Einstein synchronisation sets clocks at rest in one inertial frame using exchanged light signals. If the sending clock records departure at and return at , the distant clock's reflection reading is set to . This convention assigns equal outgoing and incoming travel times and defines the frame's distant simultaneity. It does not set the arrival time of an image equal to the time of the remote spacetime event.
For ideal clocks in an inertial frame separated by fixed distance , transporting a clock at small speed produces lag . Hence the limit agrees with Einstein synchronisation, assuming the clock hypothesis. A relabelling retains an endpoint offset , so the result does not remove the choice of distant-time convention.
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Einstein synchronization is a procedure used in the context of special relativity to synchronize clocks in different locations. The concept was introduced by Albert Einstein in his 1905 paper on special relativity. The idea involves using light signals to synchronize two clocks. Suppose you have two clocks, one at point A and another at a distant point B. The process works as follows: 1. **Send a Light Signal:** A light signal is emitted from clock A towards clock B at time \( t_A \).