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arXiv · 1007.4094

Modular Theory, Non-Commutative Geometry and Quantum Gravity

Paolo Bertozzini·Roberto Conti·Wicharn Lewkeeratiyutkul
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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.

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BibTeXRIS

Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul. 2010-08-19. Modular Theory, Non-Commutative Geometry and Quantum Gravity. https://doi.org/10.3842/sigma.2010.067

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