Results 121 to 130 of about 1,108,506 (294)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti +4 more
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Loop groups and noncommutative geometry [PDF]
Reviews in Mathematical Physics, 2017 We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level [Formula: see text] projective unitary positive-energy representations of any given loop group [Formula: see text].
Carpi, Sebastiano, Hillier, Robin
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The standard model, the Pati–Salam model, and ‘Jordan geometry’
New Journal of Physics, 2020 We argue that the ordinary commutative and associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra ...
Latham Boyle, Shane Farnsworth
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Stability analysis of lower dimensional gravastars in noncommutative geometry [PDF]
, 2016 The Bañados et al. (Phys. Rev. Lett 69:1849, 1992), black hole solution is revamped from the Einstein field equations in (2 + 1)-dimensional anti-de Sitter spacetime, in a context of noncommutative geometry (Phys. Rev. D 87:084014, 2013). In this article,
A. Banerjee, S. Hansraj
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Curvature and Weitzenböck formula for spectral triples
Mathematische Nachrichten, Volume 297, Issue 12, Page 4582-4604, December 2024.Abstract Using the Levi‐Civita connection on the noncommutative differential 1‐forms of a spectral triple (B,H,D)$(\mathcal {B},\mathcal {H},\mathcal {D})$, we define the full Riemann curvature tensor, the Ricci curvature tensor and scalar curvature. We give a definition of Dirac spectral triples and derive a general Weitzenböck formula for them.
Bram Mesland, Adam Rennie
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Harnessing quantum power: Revolutionizing materials design through advanced quantum computation
Materials Genome Engineering Advances, Volume 2, Issue 4, December 2024.The robust framework for advanced materials design via the quantum machine learning is summarized in this review, emphasizing the transformative potential of quantum technologies in revolutionizing materials innovation. Abstract The design of advanced materials for applications in areas of photovoltaics, energy storage, and structural engineering has ...
Zikang Guo +4 more
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Journal of Geophysical Research: Space Physics, Volume 129, Issue 12, December 2024.Abstract In order to study spatial distributions of global magnetosheath structures, physicists often rely upon spatial binning, whereby space is divided into cells, each filled with the average value of all spacecraft measurements within that cell. The traditional binning schema utilizes a fixed Cartesian grid of cube bins.
Jacob Fruchtman +5 more
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Noncommutative geometry and quantization
, 1999 We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a tool linking index theory and renormalization calculations.
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On anomalies and noncommutative geometry [PDF]
, 2007 6 pages, latex, no figures. Proceedings of ``34. Internationale Universit\"atswochen f\"ur Kern- und Teilchenphysik Schladming'', Schladming March 1995, Springer Verlag (to appear)
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On the smooth Whitney fibering conjecture
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We improve upon the first Thom–Mather isotopy theorem for Whitney stratified sets. In particular, for the more general Bekka stratified sets we show that there is a local foliated structure with continuously varying tangent spaces, thus proving the smooth version of the Whitney fibering conjecture.
C. Murolo +2 more
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