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In the equation, everything after the "minus d t squared" is defined incompletely, if at all. I know SR pretty well, and I have no idea what "h" is or what and b represent, much less multiplying them all together in various combinations. All I can tell is that this is some kind of mutant bastard child of the Lorentz metric where h, a, and b grow out of it like a tumor. 67.162.165.126 (talk) 05:03, 20 May 2013 (UTC)Reply

The other article is more complete and I think the difference between a synchonous frame and synchronous coordinates is sufficiently small that one article that explains both would make more sense. — Preceding unsigned comment added by 130.225.212.4 (talk) 15:25, 2 July 2014 (UTC)Reply

I would suggest adding:

Synchronous coordinates can be physically/experimentally interpreted as:

Take any single coordinate point ${\displaystyle p(t,x,y,z)}$ and two test particles ${\displaystyle a(s=0,t,x,y,z),b(s=0,t,x,y,z)}$, ${\displaystyle s}$ being the calibration of two identical clocks on the test particles, positioned at ${\displaystyle p(t,x,y,z)}$ ; but with ${\displaystyle a,b}$ having different velocities and subsequently following their respective geodesic paths.

After proper time ${\displaystyle s}$ for both ${\displaystyle a,b}$ they will be at co-ordinates ${\displaystyle a(s,t+s,x',y',z'),b(s,t+s,x'',y'',z'')}$ ; where ${\displaystyle (x',y',z'),(x'',y'',z'')}$ are the respectively spacelike position coordinates resulting from the individual geodesics paths.

And no I am not able to prove this from the form of the metric yet; but would like a proof. Ray Rrogers314 (talk) 16:24, 6 December 2016 (UTC)Reply

Including an additional s coordinate as calibration complicates things with the metric. For example, we can't be sure that after the 2 particles move to different points in the curved space, s and t+s will be the same for both. Lantonov (talk) 09:19, 7 August 2018 (UTC)Reply

I am hesitating between the article being titled "Synchronous (reference) frame" and "Synchronous coordinates". The first one is used more often and is somewhat more precise. However, an average reader would tend to mix it with "Synchronous reference frame (SRF) theory" as used in electrical engineering to denote a frame that rotates at a synchronous speed with an application in 3-phase controls. Another possible solution is a disambiguation as "Synchronous reference frame (relativity)" and "Synchronous reference frame (electrical engineering)". Lantonov (talk) 19:56, 15 July 2018 (UTC)Reply

Fortunately, we still don't have Synchronous reference frame connected to electrical engineering so leave title in peace for now and disambiguate only when needed. Lantonov (talk) 09:07, 7 August 2018 (UTC)Reply