Re: The real twin paradox.

colp <colp@xxxxxxxxxxxxx> wrote in
news:1a3bb0bf-fe3f-4080-9837-065d512490c9@xxxxxxxxxxxxxxxxxxxxxxxxxxx:

I didn't forget. The issue isn't critical in regard to the paradox,
that's all.

Perhaps each clock digitally
encodes the date and time and transmits it by radio, every second. This
is cheaper than having an infinite set of observers for each inertial
frame of reference so that the clocks can be checked by a nearby
observer co-moving with the other ships frame of reference.

O.K.


In any case, While traveling away from each other the signals from the
other ship are Doppler shifted downward in frequency and the time hacks
come further apart than once per second. When traveling toward each
other, the signal from the other ship is Doppler shifted upward in
frequency and the time ticks arrive faster than once per second.

Technically I think it's called red & blue shift rather than Doppler,
which
refers to sound rather electromatic radiation.

Tell that to the traffic cop that gave me a ticket.
He clocked me using a Doppler radar. :)

Actually, the term is freely used to describe the effect.
There are TWO different Doppler shifts. Actually three.
1) classical Doppler shift (newtonian physics)
2) relativistic Doppler shift
3) transverse Doppler shift

.....

Redshift/blueshift shift would be a real issue, but it is a different
one to
Lorentz-Fitzgerald time dilation. Redshift/blueshift is proportional
to
relative velocity, but time dilation has a non-linear relationship to
the
absolute value of the relative velocity.

http://en.wikipedia.org/wiki/Time_dilation

If I remember correctly, the relativistic Doppler shift takes into account
the classical Doppler shift AND the time dilation.

In classical Doppler, the shift drops to zero when the path of the wave is
perpendicular to the direction of travel. The transverse Doppler effect is
NOT zero at that point due to relativisitic effects.





--
bz

please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.

bz+spr@xxxxxxxxxxxxxxxxxxxx remove ch100-5 to avoid spam trap
.

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