2023-09-17 06:24:22 UTC
If clock B stands still and clock A moves (land reference), every time
they meet clock A lags behind.
If clock A stands still and clock B moves (reference of the carousel),
every time they meet clock B lags behind.
[[Mod. note -- All observers can agree on
(a) The events when the two clocks are next to each other, i.e., the events
when the carousel has made 0 revolutions (the starting event), and when
the carousel has made 1 complete revolution.
(b) The two clock readings at an event when the two clocks are next to each
other. At the starting event both readings are 0. After one complete
revolution the readings are carousel=9, ground=10.
So, the question to figure out is, how does the carousel observer obtain
consistent results? I must confess that the answer isn't immediately
obvious to me, but it's late a night in my time zone and I'm tired. :)
Clearly the carousel reference frame is not an inertial reference frame.
Accelerations don't affect the rates of (ideal) clocks in relativity,
but maybe we need to consider the Sagnac effect?