Deutsch   English   Français   Italiano  
<lYswGe5sL5FTXNDCC00GhCLG580@jntp>

View for Bookmarking (what is this?)
Look up another Usenet article

Path: ...!3.eu.feeder.erje.net!feeder.erje.net!fdn.fr!usenet-fr.net!pasdenom.info!from-devjntp
Message-ID: <lYswGe5sL5FTXNDCC00GhCLG580@jntp>
JNTP-Route: news2.nemoweb.net
JNTP-DataType: Article
Subject: [SR] Demonstration of simplification
Newsgroups: sci.physics.relativity
JNTP-HashClient: XTydNDFQnSG8wCw6Vp4xZB556gU
JNTP-ThreadID: p15djwwBrsq7B7GbUVvPR4bKGOU
JNTP-Uri: http://news2.nemoweb.net/?DataID=lYswGe5sL5FTXNDCC00GhCLG580@jntp
User-Agent: Nemo/0.999a
JNTP-OriginServer: news2.nemoweb.net
Date: Sun, 31 Mar 24 22:45:54 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/123.0.0.0 Safari/537.36
Injection-Info: news2.nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-03-31T22:45:54Z/8801048"; 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 <r.hachel@tiscali.fr>
Bytes: 2052
Lines: 27

Demonstration of the possible reduction from an accelerated frame of 
reference to a Galilean frame of reference over a very short duration or 
interval.
 
We pose:
ΔTo²=ΔTr²+ΔEt²
ΔTo²=ΔTr²+Δx²/c²
ΔTo²=ΔTr²+(1/4)(a²/c²)(Tr2²-Tr1²)²
ΔTo²=ΔTr²+(1/4)(a²/c²)[(Tr2+Tr1)(Tr2-Tr1)]²
ΔTo²=ΔTr²+(1/4)(a²/c²)(Tr2+Tr1)².ΔTr²
ΔTo²=ΔTr²[1+(1/4)(a²/c²)(Tr2+Tr1)²]
ΔTo²=ΔTr²[1+(1/4)(a²/c²)(2Trm)²]
ΔTo²=ΔTr²[1+(a²/c²)(Trm)²]
ΔTo²=ΔTr²(1+Vri²/c²)
 
Let ΔTo=ΔTr.sqrt(1+Vr²/c²)
 
and Voi=Vri/sqrt(1+Vri²/c²)
 
As in the Galilean frames of reference.
 
Note that the instantaneous speed given for frames accelerated by 
physicists is not correct, and that the correct formula is simply 
Voi/c=(1+c²/2ax)^(-1/2)
 
It's a lot less than what they say.
 
R.H.