Any comments you have on section 8 of http://arxiv.org/pdf/1005.1057 are welcome and could be helpful. Section 8 "Spin Foams with Matter" begins on page 42 of Marcolli's latest paper. ==quote from ToC== 8. Spin foams with matter: almost-commutative geometries 42 8.1. The noncommutative geometry approach to the Standard Model 43 8.2. Spectral triples and loop quantum gravity 45 8.3. Spectral correspondences 46 8.4. Future work ==endquote== Abstract and context for Marcolli's paper, Spin Foams and Noncommutative Geometry, is provided here https://www.physicsforums.com/showthread.php?t=401394 in the brief Oberwolfach thread.