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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 compatible with symmetric monoidal structures, and with more general operadic structures ...
David Ayala +2 more
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Self Sustained Traversable Wormholes Induced by Gravity’s Rainbow and Noncommutative Geometry [PDF]
EPJ Web of Conferences, 2013 We compare the effects of Noncommutative Geometry and Gravity’s Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations. Fixing the geometry on a well tested model, we find that the final result shows that the
Garattini Remo
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Affine noncommutative geometry
, 2020 This is an introduction to noncommutative geometry, from an affine viewpoint, that is, by using coordinates. The spaces $\mathbb R^N,\mathbb C^N$ have no free analogues in the operator algebra sense, but the corresponding unit spheres $S^{N-1}_\mathbb R,S^{N-1}_\mathbb C$ do have free analogues $S^{N-1}_{\mathbb R,+},S^{N-1}_{\mathbb C,+}$.
Teodor Banica
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Lectures on Noncommutative Geometry [PDF]
, 2007 112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
Masoud Khalkhali
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Applied Latin Hypercube stochastic method to quantify the uncertainty in groundwater equation model simulations [PDF]
E3S 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
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Groundwater flow equation, overview, derivation, and solution [PDF]
E3S 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
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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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Oberwolfach 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
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One-loop corrections to the spectral action
Journal 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
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Wormhole inspired by non-commutative geometry
Physics 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
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