Re: The real real twin paradox.

On 30 nov, 19:25, colp <c...@xxxxxxxxxxxxx> wrote:
On Nov 30, 7:04 pm, Bryan Olson <fakeaddr...@xxxxxxxxxxx> wrote:

colp wrote:
Daryl McCullough
wrote:
colp says...

If you do not account for what relativity says happens when you
change frames, then you get a contradiction.

So what does relativity say happens when you change frames?

From http://www.fourmilab.ch/etexts/einstein/specrel/www/, just before
section 5, it says exactly:
"From this there ensues the following peculiar consequence. If at the
points A and B of K there are stationary clocks which, viewed in the
stationary system, are synchronous; and if the clock at A is moved
with the velocity v along the line AB to B, then on its arrival at B
the two clocks no longer synchronize, but the clock moved from A to B
lags behind the other which has remained at B by (1/2)(v^2/c^2) (up to
magnitudes of fourth and higher order), t being the time occupied in
the journey from A to B.
It is at once apparent that this result still holds good if the clock
moves from A to B in any polygonal line, and also when the points A
and B coincide.
If we assume that the result proved for a polygonal line is also valid
for a continuously curved line, we arrive at this result: If one of
two synchronous clocks at A is moved in a closed curve with constant
velocity until it returns to A, the journey lasting t seconds, then by
the clock which has remained at rest the travelled clock on its
arrival at A will be (1/2)(v^2/c^2) second slow. Thence we conclude
that a balance-clock at the equator must go more slowly, by a very
small amount, than a precisely similar clock situated at one of the
poles under otherwise identical conditions."

Miguel Rios
.

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