Unifying GR & QM with Noncommutative Geometry

[s3nn0c]

I've just found that article about noncommutative model unifying GR & QM.

http://arxiv.org/abs/gr-qc/0504014

A few quotes:

Noncommutative geometry plays an increasingly important role in the present search for quantum gravity. It has also recently been recognized that it is a useful tool in superstring theory. In a series of papers, we have proposed our own approach to the unification of general relativity and quantum mechanics based on noncommutative geometry.

We show that the generalized Einstein equation of the model has the form of the eigenvalue equation for the generalized Ricci operator, and all relevant operators in the quantum sector of the model are random operators; we study their dynamics. We also show that the model correctly reproduces general relativity and the usual quantum mechanics.

 

[arivero]

The role of groupoids in quantisation is a important point :-)

 

[ohwilleke]

The big conclusion of this paper (futher elaborated here: http://arxiv.org/PS_cache/gr-qc/pdf/9806/9806011.pdf ) is that their theory is strongly "non-local", in other words, it naturally provides a basis for the EPR experiments which demonstrated that quantum entanglement can allow particles at a distance to communicate superluminally. It is also (?as a consequence?) strongly Machian. The investigators suspect a sub-Plank regime at which this operators and a spin foam like ambiguous micro-spacetime geometry of space.

I must admit that having a principle research in the Vatican, and two others in Warsaw (closely associated with the late Pope John Paul II), does raise an eyebrow or two, but it is an interesting theory.

 

[selfAdjoint]

the EPR experiments which demonstrated that quantum entanglement can allow particles at a distance to communicate superluminally.

Did not either.