Recent content by John R. Smith

I was reading "On the Gauge Aspects of Gravity" by Gronwald and Hehl and came across the usual statement that Utiyama gauged the Lorentz group SO(1,3) in 1956 and recovered GR with some additional assumptions. Utiyama was working at the Institute for Advanced Study at the time. Earlier, also at...

Thanks Mentz114 Is the operation of geometric addition of infinitesimal coordinate segments commutative in spaces with intrinsic torsion? It looks, to me, like addition of these segments in different order leads to different end-points displaced by an amount delta^a = 2 X^a_b,c d1^b d2^c...

I think the basic idea is that a space with zero torsion satisfies commutativity in displacements. In other words infinitesimal displacements commute and the parallelogram law of vector addition is well-defined. This is not the case in a space with non-zero torsion. Clearly one wants to have a...