The geometry of noncommutative space-time
arXiv:1710.06756 · doi:10.1007/s10773-016-3166-9
Abstract
Stabilization, by deformation, of the Poincaré-Heisenberg algebra requires both the introduction of a fundamental lentgh and the noncommutativity of translations which is associated to the gravitational field. The noncommutative geometry structure that follows from the deformed algebra is studied both for the non-commutative tangent space and the full space with gravity. The contact points of this approach with the work of David Finkelstein are emphasized.
arXiv comment12 pages Latex
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