We now turn to the quantum mechanics of a point particle in a general metric-affine space. We first consider the path integral in a flat space with Cartesian coordinates
where 
is an
abbreviation for the short-time amplitude
with 
.
A possible external
potential has been
omitted since this would
contribute in
an additive way,
uninfluenced by the space geometry.
Our basic postulate is that the path integral in a general metric-affine space should be obtained by an appropriate nonholonomic transformation of the amplitude (92) to a space with curvature and torsion.
