138 citations · 275 across the 8 of their papers we have counts for
8 papers
Quantum Space-time and Classical Gravity
J. Madore, J. Mourad
A method has been recently proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example a version of quantized s…
Noncommutative Kaluza-Klein Theory
J. Madore, J. Mourad
Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism…
Deformations of Differential Calculi
J. Madore, J. Mourad, A. Sitarz
It has been suggested that quantum fluctuations of the gravitational field could give rise in the lowest approximation to an effective noncommutative version of Kaluza-Klein theory…
On The non-commutative Riemannian geometry of GL_q(n)
Y. Georgelin, J. Madore, T. Masson +1
A recently proposed definition of a linear connection in non-commutative geometry, based on a generalized permutation, is used to construct linear connections on GL_q(n). Restricti…
ON THE ORIGIN OF KALUZA-KLEIN STRUCTURE
J. Madore, J. Mourad
It is suggested that quantum fluctuations of the light cone are at the origin of what appears at low energy to be a higher-dimensional structure over space-time. A model is present…
LINEAR CONNECTIONS ON EXTENDED SPACE-TIME
A. Kehagias, J. Madore, J. Mourad +1
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-tri…