International Journal of Theoretical Physics

, Volume 56, Issue 1, pp 259–269 | Cite as

The Geometry of Noncommutative Space-Time

  • R. Vilela Mendes


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.


Spacetime Noncommutative geometry Gravity 


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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Centro de Matemática e Aplicações FundamentaisUniversity of LisbonLisboaPortugal

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