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Curvature in Noncommutative Geometry [PDF]

open access: yes, 2020
Our understanding of the notion of curvature in a noncommutative setting has progressed substantially in the past ten years. This new episode in noncommutative geometry started when a Gauss-Bonnet theorem was proved by Connes and Tretkoff for a curved ...
A Buium   +32 more
core   +2 more sources

Noncommutative Geometry and Gravity [PDF]

open access: yesClassical 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
core   +4 more sources

Locality, Causality and Noncommutative Geometry [PDF]

open access: yesInternational Journal of Modern Physics A, 2005
We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry.
Aharony O.   +8 more
core   +3 more sources

Applied Latin Hypercube stochastic method to quantify the uncertainty in groundwater equation model simulations [PDF]

open access: yesE3S Web of Conferences, 2021
It is accepted that digital models simplify the physical reality that is the object of the modeling. Hydrodynamic modeling is an approach with high uncertainties in this context.
El Mezouary Lhoussaine   +1 more
doaj   +1 more source

Groundwater flow equation, overview, derivation, and solution [PDF]

open access: yesE3S Web of Conferences, 2021
Darcy’s law is the basic law of flow, and it produces a partial differential equation is similar to the heat transfer equation when coupled with an equation of continuity that explains the conservation of fluid mass during flow through a porous media ...
El Mezouary Lhoussaine   +1 more
doaj   +1 more source

A study of water infiltration basin and clogging using column experiments [PDF]

open access: yesE3S 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
doaj   +1 more source

NONCOMMUTATIVE GEOMETRY [PDF]

open access: yesOberwolfach Reports, 2008
Noncommutative geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. Within mathematics, it is a highly interdisciplinary subject drawing ideas and methods from many areas of mathematics and physics. Natural questions involving noncommuting variables arise in abundance in many parts of mathematics and ...
Alain Connes   +2 more
openaire   +2 more sources

One-loop corrections to the spectral action

open access: yesJournal of High Energy Physics, 2022
We analyze the perturbative quantization of the spectral action in noncommutative geometry and establish its one-loop renormalizability in a generalized sense, while staying within the spectral framework of noncommutative geometry. Our result is based on
Teun D. H. van Nuland   +1 more
doaj   +1 more source

Wormhole inspired by non-commutative geometry

open access: yesPhysics Letters B, 2015
In the present Letter we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV).
Farook Rahaman   +3 more
doaj   +1 more source

NONCOMMUTATIVE GEOMETRIES: AN OVERVIEW [PDF]

open access: yesInternational 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.
openaire   +3 more sources

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