Results 51 to 60 of about 32,076 (212)

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, Franco, Nicolas; id_orcid 0000-0003-1688-8342, Miller, Tomasz   +2 more
openaire   +4 more sources

Negativity‐preserving transforms of tuples of symmetric matrices

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent advances in matrix analysis with some novel arguments relying on well‐chosen test matrices, Sidon ...
Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar   +3 more
wiley   +1 more source

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, Tajron Jurić, Andjelo Samsarov, Ivica Smolić   +3 more
doaj   +1 more source

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
doaj   +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

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Field Theory on Curved Noncommutative Spacetimes

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (
Alexander Schenkel, Christoph F. Uhlemann   +1 more
doaj   +1 more source

Some special types of determinants in graded skew P BW extensions.

Revista Integración, 2021
In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez, Duban Cáceres, Armando Reyes   +2 more
doaj  

Spectral noncommutative geometry and quantization: a simple example [PDF]

, 1999
We explore the relation between noncommutative geometry, in the spectral triple formulation, and quantum mechanics. To this aim, we consider a dynamical theory of a noncommutative geometry defined by a spectral triple, and study its quantization.
A. Connes, A. Connes, A. Connes, A. H. Chamseddine, A. H. Chamseddine, B. Iochum, C. Rovelli, Carlo Rovelli, D. Kastler, D. Kastler, D. Kastler, D. Kastler, G. Landi, G. Landi, H. Grosse, H. Grosse, H. Grosse, H. Grosse, J. Lukierski, J. Madore, S. Doplicher, S. Doplicher, S. Doplicher, S. Majid, S. Majid, S. Majid, T. Brzezinski, T. Filk, W. Kalau   +28 more
core   +2 more sources

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