We solve for quantum Riemannian geometries on the finite lattice interval • - • -⋯- • with n nodes (the Dynkin graph of type An) and find that they are necessarily q-deformed with q = e ı π n + 1 . This comes out of the ...

We review quantum gravity model building using the new formalism of 'quantum Riemannian geometry' to construct this on finite discrete spaces and on fuzzy ones such as matrix algebras. The formalism starts with a 'differential ...