Non-Commutative Geometry, Categories and Quantum Physics

Details Non-Commutative Geometry, Categories and Quantum Physics Non-Commutative Geometry, Categories and Quantum Physics

2008-01-18

arxiv.org/abs/0801.2826v2

East-West Journal of Mathematics "Contributions in Mathematics and Applications II" Special Volume 2007, 213-259 (2008)

Mathematics

Operator Algebras

Survey paper, 70 pages, AMS-LaTeX2e, results unchanged, considerably expanded version of the published paper (only for the arX

Scientific paper

After an introduction to some basic issues in non-commutative geometry (Gel'fand duality, spectral triples), we present a "panoramic view" of the status of our current research program on the use of categorical methods in the setting of A.Connes' non-commutative geometry: morphisms/categories of spectral triples, categorification of Gel'fand duality. We conclude with a summary of the expected applications of "categorical non-commutative geometry" to structural questions in relativistic quantum physics: (hyper)covariance, quantum space-time, (algebraic) quantum gravity.

Affiliated with

Also associated with

No associations

Rating

Non-Commutative Geometry, Categories and Quantum Physics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-Commutative Geometry, Categories and Quantum Physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Commutative Geometry, Categories and Quantum Physics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690915