  Presented is a quantum gravity theory that is a quantum mechanical
generalization of Einstein's vierbein field-based approach, where the classical
metric tensor field is promoted to a quantum mechanical metric tensor field
operator. The quantum gravity theory derives from quantum information dynamics
intrinsic to quantized space, which is taken to be a tensor product space on a
qubit array. Hence, the metric tensor field operator is expressed as a product
of two frame 4-vectors, which are anticommuting operators and naturally
represented by Dirac matrices. The quantum gravity theory reduces to an
effective nonlinear theory for a superconductive Fermi condensate. The
asymmetric part of the metric tensor field operator encodes a fermion's
intrinsic spin and mass in the torsion of space. A lower bound on the Fermi
condensate's pair mass is found and the pair's mass estimated.
