How Do New Space-Time Coordinate Transformations Impact Clock Synchronization?

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Please consider that somebody has proposed a set of trfansformation equations for the space-time coordinates of the same event different from that proposed by Einstein. How could we find out the clock synchronization procedure behind them?
 
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Suppose we did consider this. You asked how "we find out the clock synchronization procedure behind them". The clock synchronization procedure by definition defines these transformations so I don't know you come about asking one while presuming to have the other. I suspect to much detail here will get your question locked, probably for good reason, so PM me. Note that this offer neither obligates me to anything nor requires me to be nice.
 

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