A general construction is given for the spacetime quantum Levi-Civita connection on time-sliced quantum Riemannian geometries, solved explicitly for fuzzy spheres and yielding a new discrete Z_n-FLRW model.
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gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
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Time-slicing quantum spacetimes
A general construction is given for the spacetime quantum Levi-Civita connection on time-sliced quantum Riemannian geometries, solved explicitly for fuzzy spheres and yielding a new discrete Z_n-FLRW model.
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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.