Zobrazeno 1 - 10
of 156
pro vyhledávání: '"John Madore"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 125 (2007)
We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the properties of the high-freque
Externí odkaz:
https://doaj.org/article/c1db344c107d49fb89c5a4bac168e0c7
Autor:
Maja Buric, John Madore
Publikováno v:
General Relativity and Gravitation. 43:3477-3495
A version of noncommutative geometry is proposed which is based on phase-space rather than position space. The momenta encode the information contained in the algebra of forms by a map which is the noncommutative extension of the duality between the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f27646593488b25a15330d943d469b77
https://doi.org/10.1007/s10714-011-1231-5
https://doi.org/10.1007/s10714-011-1231-5
Autor:
Maja Buric, John Madore
Publikováno v:
International Journal of Modern Physics A. 24:2783-2791
We analyze spherically symmetric static configurations of the noncommutative space-time and show that the monopole potential can be consistently included in the algebra of position operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ffb17acf4e5002798ecd39e8a610a7f
https://doi.org/10.1142/s0217751x09046163
https://doi.org/10.1142/s0217751x09046163
Autor:
Maja Buric, John Madore
Publikováno v:
The European Physical Journal C. 58:347-353
In order to find a noncommutative analog of Schwarzschild or Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces generated by four noncommutative coordinates in the frame formalism. We present two solutions which however do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77100395e73474b96497dbf06023c8e7
https://doi.org/10.1140/epjc/s10052-008-0748-6
https://doi.org/10.1140/epjc/s10052-008-0748-6
Publikováno v:
The European Physical Journal C. 55:489-498
Consider the quasi-commutative approximation to a noncommutative geometry. It is shown that there is a natural map from the resulting Poisson structure to the Riemann curvature of a metric. This map is applied to the study of high-frequency gravitati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d2aa19b0675c48eec0e114ad97f35ef
https://doi.org/10.1140/epjc/s10052-008-0602-x
https://doi.org/10.1140/epjc/s10052-008-0602-x
Publikováno v:
Fortschritte der Physik. 56:424-429
Starting from a Yang-Mills-Dirac theory defined in ten dimensions we classify the semi-realistic particle physics models resulting from their Forgacs-Manton dimensional reduction. The higher-dimensional gauge group is chosen to be E8. This choice as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c7902b9672763d84ae8091d1e46eea9
https://doi.org/10.1002/prop.200710515
https://doi.org/10.1002/prop.200710515
Publikováno v:
Fortschritte der Physik. 56:380-388
It is suggested that noncommutative geometry modifies the Einstein field equations through the introduction of a field energy associated to the gradient of the commutator. An expression is found for the new term in the quasi-classical, weak-field, WK
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::073e4277aaea93fe77b2abbdf95509b6
https://doi.org/10.1002/prop.200710509
https://doi.org/10.1002/prop.200710509
Autor:
Maja Buric, John Madore
Publikováno v:
European Physical Journal C
Several versions of fuzzy four-dimensional de Sitter space are constructed using the noncommutative frame formalism. Although all noncommutative spacetimes which are found have commutative de Sitter metric as a classical limit, the algebras and the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aea9c142803c917f114f8dc07ad34926
http://arxiv.org/abs/1508.06058
http://arxiv.org/abs/1508.06058
Publikováno v:
International Journal of Modern Physics A. 17:2095-2111
We present a series of instanton-like solutions to a matrix model which satisfy a self-duality condition and possess an action whose value is, to within a fixed constant factor, an integer l^2. For small values of the dimension n^2 of the matrix alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4ffe5c21ac2586112ad205bcdddedbf
https://doi.org/10.1142/s0217751x02010595
https://doi.org/10.1142/s0217751x02010595
Autor:
Gaetano Fiore, John Madore
Publikováno v:
The European Physical Journal C. 17:359-366
An analysis is made of reality conditions within the context of noncommutative geometry. We show that if a covariant derivative satisfies a given left Leibniz rule then a right Leibniz rule is equivalent to the reality condition. We show also that th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ee64a92eae6d3374b3d6dc83d6bc0c6
https://doi.org/10.1007/s100520000470
https://doi.org/10.1007/s100520000470