Re: Twin Paradox Question
- From: "Russell" <russell@xxxxxxxx>
- Date: 12 Dec 2005 20:22:01 -0800
Sue... wrote:
> Russell wrote:
> > Sue... wrote:
[snip]
> > > So... what do the Jovian moons appear to both observers
> > > while all this hair is growing and greying?
> >
> > On the return trip, the youthful twin sees the moon zooming
> > at high speed around Jupiter. It makes up all of the orbits
> > that failed to be seen on the outbound trip. The total counts
> > come out the same at the moment the twin gets home.
>
> So if we use Jupiter's moons to measure his reading speed
> he reads fast departing but slow returning.
If we use the *received* frequency of the moon's orbit, that is
correct. Note, in our usual time coordinates this frequency is
Doppler shifted, so just to be clear, let us say explicitly that
we make *no* compensation for Doppler.
We can do
> the same for rate of hair growth.
Yes indeed.
> You just defeated your own argument.
How so? Did you do the calculation? SR makes a *quantitative*
prediction and I didn't see any numbers from you. I think you are
neglecting a very important detail: his outbound trip is very short
in terms of received-moon-frequency-based time. That is, in your
weird units, the time interval over which his hair grows fast and his
pages turn quickly is *very* short compared to the time interval
over which hair-growth and page-turn rates are slow. The two do
not offset each other at all, and the overall effect is one of
*slowness* in your weird units. As I said, he reads less than
one chapter and he never has to visit the barber, unlike his
brother (who btw knows it would be an abomination to speed-read
Tolstoy).
If you don't want to do the calculation, please *do* read the FAQ
on the Doppler explanation of the twin paradox. You are smart
enough to infer from that page the result that SR would give for
such a calculation, as transformed to your units.
.
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