A Galilean transformation is defined as a transformation that preserves the structure of Galilean space, namely:(adsbygoogle = window.adsbygoogle || []).push({});

1. time intervals;

2. spatial distances between any two simultaneous events;

3. rectilinear motions.

Can anyone give a short argument for the fact that only measuring the distance between simultaneous events is relevant? I've just read one in the Course on Mathematical Physics by Szekeres, but I am not particularly enthusiastic about it. I'm willing to say a few words about that, but for the moment I just wonder what other people would say on this issue.

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# The Structure of Galilean Space

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