Results 61 to 70 of about 1,108,506 (294)
Noncommutative Geometries and Gravity [PDF]
AIP Conference Proceedings, 2008 We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.
Folkert Müller-Hoissen +3 more
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Charged thin-shell gravastars in noncommutative geometry [PDF]
, 2017 In this paper we construct a charged thin-shell gravastar model within the context of noncommutative geometry. To do so, we choose the interior of the nonsingular de Sitter spacetime with an exterior charged noncommutative solution by cut-and-paste ...
A. Övgün, A. Banerjee, K. Jusufi
semanticscholar +1 more source
External Fields as Intrinsic Geometry [PDF]
, 2000 There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time.
Madore, John +3 more
core +2 more sources
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
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An analytic $LT$-equivariant index and noncommutative geometry [PDF]
Journal of Noncommutative Geometry, 2017 Let $T$ be a circle and $LT$ be its loop group. Let $\mathcal{M}$ be an infinite dimensional manifold equipped with a nice $LT$-action. We construct an analytic $LT$-equivariant index for $\mathcal{M}$, and justify it in terms of noncommutative geometry.
Doman Takata
semanticscholar +1 more source
Noncommutative geometry inspired Einstein–Gauss–Bonnet black holes [PDF]
, 2017 Low energy limits of a string theory suggests that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss–Bonnet densities.
Sushant G. Ghosh
semanticscholar +1 more source
Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics [PDF]
Journal of Mathematics and Physics, 2016 An analogy with real Clifford algebras on even-dimensional vector spaces suggests to assign a couple of space and time dimensions modulo 8 to any algebra (represented over a complex Hilbert space) containing two self-adjoint involutions and an anti ...
Nadir Bizi, C. Brouder, F. Besnard
semanticscholar +1 more source
Lie Groupoids and Lie algebroids in physics and noncommutative geometry [PDF]
, 2005 The aim of this review paper is to explain the relevance of Lie groupoids and Lie algebroids to both physicists and noncommutative geometers. Groupoids generalize groups, spaces, group actions, and equivalence relations.
Atiyah +71 more
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On noncommutative geometry of orbifolds [PDF]
Communications in Contemporary Mathematics, 2016 An orbifold is a Morita equivalence class of a proper étale Lie groupoid. A unitary equivalence class of spectral triples over the algebra of smooth invariant functions is associated with any compact spin orbifold. In the case of an effective spin orbifold, we construct a collection of spectral triples over the smooth convolution algebras of the ...
openaire +3 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