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## Main Question or Discussion Point

At the beginning of his 1905 paper 'On the Electrodynamics of Moving Bodies' Einstein defined the synchronization between two clocks using light signals, and on this basis formulates the following theorems

Furthermore, he assumes the following postulate holds true:

So if a clock A at rest at the origin of the stationary system sends out a light signal with a timestamp t_A to a clock C at rest at location x in the stationary system, and this time stamp is found to synchronize with clock C (t_C = t_A +x/c), then the same timestamp t_B=t_A sent out by a clock B in motion at the origin of the stationary frame should, as per the above postulate, also synchronize with clock C.

However, this appears to contradict the Lorentz transformation, where a moving clock does not synchronize with a distant clock in the stationary system even if it synchronizes with a co-located stationary clock. How is this contradiction explained?

**1. If the clock at B synchronizes with the clock at A, the clock at A synchronizes with the clock at B.**

2. If the clock at A synchronizes with the clock at B and also with the clock at C, the clocks at B and C also synchronize with each other.

2. If the clock at A synchronizes with the clock at B and also with the clock at C, the clocks at B and C also synchronize with each other.

Furthermore, he assumes the following postulate holds true:

**Any ray of light moves in the 'stationary' system of co-ordinates with**

the determined velocity c, whether the ray be emitted by a stationary or

by a moving body.the determined velocity c, whether the ray be emitted by a stationary or

by a moving body.

So if a clock A at rest at the origin of the stationary system sends out a light signal with a timestamp t_A to a clock C at rest at location x in the stationary system, and this time stamp is found to synchronize with clock C (t_C = t_A +x/c), then the same timestamp t_B=t_A sent out by a clock B in motion at the origin of the stationary frame should, as per the above postulate, also synchronize with clock C.

However, this appears to contradict the Lorentz transformation, where a moving clock does not synchronize with a distant clock in the stationary system even if it synchronizes with a co-located stationary clock. How is this contradiction explained?