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Sat 12 Mar, 2005 10:03 pm
Nothing can exceed lightspeed under relativistic conditions, so reason this out.
You have a black ring 2 light seconds in radius (about 600,000 km). At the centre of this ring you place a powerful laser on a turntable rotating once every second, so the laser is always aimed at a point on this ring. You stand above the turntable looking at the laser striking the ring.
So the laser beam once switched on takes 2 seconds to first strike the outter ring (and another 2 seconds to bounce back to you). After one more second that dot of the laser hitting the ring wall has completed a rotation of the ring.
So from your point of reference between seconds 4 to 5 after switching on the laser you have observed the dot do a rotation around this ring. Now this ring has diammeter 2 pi radius or roughly - 2 * 3.14 * 2 lightseconds = roughly 12 lightseconds.
So in 1 second (between moments 4 seconds to 5 seconds after starting the experiment) and every second after this you are seeing a dot of light travelling around the circumference at a rate of 12 times the speed of light?
The dot of light doesn't travel around the ring. All you see are separately emitted and reflected photons, none of which exceed c at any time. No information is passed from one photon to another along the ring, so there is no violation of lightspeed going on.
Damn but that was well answered, and quickly too!