Sparring Sparling III
Note that by considering stationary objects in the Sparling metric, in the approximation of one $c$ value, we obtain
$s^2 = c^2 (t^2 + u^2 + v^2)$
which is basically Louise's equation, provided we set a time parameter $T$ to be the length of the time 3-vector. Unfortunately, Lunsford does not appear to have a blog, but here is a link to Nigel's discussion on this matter.