Results 1 to 10 of about 1,110,578 (250)
Missing the point in noncommutative geometry. [PDF]
Synthese, 2021 Noncommutative geometries generalize standard smooth geometries, parametrizing the noncommutativity of dimensions with a fundamental quantity with the dimensions of area.
Huggett N, Lizzi F, Menon T.
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Noncommutative geometry of Zitterbewegung [PDF]
Physical Review D, 2017 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 +2 more
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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
David Ayala +2 more
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Noncommutative Schwarzschild geometry and generalized uncertainty principle
European Physical Journal C: Particles and Fields, 2019 We discuss a possible link between the deformation parameter $$\Theta ^{\mu \nu }$$ Θμν arising in the framework of noncommutative geometry and the parameter $$\beta $$ β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking
T. Kanazawa +3 more
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Noncommutative geometry inspired black holes in Rastall gravity [PDF]
European Physical Journal C: Particles and Fields, 2017 Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density.
Meng-Sen Ma, Ren Zhao
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B-decay anomalies and scalar leptoquarks in unified Pati-Salam models from noncommutative geometry [PDF]
Journal of High Energy Physics, 2018 Motivated by possible scalar-leptoquark explanations of the recently reported B-decay anomalies, we investigate whether the required leptoquarks can be accommodated within models based on noncommutative geometry (NCG).
Ufuk Aydemir +3 more
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Curvature in noncommutative geometry [PDF]
Advances in Noncommutative Geometry, 2019 Our understanding of the notion of curvature in a noncommutative setting has progressed substantially in the past 10 years. This new episode in noncommutative geometry started when a Gauss-Bonnet theorem was proved by Connes and Tretkoff for a curved ...
Farzad Fathizadeh, M. Khalkhali
semanticscholar +3 more sources
Noncommutative coarse geometry [PDF]
Journal of Noncommutative Geometry, 2019 We use compactifications of C*-algebras to introduce noncommutative coarse geometry. We transfer a noncommutative coarse structure on a C*-algebra with an action of a locally compact Abelian group by translations to Rieffel deformations and prove that the resulting noncommutative coarse spaces are coarsely equivalent.
Tathagata Banerjee, Ralf Meyer
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The Geometry of Noncommutative Space-Time [PDF]
, 2016 Stabilization, by deformation, of the Poincaré-Heisenberg algebra requires both the introduction of a fundamental lentgh and the noncommutativity of translations which is associated to the gravitational field.
R. Vilela Mendes
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