Results 61 to 70 of about 259 (132)

Noncommutative Geometry and the Standard Model [PDF]

International Journal of Modern Physics A, 2005
Connes' noncommutative approach to the standard model of electromagnetic, weak and strong forces is sketched as well as its unification with general relativity.
openaire   +4 more sources

Gravitational probe of ꝗuantum spacetime

Physics 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, Tajron Jurić, Andjelo Samsarov, Ivica Smolić, Kumar S. Gupta   +4 more
doaj   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

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

Journal 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, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source

Stratified Noncommutative Geometry

Memoirs of the American Mathematical Society
We introduce a theory of stratifications of noncommutative stacks (i.e., presentable stable ∞ \infty
Ayala, David, Mazel-Gee, Aaron, Rozenblyum, Nick   +2 more
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Noncommutative localization in noncommutative geometry [PDF]

, 2006
93 pages; (including index: use makeindex); introductory survey, but with few smaller new ...
openaire   +3 more sources

Darboux transformation and quasideterminant solutions of a noncommutative semi-discrete coupled dispersionless integrable system

Scientific Reports
We present a noncommutative generalization of the semi-discrete coupled dispersionless integrable system. The motivation stems from the role of noncommutative geometry in string theory and D-brane dynamics, and the need to understand soliton dynamics in ...
H. W. A. Riaz, Yakup Yildirim, Tariq Aljaaidi   +2 more
doaj   +1 more source

Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry

Advances in High Energy Physics, 2014
We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism ...
Aref Yazdani
doaj   +1 more source

Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır, İskender Öztürk, Smritijit Sen   +2 more
wiley   +1 more source

Noncommutative Projective Geometry

, 2001
This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of small dimension.
openaire   +2 more sources