Results 41 to 50 of about 1,108,506 (294)
Noncommutative geometry and cosmology [PDF]
22 pages, 5 figures, substantial changes in the presentation, results are the same, to appear in Physical Review ...
G. D. Barbosa, N. Pinto-Neto
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Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets.
Andrew Lesniewski
semanticscholar +1 more source
Noncommutative Symmetries and Gravity [PDF]
Spacetime geometry is twisted (deformed) into noncommutative spacetime geometry, where functions and tensors are now star-multiplied. Consistently, spacetime diffeomorhisms are twisted into noncommutative diffeomorphisms.
Abe E+20 more
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Zitterbewegung in noncommutative geometry [PDF]
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.
Mehran Zahiri Abyaneh, Mehrdad Farhoudi
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Spectral Noncommutative Geometry Standard Model and all that [PDF]
We review the approach to the Standard Model of particle interactions based on spectral noncommutative geometry. The paper is (nearly) self-contained and presents both the mathematical and phenomenological aspects.
A. Devastato, M. Kurkov, F. Lizzi
semanticscholar +1 more source
NONCOMMUTATIVE GEOMETRIES: AN OVERVIEW [PDF]
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 the Koszul formula in noncommutative geometry [PDF]
We prove a Koszul formula for the Levi-Civita connection for any pseudo-Riemannian bilinear metric on a class of centered bimodule of noncommutative one-forms. As an application to the Koszul formula, we show that our Levi-Civita connection is a bimodule
Jyotishman Bhowmick+2 more
semanticscholar +1 more source
Particle Physics from Almost Commutative Spacetimes [PDF]
Our aim in this review article is to present the applications of Connes' noncommutative geometry to elementary particle physics. Whereas the existing literature is mostly focused on a mathematical audience, in this article we introduce the ideas and ...
Bleecker D.+17 more
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The paper deals with nonthermal radiation spectrum by tunnelling mechanism with correction due to the generalized uncertainty principle (GUP) in the background of noncommutative geometry.
Sourav Haldar+2 more
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On the Noncommutative Geometry of Tilings [PDF]
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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