12 citations · 24 across the 3 of their papers we have counts for
3 papers
math-ph2012★ 12 cited
C*-algebras of Holonomy-Diffeomorphisms & Quantum Gravity I
Johannes Aastrup, Jesper M. Grimstrup
A new approach to a unified theory of quantum gravity based on noncommutative geometry and canonical quantum gravity is presented. The approach is built around a *-algebra generate…
math-ph2012
C*-algebras of Holonomy-Diffeomorphisms & Quantum Gravity II
Johannes Aastrup, Jesper M. Grimstrup
We introduce the holonomy-diffeomorphism algebra, a C*-algebra generated by flows of vectorfields and the compactly supported smooth functions on a manifold. We show that the separ…
gr-qc2012★ 12 cited
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Johannes Aastrup, Jesper M. Grimstrup
We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures…