Annotated Einstein Clock


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.

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.

Absent is any inversse form of equation
http://www.bartleby.com/173/M5.GIF
further absent is a rigorous demonstration that such
inverse application will conserve all clock strokes
emitted as images.

Sue...





.

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