxhQQgyUgiiv6OcO_6O_beeL7bk JNTP-Uri: http://news2.nemoweb.net/?DataID=9oTvw4-YSIPb1dubtdBwcc_MeX8@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Thu, 11 Jul 24 00:02:53 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-07-11T00:02:53Z/8942680"; posting-account="4@news2.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 Bytes: 3029 Lines: 39 Le 10/07/2024 à 20:56, "Paul.B.Andersen" a écrit : > Den 09.07.2024 15:47, skrev Richard Hachel: > Let's look at the following scenario: > > - Twin A and twin B are inertial and co-located. > - Twin B accelerates at the proper acceleration 2 c/year > away from A for 1 light year [ly] in A's rest frame. > - Twin B coasts (no engine) for 8 light years until he is 9 ly from A. > - Twin B accelerates at 2 c/year towards A. He will reach 10 ly and > go back to 9 ly when he stops the engine. > - Twin B coasts from 9 ly to 1 ly- > - Twin B accelerates at 2 c/y until he is co-located with A. > > > Note: > While B is coasting and inertial we have two inertial twins > moving at the constant speed 0.943 c relative to each other, This value is calculated starting from Minkowsky's four-dimensional space-time which is only one of the possible understandings of Lorentz transformations and the relationships between space and time. Mine is directly calculated with the new and direct equation Voi/c=[1+c²/2ax]^-(1/2) And I find Vo=0.8944c and not Vo=0.943c. The values ​​given are always too high among relativists for instantaneous observable speeds. > Yet B ages 9.18 years while A ages 22.63 y. That's not what I find. Tr=11.155 years To=23,544 years. The fact that in my opinion there are two errors comes from the fact that, as I have always said, the instantaneous observable speeds are given too high, this makes an error for To; and the natural times of the accelerated objects are given a little too low, this gives an error for Tr. R.H.