Results 61 to 70 of about 1,110,578 (250)
Noncommutative geometry inspired rotating black string [PDF]
International Journal of Modern Physics D, 2017 Noncommutativity is an idea dating back to that early times of quantum mechanics and the string theory induced noncommutative (NC) geometry provided an effective framework to study the short distance spacetime dynamics.
D. Singh, M. Ali, Sushant G. Ghosh
semanticscholar +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Jean-Christophe Wallet
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Noncommutative Geometry and MOND
Journal of High Energy Physics, Gravitation and Cosmology, 2022 Modified Newtonian dynamics (MOND) is a hypothesized modification of Newton's law of universal gravitation to account for the flat rotation curves in the outer regions of galaxies, thereby eliminating the need for dark matter. Although a highly successful model, it is not a self-contained physical theory since it is based entirely on observations.
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Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15035-15048, 15 November 2025.ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley +1 more source
Clifford structures in noncommutative geometry and the extended scalar sector [PDF]
, 2017 We consider aspects of the noncommutative approach to the standard model based on the spectral action principle. We show that as a consequence of the incorporation of the Clifford structures in the formalism, the spectral action contains an extended ...
M. Kurkov, F. Lizzi
semanticscholar +1 more source
LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY [PDF]
International Journal of Modern Physics A, 2006 We analyze 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. We also check that the usual form of energy condition is violated and propose that a new form is needed in ...
Chu, Chong-Sun, Furuta, Ko, Inami, Takeo
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A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15349-15363, 15 November 2025.ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
wiley +1 more source
Dirac Operators on Noncommutative Curved Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy ...
Alexander Schenkel +1 more
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Massive Neutron Stars and White Dwarfs as Noncommutative Fuzzy Spheres
Universe, 2022 Over the last couple of decades, there have been direct and indirect evidences for massive compact objects than their conventional counterparts. A couple of such examples are super-Chandrasekhar white dwarfs and massive neutron stars. The observations of
Surajit Kalita, Banibrata Mukhopadhyay
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