I will derive a crucial property of loop quantum cosmology it shares with string/M-theory and asymptotically free quantum gravity theory, namely, that the associated Wigner-Moyal-Groenewold operator-formalism entails that the Holst-Barbero-Immirzi 4-spinfold has the property of spacetime uncertainty that I derived for string/M-theory, an essential property if loop quantum gravity is to be a valid quantum gravity theory. As I showed, in 4-D spacetime, the general relativistic starting point for canonical loop quantum gravity is given by:

where the dynamical variables are the tetrad one-form fields:

and the $SL\left( {2,\mathbb{C}} \right)$-valued connection $\omega _\mu ^{IJ}$ whose curvature is:

and is a connection on the holonomy-flux algebra for a homogeneous isotropic Friedmann–Lemaître–Robertson–Walker 'space'

Hence, we have the two-form:

with:

and ${\rm{Tr}}$ is the Killing form on the Lie algebra $SL\left( {2,\mathbb{C}} \right)$:

with

the totally antisymmetric tensor given by: