Groups > sci.physics.relativity > #583698

Re: Annotated version of SRT

From	Thomas Heger <ttt_heg@web.de>
Newsgroups	sci.physics.relativity
Subject	Re: Annotated version of SRT
Date	2022-04-22 09:00 +0200
Message-ID	<jcf242Fjgq4U1@mid.individual.net> (permalink)
References	(20 earlier) <dbe407a6-9d6b-4799-a1b8-27000eacedabn@googlegroups.com> <jc76moF3oggU1@mid.individual.net> <c54cf8a6-fc9b-4f00-8e9e-94be68ee3ef9n@googlegroups.com> <jccdb7F3tf6U1@mid.individual.net> <90eae6e0-539d-4edd-913e-a2772b9b5ca6n@googlegroups.com>

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Am 21.04.2022 um 22:48 schrieb JanPB:
...

>>>> Especially mathematical errors are deadly
>>>> in theoretical physics, which is based on mathematical perfectionism.
>>>
>>> Sure, but there aren't any there.
>> There are also mathematical errors.
>
> There are no mathematical errors in Einstein's 1905 paper.
>
>> E.g. the first equation on page 4:
>>
>> 'tau' is here the name of a linear function, which has four vectors as
>> arguments.
>
> No, that's false. You don 't understand the basics yet to attempt
> to critique this paper? How on earth does that work outside
> the world of the aforementioned Monty Python?
>
> tau is a function of ONE vector variable, written in terms of
> its FOUR *components* (which are not scalars in the physics sense BTW).
> On top of that, the coordinates are not the (x, y, z, t)  but  (x', y, z, t).
>
>> since tau is a linear function, the argument on the right side of the
>> equation must have zero at the first position,
>
> WHAT??

'tau' was defined as a linear function, but was otherwise not specified.

(it was bad to name this function 'tau', because tau was already in use. 
But that is a different story.)

If you have a linear function - say- f(x) (with the argument x being a 
vector) and apply a factor a to f(x) you get

a* f(x) = f(a*x)

And because x is a vector, you can multiply the factor 'a' into the 
vector, too.

Here I take (x,y,z,t) as a vector and multiply a with it:

a*(x,y,z,t)=(a*x,a*y,a*z,a*t)

If x=y=z=0 then a*(x,y,z,t)=(0,0,0, a*t)

while Einstein wrote:

tau(x', 0,0, t + x'/(c-v))

I wrote:

this is actually correct, but only for x'=0.

>> while it has actually x'
>> there.
>
> Because that's what should be there. The equation expresses the
> constraints for the emission-reflection-return light ray scenario
> described in the paragraph immediately preceding that equation.

Well, in fact this requirement was not fullfilled with the equation, 
which contains a zero there, where you expected x'.

> The reason  x' is there is that the RHS refers to the light bouncing off the
> mirror which has the  x'-coordinate equal to  x' throughout.  On the LHS
> there are zeros because this is the x'-coordinate of the light emitter-receiver:
> it's equal to  0  throughout.

The coordinate x' was defined in the text by using the Gallileo 
transform x' = x- v*t

The velocity v was defined as velocity of the system k along the x-axis 
of K.

The source of the ray was defined as center of system k and x' as 
position of the mirror.

Now you don't need to be too smart to figure out, that x' must be the 
zero spot of K which has a x-coordinate of x=0.

That is all perfectly possible and the zero spot of K makes very much 
sense to place the mirror there.

But still the x-coordinate of the zero spot of K is zero.

That zero you can plug into the equations, where x' is used.

...

TH

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Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-17 17:11 -0700
  Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-18 09:33 +0200
    Re: Annotated version of SRT Odd Bodkin <bodkinodd@gmail.com> - 2022-04-18 12:38 +0000
      Re: Annotated version of SRT nospam@de-ster.demon.nl (J. J. Lodder) - 2022-04-18 16:05 +0200
        Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-18 09:24 -0700
    Crank Thomas Heger perseveres (in his imbecility) "Dono." <eggy20011951@gmail.com> - 2022-04-18 08:49 -0700
    Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-18 13:02 -0700
      Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-19 09:29 +0200
        Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-19 01:03 -0700
          Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-19 11:42 +0200
        Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-19 03:01 -0700
          Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-19 03:33 -0700
            Re: Annotated version of SRT Michael Moroney <moroney@world.std.spaamtrap.com> - 2022-04-19 11:05 -0400
              Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-19 08:25 -0700
          Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-21 08:53 +0200
            Re: Annotated version of SRT Reinhardt Behm <rbehm@hushmail.com> - 2022-04-21 13:13 +0000
              Re: Annotated version of SRT Paul Alsing <pnalsing@gmail.com> - 2022-04-21 07:32 -0700
              Re: Annotated version of SRT JanPB <filmart@gmail.com> - 2022-04-21 13:51 -0700
              Re: Annotated version of SRT nospam@de-ster.demon.nl (J. J. Lodder) - 2022-04-21 23:24 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-21 21:10 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-22 08:38 +0200
                Re: Annotated version of SRT nospam@de-ster.demon.nl (J. J. Lodder) - 2022-04-22 11:00 +0200
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-23 08:07 +0200
                Re: Annotated version of SRT RichD <r_delaney2001@yahoo.com> - 2022-04-23 14:59 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-24 07:36 +0200
                Re: Annotated version of SRT nospam@de-ster.demon.nl (J. J. Lodder) - 2022-04-24 10:41 +0200
                Re: Annotated version of SRT Maciej Wozniak <maluwozniak@gmail.com> - 2022-04-24 01:59 -0700
                Re: Annotated version of SRT Thomas Heger <ttt_heg@web.de> - 2022-04-26 09:02 +0200
            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> - 2022-04-24 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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