Imagine I got 2 identical, perfectly synced and nigh indestructible clocks, then 1 clock starts to move in a really tight circle of 0.9c would it ticks slowly? I just want to test twin paradox says instead of 1 of the twin took off into space in a round trip at near speed of light the individual starts to run around in a really tight circle on the spot at 0.9c so would then this individual aged differently?
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Yes the clock going around in a circle registers less time, for each orbit, than a clock sitting at one point not accelerating. Indeed this is precisely what happens in a particle accelerator involving a ring, such as the one at CERN. Here the 'clocks' are particles moving around the ring. However for protons there is not much internal dynamics of the proton so they don't indicate their own elapsed time in a way easy for us to detect. But other storage rings use particles such as muons which can decay. This decay process is itself a type of clock: it has its own characteristic half-life, and the muons going around such a ring last very much longer than muons sitting still next to the ring. This is a perfectly good example of the twin paradox.
Andrew Steane
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