Luigi Fortunati

2023-09-17 06:24:22 UTC

If clocks A and B are stopped, they remain synchronized.

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.

The animation

https://www.geogebra.org/m/mxg5xnzy

is correct?

Luigi

[[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?

-- jt]]

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.

The animation

https://www.geogebra.org/m/mxg5xnzy

is correct?

Luigi

[[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?

-- jt]]