Results 101 to 110 of about 1,110,578 (250)

From Monge to Higgs: a survey of distance computations in noncommutative geometry [PDF]

, 2016
This is a review of explicit computations of Connes distance in noncommutative geometry, covering finite dimensional spectral triples, almost-commutative geometries, and spectral triples on the algebra of compact operators.
P. Martinetti
semanticscholar   +1 more source

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

Complexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa, Marcin Mrugalski   +6 more
wiley   +1 more source

Dirac Theory in Noncommutative Phase Spaces

Physics
Based on the position and momentum of noncommutative relations with a noncanonical map, we study the Dirac equation and analyze its parity and time reversal symmetries in a noncommutative phase space.
Shi-Dong Liang
doaj   +1 more source

COMPLEX GRAVITY AND NONCOMMUTATIVE GEOMETRY [PDF]

International Journal of Modern Physics A, 2001
The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry U(1,
openaire   +3 more sources

Quantum Extensions of Widder’s Formula via q‐Deformed Calculus

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this study, we rigorously established q‐Widder’s formula of first and second kind by employing the q‐integral within a quantum calculus framework. Our approach introduces a novel formulation of the inverse q‐Laplace transform, enabling simplified computation without relying on conventional complex integration methods.
S. S. Naina Mohammed, K. Jeevanandham, A. Ramalingam, R. Maheswari, Prasantha Bharathi Dhandapani, Rebecca Muhumuza Nalule, Kaviarasan Boomipalagan   +6 more
wiley   +1 more source

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa, Abdul Rauf Khan   +5 more
wiley   +1 more source

Geneza prawdopodobieństwa

Zagadnienia Filozoficzne w Nauce, 2006
After briefly reviewing classical and quantum aspects of probability, basic concepts of the noncommutative calculus of probability (called also free calculus of probability) and its possible application to model the fundamental level of physics are ...
Michał Heller
doaj  

Self Sustained Traversable Wormholes Induced by Gravity’s Rainbow and Noncommutative Geometry

EPJ Web of Conferences, 2013
We compare the effects of Noncommutative Geometry and Gravity’s Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations. Fixing the geometry on a well tested model, we find that the final result shows that the
Garattini Remo
doaj   +1 more source

The existence of singularities and the origin of space-time

Zagadnienia Filozoficzne w Nauce, 2008
Methods of noncommutative geometry are applied to deal with singular space-times in general relativity. Such space-times are modeled by noncommutative von Neumann algebras of random operators.
Michał Heller
doaj