Results 11 to 20 of about 259 (132)
Noncommutative geometry and cosmology [PDF]
Physical Review D, 2004 22 pages, 5 figures, substantial changes in the presentation, results are the same, to appear in Physical Review ...
Barbosa, G. D., Pinto-Neto, N.
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Noncommutative geometry of Zitterbewegung [PDF]
Physical Review D, 2017 Based on the mathematics of noncommutative geometry, we model a 'classical' Dirac fermion propagating in a curved spacetime. We demonstrate that the inherent causal structure of the model encodes the possibility of Zitterbewegung - the 'trembling motion' of the fermion. We recover the well-known frequency of Zitterbewegung as the highest possible speed
Eckstein, Michał +2 more
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On the Noncommutative Geometry of Tilings [PDF]
, 2015 This is a chapter in an incoming book on aperiodic order. We review results about the topology, the dynamics, and the combinatorics of aperiodically ordered tilings obtained with the tools of noncommutative geometry.
Julien, Antoine +2 more
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Noncommutative Geometries and Gravity [PDF]
AIP Conference Proceedings, 2008 We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.
Folkert Müller-Hoissen +3 more
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Noncommutative geometry and gravity [PDF]
Classical and Quantum Gravity, 2006 40pages; v2: references ...
ASCHIERI, Paolo Maria +3 more
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Supersymmetry and noncommutative geometry [PDF]
Journal of Geometry and Physics, 1997 26pp ...
Kalau, W., Walze, M.
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NONCOMMUTATIVE GEOMETRIES: AN OVERVIEW [PDF]
International Journal of Modern Physics A, 2008 I make a very introductory overview of noncommutative geometries, focusing on the DFR model for Minkowski space; in this model the noncommutativity, or “fuzziness”, of spacetime events emerges at semiclassical level putting together the Heisenberg principle with general relativity.
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On curvature in noncommutative geometry [PDF]
Journal of Mathematical Physics, 1996 A general definition of a bimodule connection in noncommutative geometry has been recently proposed. For a given algebra this definition is compared with the ordinary definition of a connection on a left module over the associated enveloping algebra. The corresponding curvatures are also compared.
Dubois-Violette, M. +3 more
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Zitterbewegung in noncommutative geometry [PDF]
International Journal of Modern Physics A, 2019 We have considered the effects of space and momentum noncommutativity separately on the zitterbewegung (ZBW) phenomenon. In the space noncommutativity scenario, it has been expressed that, due to the conservation of momentum, the Fourier decomposition of the expectation value of position does not change.
Zahiri Abyaneh, Mehran +1 more
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On noncommutative geometry of orbifolds [PDF]
Communications in Contemporary Mathematics, 2016 An orbifold is a Morita equivalence class of a proper étale Lie groupoid. A unitary equivalence class of spectral triples over the algebra of smooth invariant functions is associated with any compact spin orbifold. In the case of an effective spin orbifold, we construct a collection of spectral triples over the smooth convolution algebras of the ...
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