Modular Theory, Non-Commutative Geometry and Quantum Gravity
General Relativity and Quantum Cosmology
2011-03-28 v2 Mathematical Physics
math.MP
Operator Algebras
Quantum Physics
Abstract
This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative geometry aiming at the reconstruction of spectral geometries from an operational formalism of states and categories of observables in a covariant theory. Care has been taken to provide a coverage of the relevant background on modular theory, its applications in non-commutative geometry and physics and to the detailed discussion of the main foundational issues raised by the proposal.
Cite
@article{arxiv.1007.4094,
title = {Modular Theory, Non-Commutative Geometry and Quantum Gravity},
author = {Paolo Bertozzini and Roberto Conti and Wicharn Lewkeeratiyutkul},
journal= {arXiv preprint arXiv:1007.4094},
year = {2011}
}
Comments
Special Issue "Noncommutative Spaces and Fields"