J. Madore, Laboratoire de Physique Theorique, Universite de Paris-Sud, Batiment 211, F-91405 Orsay and Max-Planck-Institut fur Physik, Fohringer Ring 6, D-80805 Munchen
An introduction to non-commutative geometry with an extensive bibliography on the subject. It also discusses a finite dimensional quantum mechanics and
the q-deformed Poincare group (or Lorentz) which act on a special, noncommutative version of a Minkowski space called the q--Minkowski space.
The lattice approximation of spacetime approach is also discussed, as is the loop-space approach to quantum gravity.
http://arxiv.org/PS_cache/gr-qc/pdf/9906/9906059v2.pdf
Rights:
Open access:
http://arxiv.org/PS_cache/gr-qc/pdf/9906/9906059v2.pdf
