scholarly journals Notes on “Quantum Gravity” and Noncommutative Geometry

2010 ◽  
pp. 3-58 ◽  
Author(s):  
J.M. Gracia-Bondía
Keyword(s):  
Quantum Gravity ◽  
Noncommutative Geometry

scholarly journals Quantum gravity coupled to matter via noncommutative geometry

2011 ◽  
Vol 28 (7) ◽  
pp. 075014 ◽  
Author(s):  
Johannes Aastrup ◽  
Jesper Møller Grimstrup ◽  
Mario Paschke
Keyword(s):  
Quantum Gravity ◽  
Noncommutative Geometry

scholarly journals WHAT KIND OF NONCOMMUTATIVE GEOMETRY FOR QUANTUM GRAVITY?

2005 ◽  
Vol 20 (17n18) ◽  
pp. 1315-1326 ◽  
Author(s):  
PIERRE MARTINETTI
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Thermal Time ◽  
The Standard Model

We give a brief account of the description of the standard model in noncommutative geometry as well as the thermal time hypothesis, questioning their relevance for quantum gravity.

scholarly journals On Semi-Classical States of Quantum Gravity and Noncommutative Geometry

2011 ◽  
Vol 302 (3) ◽  
pp. 675-696 ◽  
Author(s):  
Johannes Aastrup ◽  
Jesper Møller Grimstrup ◽  
Mario Paschke ◽  
Ryszard Nest
Keyword(s):  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Classical States

scholarly journals EMERGENCE OF TIME FROM DIMENSIONAL REDUCTION IN NONCOMMUTATIVE GEOMETRY

2006 ◽  
Vol 21 (08) ◽  
pp. 639-647 ◽  
Author(s):  
CHONG-SUN CHU ◽  
OLAF LECHTENFELD
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Dimensional Reduction ◽  
Euclidean Geometry ◽  
Noncommutative Field Theory ◽  
Fundamental Theory ◽  
Temporal Dimension ◽  
New Form

By considering a new form of dimensional reduction for noncommutative field theory, we show that the signature of spacetime may be changed. In particular, it is demonstrated that a temporal dimension can emerge from a purely Euclidean geometry. We suggest that this mechanism may hint at the origin of time in the fundamental theory of quantum gravity.

scholarly journals LINE ELEMENT IN QUANTUM GRAVITY: THE EXAMPLE OF DSR AND NONCOMMUTATIVE GEOMETRY

2009 ◽  
Vol 24 (15) ◽  
pp. 2792-2801 ◽  
Author(s):  
PIERRE MARTINETTI
Keyword(s):  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Line Element ◽  
Leibniz Rule ◽  
Noether Symmetries ◽  
Minkowski Spaces ◽  
Distance Formula

We question the notion of line element in some quantum spaces that are expected to play a role in quantum gravity, namely noncommutative deformations of Minkowski spaces. We recall how the implementation of the Leibniz rule forbids to see some of the infinitesimal deformed Poincaré transformations as good candidates for Noether symmetries. Then we recall the more fundamental view on the line element proposed in noncommutative geometry, and re-interprete at this light some previous results on Connes' distance formula.

Dirac quasi-normal frequencies in a noncommutative black hole space–time

2019 ◽  
Vol 97 (5) ◽  
pp. 562-565
Author(s):  
Cuibai Luo ◽  
Chen Wu
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Noncommutative Geometry ◽  
Imaginary Part ◽  
Normal Modes ◽  
Space Time ◽  
Numerical Results ◽  
Schwarzschild Black Hole ◽  
Oscillation Frequencies ◽  
Noncommutative Parameter

Noncommutative geometry may be an alternative way to quantum gravity. We study the influence of the space–time noncommutative parameter on the Dirac quasi-normal modes in the noncommutative Schwarzschild black hole space–times. In comparison to the commutative Schwarzschild black hole, the numerical results show that the oscillation frequencies and magnitude of the imaginary part of the Dirac quasi-normal modes will increase. However, it is found that the influence of the space–time noncommutative parameter on the Dirac quasi-normal modes is tiny and negligible.

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