Results 11 to 20 of about 1,108,506 (294)
The Geometry of Noncommutative Spacetimes [PDF]
Universe, 2017 We review the concept of ‘noncommutative spacetime’ approached from an operational stand-point and explain how to endow it with suitable geometrical structures. The latter involves i.a.
Michał Eckstein
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Noncommutative geometry of Zitterbewegung [PDF]
Physical Review D, 2016 Drawing from the advanced 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 ...
Michał Eckstein, N. Franco, T. Miller
semanticscholar +7 more sources
Stratified Noncommutative Geometry [PDF]
Memoirs of the American Mathematical Society, 2019 We introduce a theory of stratifications of noncommutative stacks (i.e., presentable stable ∞ \infty -categories), and we prove a reconstruction theorem that expresses them in terms of their strata and gluing data. This reconstruction theorem is
David Ayala +2 more
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Noncommutative localization in noncommutative geometry [PDF]
, 2005 The aim of these notes is to collect and motivate the basic localization toolbox for the geometric study of ``spaces'', locally described by noncommutative rings and their categories of one-sided modules.
Skoda, Zoran
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Noncommutative Geometry and Arithmetic [PDF]
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2010 This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
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Noncommutative Geometry and Gravity [PDF]
Classical and Quantum Gravity, 2005 We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product.
Aschieri, Paolo +3 more
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31Lectures on Noncommutative Geometry
Acta Polytechnica, 2008 We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative differential forms we pass to K-theory, K-homology and cyclic (co)homology, and we finish with the notion of spectral triples and the spectral action.
A. Sitarz
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Noncommutative geometry as a regulator [PDF]
Physical Review D, 2000 We give a perturbative quantization of space-time $R^4$ in the case where the commutators $C^{ }=[X^ ,X^ ]$ of the underlying algebra generators are not central . We argue that this kind of quantum space-times can be used as regulators for quantum field theories .
Badis Ydri
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Holographic thermalization in noncommutative geometry
Physics Letters B, 2015 Gravitational collapse of a shell of dust in noncommutative geometry is probed by the renormalized geodesic length, which is dual to probe the thermalization by the two-point correlation function in the dual conformal field theory.
Xiao-Xiong Zeng +2 more
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A study of water infiltration basin and clogging using column experiments [PDF]
E3S Web of Conferences, 2021 The clogging of infiltration basins is the main problem affecting the proper functioning of groundwater artificial recharge systems. In this study, several parameters have been varied to understand their impacts on water infiltration.
El Mrabet Elyasse +2 more
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