Quantum space–time and classical gravity

J. Madore, J. Mourad
1998 Journal of Mathematical Physics  
A method has been recently proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example a version of quantized space-time is considered here. It is found that there is a natural differential calculus using which the space-time is necessarily flat Minkowski space-time. Perturbations of this calculus are shown to give rise to non-trivial gravitational fields.
doi:10.1063/1.532328 fatcat:udzlznrsujbn7jzgvps27kz3e4