Geographers already have a system for recording positions relative to continental plates - in Europe that means ETRS89 [1], North American NAD-83 [2], Australian GDA94 and so on.

Of course, getting all software to support multiple datums might be a complicated matter, as 98% of things like online slippy maps and mobile phone geolocation APIs just use WGS84, the familiar datum used by GPS.

[1] https://en.wikipedia.org/wiki/European_Terrestrial_Reference... [2] https://en.wikipedia.org/wiki/North_American_Datum