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Quantum space–time and classical gravity
1998
Journal of Mathematical Physics
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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