Dolan, Brian P. and Gupta, Kumar S. and Stern, A. (2009) Noncommutativity and quantum structure of spacetime. Journal of Physics: Conference Series, 174 (012023). ISSN 1742-6588

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Abstract

Noncommutative geometry is a candidate for describing physics at the Planck scale. Although there are various proposals to formulate gravity theories in the noncommutative framework, not many exact solutions of noncommutative gravity theories are known. In this talk we describe a possible noncommutative analogue of the BTZ black hole, which is consistent with the geometric structure of the problem. The spacetime Poisson brackets that we obtain indicate the possibility of the quantization of time. We briefly discuss the issues of symmetries and particle statistics in such a spacetime.

Item Type:	Article
Keywords:	Noncommutativity; quantum structure; spacetime; noncommutative geometry;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	10492
Identification Number:	https://doi.org/10.1088/1742-6596/174/1/012023
Depositing User:	Dr. Brian Dolan
Date Deposited:	15 Feb 2019 15:01
Journal or Publication Title:	Journal of Physics: Conference Series
Publisher:	Institute of Physics
Refereed:	Yes
URI:	https://iopscience.iop.org
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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