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Universe 2017, 3(1), 25;

The Geometry of Noncommutative Spacetimes

Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. prof. Stanisława Łojasiewicza 11, 30-348 Kraków, Poland
Copernicus Center for Interdisciplinary Studies, ul. Szczepańska 1/5, 31-011 Kraków, Poland
Academic Editors: Mariusz P. Dąbrowski, Manuel Krämer and Vincenzo Salzano
Received: 11 February 2017 / Revised: 10 March 2017 / Accepted: 12 March 2017 / Published: 16 March 2017
(This article belongs to the Special Issue Varying Constants and Fundamental Cosmology)
View Full-Text   |   Download PDF [286 KB, uploaded 17 March 2017]   |  


We review the concept of ‘noncommutative spacetime’ approached from an operational stand-point and explain how to endow it with suitable geometrical structures. The latter involves i.a. the causal structure, which we illustrate with a simple—‘almost-commutative’—example. Furthermore, we trace the footprints of noncommutive geometry in the foundations of quantum field theory. View Full-Text
Keywords: Lorentzian geometry; causality; noncommutative geometry; quantum spacetime Lorentzian geometry; causality; noncommutative geometry; quantum spacetime

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Eckstein, M. The Geometry of Noncommutative Spacetimes. Universe 2017, 3, 25.

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