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Re: Annotated version of SRT

From Thomas Heger <ttt_heg@web.de>
Newsgroups sci.physics.relativity
Subject Re: Annotated version of SRT
Date 2022-04-26 07:22 +0200
Message-ID <jcpdrtFjft6U1@mid.individual.net> (permalink)
References (19 earlier) <02592811-2cf8-4031-b304-e34dbde46fc5n@googlegroups.com> <jckibnFl8auU1@mid.individual.net> <t43vf0$12em$1@gioia.aioe.org> <jcn39iF5kt4U1@mid.individual.net> <t46g2e$1n9v$1@gioia.aioe.org>

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Am 25.04.2022 um 17:51 schrieb Michael Moroney:

>>>>>> For instance del x' in the denominator would not make much sense, if
>>>>>> x'=0.
>>>>>
>>>>> I'm compelled to ask at this point: do you know calculus?
>>>>>
>>>>
>>>> To me it is totally idiotic to put zero into a denominator in a
>>>> differential equation.
>>>
>>> By writing that, it looks like you don't know calculus since "/dx'" or
>>> "del x'" is just PART of a differentiation symbol.
>>
>>
>> Ok, I made actually an error, because del tau referrs to the velocity
>> v, but seen from system k, not from K.
>>
>> If the position of x' is at the zero spot of K, it would not move in
>> K, because it is always at the same (zero-)spot.
>
> Except that it's not, as has been explained to you.


Now you disagree to an obvious consequence of Einstein's text.

Your assumption is wrong, because Einstein had a different setting:

[quote from §3, page 6]

"From the origin of system k let a ray be emitted at the time τ'along 
the X-axis to x' and at the time τ_1 be reflected thence to the origin of 
the coordinates, ..."

[/quote]

The system k was the moving system, hence Einstein wanted a moving 
emitter and a stationary mirror at point x'.

Einstein used this x' in the subsequent equation inside a four-vector.

The four vector was the argument of a function named 'tau', which was 
assumed to be linear and which produced four-vectors as output.

Then he used an astonishing trick.

To see, that his method was rather obscure, I change the equation a bit, 
because we only need one spatial axis, not three.

The independent variable of the function is actually t, while the 
dependent variable is x.

That would be a description of a moving point along the x-axis, where x 
depends on t.

Now we take a function - say- f(t)=x

This is a linear function, because x was defined as x=v*t, with v as a 
constant.

The first derivative of this function is obviously v, while Einstein 
wrote something like del x/ del tau = del t/del tau.



TH

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Thread

Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-21 13:48 -0700
  Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-22 09:00 +0200
    Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-22 01:41 -0700
      Re: Annotated version of SRT Dong Vassilikos <saox@cowrpsho.rb> - 2022-04-24 12:23 +0000
    Re: Annotated version of SRT Python <python@example.invalid> - 2022-04-22 15:39 +0200
      Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-22 07:11 -0700
      Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-23 07:55 +0200
        Re: Annotated version of SRT Michael Moroney <moroney@world.std.spaamtrap.com> - 2022-04-23 03:34 -0400
          Re: Annotated version of SRT Python <python@example.invalid> - 2022-04-23 11:52 +0200
            Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-23 05:49 -0700
            Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-24 08:07 +0200
              Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-24 01:52 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-25 09:52 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-25 12:22 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-26 07:02 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-25 23:52 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-26 22:24 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-26 17:35 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-27 07:59 +0200
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-28 07:14 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-28 01:45 -0700
                Re: Annotated version of SRT Rady Konoe <akde@oakoradn.en> - 2022-04-28 09:03 +0000
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-29 08:08 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-29 20:51 -0700
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-29 21:03 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-30 07:47 +0200
                Imbecile Thomas Heger perseveres "Dono." <eggy20011951@gmail.com> - 2022-04-30 07:00 -0700
                Re: Imbecile Thomas Heger perseveres Richard Hachel <r.hachel@tiscali.fr> - 2022-04-30 14:44 +0000
                Re: Imbecile Thomas Heger perseveres "Dono." <eggy20011951@gmail.com> - 2022-04-30 08:19 -0700
                Re: Imbecile Thomas Heger perseveres Richard Hachel <r.hachel@tiscali.fr> - 2022-04-30 15:28 +0000
                Re: Imbecile Thomas Heger perseveres Odd Bodkin <bodkinodd@gmail.com> - 2022-04-30 15:33 +0000
                Re: Imbecile Thomas Heger perseveres Richard Hachel <r.hachel@tiscali.fr> - 2022-04-30 17:56 +0000
                Re: Imbecile Thomas Heger perseveres Thomas Heger <ttt_heg@web.de> - 2022-04-30 20:15 +0200
                Re: Annotated version of SRT Odd Bodkin <bodkinodd@gmail.com> - 2022-04-28 16:44 +0000
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-28 23:15 -0700
                Re: Annotated version of SRT Python <python@example.invalid> - 2022-04-29 14:30 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-29 06:45 -0700
                Re: Annotated version of SRT Richard Hachel <r.hachel@tiscali.fr> - 2022-04-30 19:50 +0000
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-29 08:22 +0200
                Re: Annotated version of SRT Odd Bodkin <bodkinodd@gmail.com> - 2022-04-29 12:52 +0000
                Re: Annotated version of SRT Odd Bodkin <bodkinodd@gmail.com> - 2022-04-29 13:06 +0000
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-29 06:47 -0700
          Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-24 07:49 +0200
            Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-24 01:23 -0700
              Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-24 11:08 +0200
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-24 05:14 -0700
                Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-24 12:46 -0700
                Re: Annotated version of SRT Dong Vassilikos <saox@cowrpsho.rb> - 2022-04-24 21:09 +0000
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-25 10:23 +0200
                Re: Annotated version of SRT Michael Moroney <moroney@world.std.spaamtrap.com> - 2022-04-24 12:56 -0400
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-25 10:09 +0200
                Re: Annotated version of SRT Michael Moroney <moroney@world.std.spaamtrap.com> - 2022-04-25 11:51 -0400
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-26 07:22 +0200
        Re: Annotated version of SRT Cody Sakellariou <yall@ckcldcdd.ar> - 2022-04-23 07:59 +0000
        Re: Annotated version of SRT Odd Bodkin <bodkinodd@gmail.com> - 2022-04-23 12:56 +0000
  Re: Annotated version of SRT Dong Vassilikos <saox@cowrpsho.rb> - 2022-04-24 21:21 +0000

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