The algebraic quantum gravity approach derives the Kaluza-Klein ansatz from quantum spacetime, produces conserved charges on lattices, yields a generally covariant quantum mechanics with black-hole results, and identifies a phase transition in a 4-pointed star model of Euclidean quantum gravity.
Amelino-Cameliaet al., Redshift leverage for the search of GRB neutrinos affected by quantum properties of spacetime, J
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Algebraic approach to quantum gravity IV: applications
The algebraic quantum gravity approach derives the Kaluza-Klein ansatz from quantum spacetime, produces conserved charges on lattices, yields a generally covariant quantum mechanics with black-hole results, and identifies a phase transition in a 4-pointed star model of Euclidean quantum gravity.