Results 41 to 50 of about 391 (182)
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.
openaire +2 more sources
LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY [PDF]
International Journal of Modern Physics A, 2006 We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in ...
Chu, Chong-Sun, Furuta, Ko, Inami, Takeo
openaire +2 more sources
Time discretization from noncommutativity
Physics Letters B, 2021 We show that a particular noncommutative geometry, sometimes called angular or ρ-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in cylindrical ...
Fedele Lizzi, Patrizia Vitale
doaj +1 more source
Oberwolfach Reports, 2008 Noncommutative geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. Within mathematics, it is a highly interdisciplinary subject drawing ideas and methods from many areas of mathematics and physics. Natural questions involving noncommuting variables arise in abundance in many parts of mathematics and ...
Alain Connes +2 more
openaire +2 more sources
Type-II two-Higgs-doublet model in noncommutative geometry
Nuclear Physics B, 2022 In noncommutative geometry (NCG) the spectral action principle predicts the standard model (SM) particle masses by constraining the scalar and Yukawa couplings at some heavy scale, but gives an inconsistent value for the Higgs mass.
Fredy Jimenez +2 more
doaj +1 more source
LECTURES ON NONCOMMUTATIVE GEOMETRY [PDF]
, 2008 112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
openaire +2 more sources
On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
NONCOMMUTATIVE GEOMETRY, STRINGS AND DUALITY [PDF]
International Journal of Modern Physics B, 2000 In this talk, based on work done in collaboration with G. Landi and R. J. Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is introduced, and some of the string symmetries, notably target space duality, are discussed in this framework.
openaire +4 more sources
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Jean-Christophe Wallet
doaj +1 more source