Results 51 to 60 of about 33,662 (238)
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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Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
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Noncommutative Generalization of Wilson Lines
, 2014 A classical Wilson line is a cooresponedce between closed paths and elemets of a gauge group. However the noncommutative geometry does not have closed paths.
Ivankov, Petr
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Bosonic Spectral Action Induced from Anomaly Cancelation [PDF]
, 2010 We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action.
Andrianov, A. A., Lizzi, Fedele
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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
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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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Noncommutative geometry of Zitterbewegung [PDF]
Physical Review D, 2017 Based on the 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 'trembling motion' of the fermion. We recover the well-known frequency of Zitterbewegung as the highest possible speed
Eckstein, Michał +2 more
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
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Noncommutativity and the weak cosmic censorship
Journal of High Energy Physics, 2019 We show that a noncommutative massless scalar probe can dress a naked singularity in AdS3 spacetime, consistent with the weak cosmic censorship. The dressing occurs at high energies, which is typical at the Planck scale.
Kumar S. Gupta +3 more
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