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Models of noncommutative differential geometries

Total Cost €


EC-Contrib. €






 NCDIFFGEO project word cloud

Explore the words cloud of the NCDIFFGEO project. It provides you a very rough idea of what is the project "NCDIFFGEO" about.

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Project "NCDIFFGEO" data sheet

The following table provides information about the project.


Organization address
address: 327 MILE END ROAD
city: LONDON
postcode: E1 4NS

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-02-01   to  2018-01-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    QUEEN MARY UNIVERSITY OF LONDON UK (LONDON) coordinator 183˙454.00


 Project objective

Quantum spacetime is the idea that spacetime coordinates are not classical variables but elements of a noncommutative 'co-ordinate algebra' much as in quantum theory. The first convincing models of (flat) quantum spacetime appeared in the 1990's, typically on the basis of quantum symmetry using the then-new theory of quantum groups. The thinking is that such noncommutativity should arise from quantum gravity effects and allows us to model these in an effective description without full knowledge of quantum gravity itself (this not being known). Such flat quantum spacetimes are an area of existing strength for EU science. The project proposes a new generation of quantum spacetime models no longer tied to quantum symmetry. Instead the Marie Skłodowska-Curie Fellowship will train an experienced Researcher coming from theoretical physics in new highly algebraic tools which are not easily accessible to physicists and which amount to a mathematical theory of 'noncommutative Riemannian geometry' including quantum differentials, quantum metrics, and quantum-Levi Civita connections and quantum curvature. The realisation of the project will validate and enrich the mathematical formalism and also promises a next generation of physical effects related to the conjunction of both gravity and quantum noncommutativy, which will stimulate original and creative approaches to quantum gravity across several EU institutes. It will also greatly enhance the competitiveness of the Researcher in complementing her knowledge of theoretical physics by mathematics (noncommutative differential geometry) which will put her in a seminal position for subsequent work. The quality and ambition of the research objectives, the possibilities of interdisciplinary collaborations and the international recognition of the Supervisor will further enhance the action and the Researcher's career.


year authors and title journal last update
List of publications.
2017 Paolo Aschieri, Andrzej Borowiec, Anna Pachoł
Observables and dispersion relations in κ-Minkowski spacetime
published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP10(2017)152
Journal of High Energy Physics 2017/10 2019-06-18
2017 Stjepan Meljanac, Daniel Meljanac, Anna Pachoł, Danijel Pikutić
Remarks on simple interpolation between Jordanian twists
published pages: 265201, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa72d7
Journal of Physics A: Mathematical and Theoretical 50/26 2019-06-18
2017 Pachoł, Anna; Borowiec, Andrzej
Twisted bialgebroids versus bialgebroids from a Drinfeld twist
published pages: , ISSN: 1751-8121, DOI: 10.1088/1751-8121/50/5/055205
Journal of Physics A: Mathematical and Theoretical 1 2019-06-18

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