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• W3048555315 abstract "This is a self-contained introduction to quantum Riemannian geometry based on quantum groups as frame groups, and its proposed role in quantum gravity. Much of the article is about the generalisation of classical Riemannian geometry that arises naturally as the classical limit; a theory with nonsymmetric metric and a skew version of metric compatibilty. Meanwhile, in quantum gravity a key ingredient of our approach is the proposal that the differential structure of spacetime is something that itself must be summed over or `quantised' as a physical degree of freedom. We illustrate such a scheme for quantum gravity on small finite sets." @default.
• W3048555315 created "2020-08-18" @default.
• W3048555315 creator A5074290225 @default.
• W3048555315 date "2006-04-19" @default.
• W3048555315 modified "2023-09-27" @default.
• W3048555315 title "Algebraic approach to quantum gravity III: noncommmutative Riemannian geometry" @default.
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