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## Main Question or Discussion Point

This is a paradox that I have derived based on my understanding of relativity of simultaneity. Upon someone resolving it, I should be better able to understand the concept, which seems rather contradictory of the greater theory at this point in time.

If events are considered to be simultaneous to a stationary observer, then the lack of simultaneity for a moving observer can be calculated based on the velocity of the moving observer and the distance between events in the moving observers frame of reference.

T= DV/C^2

Or

Duration between events in moving observers frame = (Distance between events in moving observers frame * Velocity of moving observer)/ The speed of light^2

In this paradox, a prisoner has been locked a really long opaque room, which he knows is being transported through space. In this tube he is left with two cuckoo clocks at either end, each one a light second away from him. He notices that one is ahead of the other, as he can see the hour indicated by the actions of the cuckoo clock, that one of them starts 1s before the other.

He considers if they are simultaneous to a stationary observer, then he must have a velocity of 0.5C, but due to not knowing if this discrepancy is just simply due to not setting the clocks correctly, he cannot determine his velocity.

After some time he considers that if he switches the clocks, placing one in the place the other was, he would be able to determine the speed at which he travels

When he does this he notices that the clocks maintain the 1s discrepancy with the one that is forward, only being due to which end of the room it hangs from. He is then able to rule out a fault in synchronisation and can safely assume that his speed is 0.5C

The principle of relativity forbids such a method from determining an absolute velocity.

I am very interested in how this paradox is resolved.

If events are considered to be simultaneous to a stationary observer, then the lack of simultaneity for a moving observer can be calculated based on the velocity of the moving observer and the distance between events in the moving observers frame of reference.

T= DV/C^2

Or

Duration between events in moving observers frame = (Distance between events in moving observers frame * Velocity of moving observer)/ The speed of light^2

In this paradox, a prisoner has been locked a really long opaque room, which he knows is being transported through space. In this tube he is left with two cuckoo clocks at either end, each one a light second away from him. He notices that one is ahead of the other, as he can see the hour indicated by the actions of the cuckoo clock, that one of them starts 1s before the other.

He considers if they are simultaneous to a stationary observer, then he must have a velocity of 0.5C, but due to not knowing if this discrepancy is just simply due to not setting the clocks correctly, he cannot determine his velocity.

After some time he considers that if he switches the clocks, placing one in the place the other was, he would be able to determine the speed at which he travels

When he does this he notices that the clocks maintain the 1s discrepancy with the one that is forward, only being due to which end of the room it hangs from. He is then able to rule out a fault in synchronisation and can safely assume that his speed is 0.5C

The principle of relativity forbids such a method from determining an absolute velocity.

I am very interested in how this paradox is resolved.