Results 31 to 40 of about 601 (176)

A commutative noncommutative fractal geometry

open access: yes, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

D-branes, RR-fields and duality on noncommutative manifolds

open access: yes, 2008
We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges.
Szabo, Richard J.; id_orcid   +14 more
core   +1 more source

On the Meaning of Localization in Non‐Local Quantum Field Theory

open access: yesAnnalen 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

Developments in noncommutative differential geometry [PDF]

open access: yes, 2002
One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
core  

Isospectral deformations of Eguchi-Hanson spaces a case study in noncompact noncommutative geometry [PDF]

open access: yes, 2008
We study the isospectral deformations of the Eguchi-Hanson spaces along a torus isometric action in the noncompact noncommutative geometry. We concentrate on locality, smoothness and summability conditions of the nonunital spectral triples, and relate ...
Yang, Chen
core  

The singularity category and duality for complete intersection groups

open access: yesBulletin 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

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Cosmological constant from quantum spacetime

open access: yes, 2015
http://dx.doi.org/10.1103/PhysRevD.91.124028© 2015, Physical Review
Majid, S, Tao, W-Q
core   +1 more source

Quantum Frustration as a Protection Mechanism in Non‐Topological Majorana Qubits

open access: yesAnnalen der Physik, Volume 538, Issue 4, April 2026.
Quantum frustration is proposed as a robust protection mechanism for non‐topological ‐junction qubit. By leveraging distinct spatial profiles, co‐located Majorana modes couple to independent environments, creating incompatible pointer bases that suppress decoherence.
E. Novais
wiley   +1 more source

Differentials of Higher Order in Noncommutative Differential Geometry

open access: yesLetters in Mathematical Physics, 1997
In differential geometry, the notation d^n f along with the corresponding formalism has fallen into disuse since the birth of exterior calculus. However, differentials of higher order are useful objects that can be interpreted in terms of functions on iterated tangent bundles (or in terms of jets).
openaire   +3 more sources

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