Re: Annotated Einstein Clock


"Paul B. Andersen" <paul.b.andersen@xxxxxxxxxxxxxxxx> wrote in message news:dcnqea$6or$1@xxxxxxxxxxxxxxxxxxx
> sue jahn wrote:
> > Annotated Exerpt from:
> > XII. The Behaviour of Measuring-Rods and Clocks in Motion
> > Albert Einstein (1879-1955). Relativity: The Special and General Theory. 1920
> > http://www.bartleby.com/173/12.html
> > ============================================
> > [Begin non-clock fluff]
> > A priori it is quite clear that we must be able to learn something
> > about the physical behaviour of measuring-rods and clocks from
> > the equations of transformation, for the magnitudes x, y, z, t, are
> > nothing more nor less than the results of measurements obtainable
> > by means of measuring-rods and clocks. If we had based our
> > considerations on the Galilei transformation we should not have
> > obtained a contraction of the rod as a consequence of its motion. 4
> > Let us now consider a seconds-clock which is permanently
> > situated at the origin (x' = 0) of K'. t' = 0 and t' = 1 are two
> > successive ticks of this clock. The first and fourth equations of the
> > Lorentz transformation give for these two ticks: t = 0
> > and
> >
> > (eqution for interval t)
> >
> > [End non-clock fluff]
> >
> >
> > As judged from K, the clock is moving with the velocity v; as judged
> > [ note that judgement over a non zero length path is the only mechanism
> > stated to cause a variation in local and remote clocks]
> > from this reference-body, the time which elapses between two
> > strokes of the clock is not one second, but
> >
> > http://www.bartleby.com/173/M5.GIF (equation for interval)
> >
> > seconds, i.e. a somewhat larger time.
> > [here we must make the assumtion that the clock is moving away from the
> > observer. if it was moving toward the observer, he would say "a somewhat
> > smaller time" ]
> > As a consequence of its motion [away from the observer]
> > [Doppler effect]
> > the clock goes more slowly than when at rest.
>
> You are indeed confused.
> Time dilation has nothing whatsoever with Doppler effect to do,
> and it is irrelevant in which direction the clock is moving.
> When measured in K, the moving clock is running slow.
> It doesn't matter where an optional observer might be.
> And a clock that is running slow has _longer_ seconds.
> That is why it is called time _dilation_.
>
> >
> > Here also the velocity c plays the part of an
> > unattainable limiting velocity.
> > [the result of Coulomb coupling to matter in
> > the local FoR]
> >
> > ========================
> > Comments
> > The clock described, in order to slow with motion,
> > depends on the *inclusion* of an optical path
> > delay, which increases with the motion.
> > The clock is not characterized for motion
> > which would decrease the path length.
>
> Utter nonsense. :-)
>
> > Absent is any inversse form of equation
> > http://www.bartleby.com/173/M5.GIF
>
> And why would you have an inverse form of said equation?

So the twin can get home.

> The LT is:
> x' = (x - vt)/sqrt(1-v^2/c^2)
> t' = (t - vx/c^2)/sqrt(1-v^2/c^2)
> the inverse transform is:
> x = (x' + vt')/sqrt(1-v^2/c^2)
> t = (t' + vx'/c^2)/sqrt(1-v^2/c^2)
>
> > further absent is a rigorous demonstration that such
> > inverse application will conserve all clock strokes
> > emitted as images.
>
> What is this?

Satisfy the condition and the twins will agree on
what was on the screen at the Jupiter Drive-in Theatre.
Don't satify it and you have a fairy tale.

> New-speek? :-)
>
> Paul

Thank you for your thoughtful comments, Paul.

Kind regards,
Sue...


.

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