Re: The Spin Proviso to Relativity
From: sal (pragmatist_at_nospam.org)
Date: 10/20/04
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Date: Wed, 20 Oct 2004 15:52:28 -0400
On Wed, 20 Oct 2004 21:06:20 +0200, Paul B. Andersen wrote:
>
> "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, what do you mean by "Earth fixed frame"? Do you mean the
inertial frame which is momentarily comoving with the surface at one
particular point?
-- I can be contacted through http://www.physicsinsights.org
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