The Geometry of Noncommutative Spacetimes

Universe

Michał Eckstein¹ 

[1] Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. prof. Stanisława Łojasiewicza 11, 30-348 Kraków, Poland;

关键词: Lorentzian geometry;    causality;    noncommutative geometry;    quantum spacetime;   

DOI  :  10.3390/universe3010025

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown