Re: Twin Paradox Question




Russell wrote:
> 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?
Yeah the planet I was leaving was celebrating one birthday
for every two on the planet I was approaching. The
situation reversed on my return trip so everybody must have
had the number of birthdays.

> SR makes a *quantitative*
> prediction
Where ?
http://www.bartleby.com/173/

> 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,

I did the calculation.

Now show me Einstein's calculation.

Sue...


> 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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