Re: The Spin Proviso to Relativity
From: Paul B. Andersen (paul.b.andersen_at_hia.no)
Date: 10/20/04
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Date: Wed, 20 Oct 2004 21:06:20 +0200
"Ben Bean" <kavs_delethis_@sysmatrix.net> skrev i melding news:B8SdncZcW_z2v-ncRVn-oA@sysmatrix.net...
> I am eager to hear wisdoms in answer to the quandary below stated.
>
> SCENARIO: You stand on a planet just like Earth, but there's no atmosphere.
> You stand on the equator and hold your hands up to the air so that they are
> a meter apart. [Relax, this is NOT a study in relative simultaneity like the
> Barn/Pole thing.] As you stand there a huge spacecraft coasts by just
> overhead, just beyond your reach. The ship seems motionless to you,
> hovering, because it is going eastward at a speed to exactly match the
> planet's tangential rotational speed. As you reach up, your outstretched
> fingertips are just about touching the 842-meter mark and the 843-meter mark
> on the rule graduated on the enormous ship's straight exterior.
>
> Here's the quandary: the spaceship occupants can EMPHATICALLY assert that an
> all-way light beacon pulse emitted midway between their ship's 842 &
> 843-meter marks will hit the two nearby meter marks simultaneously,
> according to their native frame's clocks and such. Yet the guy on the planet
> cannot make the same claim?? When does an arbitrary local span become
> tantamount to an SR scenario. In spite of Sagnac, there must surely be some
> carry-over; I mean you're just about TOUCHING that other frame, comoving.
>
> -Ben
Of course the guy on the planet will agree that the light will hit the two metre
marks simultaneously. That is, if he had one clock at each side of himself,
and he E-synched those clocks, they would show the same when hit
by the light.
However, if the two clocks were showing UTC, they would NOT
show the same when hit by the light.
Clocks on the surface of the Earth showing UTC are NOT synchronous
in the Earth fixed frame. They are synchronous in the non rotating ECI-frame.
Paul
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