Results 61 to 70 of about 32,076 (212)

The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions

open access: yesNuclear Physics B, 2022
The accretion around the black hole plays a pivotal role in the theoretical analysis of black hole shadow, and of the black hole observation in particular.
Xiao-Xiong Zeng, Guo-Ping Li, Ke-Jian He
doaj   +1 more source

Noncommutative Geometry and Arithmetic [PDF]

open access: yes, 2010
This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
core   +1 more source

Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity

open access: yes, 2015
Noncommutative geometry, in its many incarnations, appears at the crossroad of various researches in theoretical and mathematical physics: from models of quantum space-time (with or without breaking of Lorentz symmetry) to loop gravity and string theory,
Martinetti, Pierre
core   +1 more source

The Dual Gromov-Hausdorff Propinquity [PDF]

open access: yes, 2014
Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen   +45 more
core   +3 more sources

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali   +2 more
wiley   +1 more source

Matrix model and Yukawa couplings on the noncommutative torus

open access: yesJournal of High Energy Physics, 2019
The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus, which is consistent with the IKKT model, based on noncommutative geometry.
Masaki Honda
doaj   +1 more source

A walk in the noncommutative garden [PDF]

open access: yes, 2006
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry, based on a discussion of significant examples of noncommutative spaces in
Connes, Alain, Marcolli, Matilde
core   +1 more source

Noncommutative coarse geometry [PDF]

open access: yesJournal 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.
Banerjee, Tathagata, Meyer, Ralf
openaire   +3 more sources

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

open access: yesJournal 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
wiley   +1 more source

Gravitational probe of ꝗuantum spacetime

open access: yesPhysics Letters B
A quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on a Drinfeld ...
Nikola Herceg   +4 more
doaj   +1 more source

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