Results 21 to 30 of about 32,076 (212)

Nonlinear connections and spinor geometry

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces ...
Sergiu I. Vacaru, Nadejda A. Vicol
doaj   +1 more source

Quantum Spacetime, Noncommutative Geometry and Observers

open access: yesUniverse, 2021
I discuss some issues related to the noncommutative spaces κ and its angular variant ρ-Minkowski with particular emphasis on the role of observers.
Fedele Lizzi
doaj   +1 more source

Geometry of Quantum Projective Spaces [PDF]

open access: yes, 2012
In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex noncommutative spaces.
D'Andrea, Francesco, Landi, Giovanni
core   +1 more source

Noncommutative Schwarzschild geometry and generalized uncertainty principle

open access: yesEuropean Physical Journal C: Particles and Fields, 2019
We discuss a possible link between the deformation parameter $$\Theta ^{\mu \nu }$$ Θμν arising in the framework of noncommutative geometry and the parameter $$\beta $$ β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking
T. Kanazawa   +3 more
doaj   +1 more source

Spectral Triples in Particle Physics

open access: yesEPJ Web of Conferences, 2018
We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known
Bochniak Arkadiusz
doaj   +1 more source

Noncommutative gauge theories on D-branes in non-geometric backgrounds

open access: yesJournal of High Energy Physics, 2019
We investigate the noncommutative gauge theories arising on the worldvolumes of D-branes in non-geometric backgrounds obtained by T-duality from twisted tori.
Chris Hull, Richard J. Szabo
doaj   +1 more source

Top Quark Pair-Production in Noncommutative Standard Model

open access: yesAdvances in High Energy Physics, 2020
The differential cross-section of the top quark pair production via the quark-antiquark annihilation subprocess in hadron collision is calculated within the noncommutative standard model. A pure NC analytical expression for the forward-backward asymmetry
M. Fisli, N. Mebarki
doaj   +1 more source

Internal Space for the Noncommutative Geometry Standard Model and Strings [PDF]

open access: yes, 2006
In this paper I discuss connections between the noncommutative geometry approach to the standard model on one side, and the internal space coming from strings on the other.
Berline N.   +7 more
core   +5 more sources

Zitterbewegung in noncommutative geometry [PDF]

open access: yesInternational Journal of Modern Physics A, 2019
We have considered the effects of space and momentum noncommutativity separately on the zitterbewegung (ZBW) phenomenon. In the space noncommutativity scenario, it has been expressed that, due to the conservation of momentum, the Fourier decomposition of the expectation value of position does not change.
Zahiri Abyaneh, Mehran   +1 more
openaire   +2 more sources

LINEAR CONNECTIONS ON EXTENDED SPACE-TIME [PDF]

open access: yes, 1995
A modification of Kaluza-Klein theory is proposed which is general enough to admit an arbitrary finite noncommutative internal geometry. It is shown that the existence of a non-trival extension to the total geometry of a linear connection on space-time ...
A. Kehagias   +4 more
core   +2 more sources

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