707 citations
- Institut des Hautes Études ScientifiquesFR42 papers
- Ludwig-Maximilians-Universität MünchenDE34 papers
- Centre National de la Recherche ScientifiqueFR27 papers
- Collège de FranceFR22 papers
- University of CambridgeGB18 papers
- École Polytechnique Fédérale de LausanneCH15 papers
- University of MichiganUS15 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT14 papers
- Sorbonne UniversitéFR14 papers
- University of MilanIT14 papers
- Vanderbilt UniversityUS14 papers
- University of WaterlooCA13 papers
154 papers · 1 filter
Poincare Invariance in Discrete Gravity
Ali H. Chamseddine, Mariam Khaldieh
A formulation of discrete gravity was recently proposed based on defining a lattice and a shift operator connecting the cells. Spinors on such a space will have rotational SO(d) in…
Black Hole in Discrete Gravity
Ali H. Chamseddine, Ola Malaeb, Sara Najem
We study the metric corresponding to a three-dimensional coset space in the lattice setting. With the use of three integers , and , and a length scale,…
Curvature Tensor in Discrete Gravity
Ali H. Chamseddine, Ola Malaeb, Sara Najem
We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space usin…
Mimetic Inflation and Self-reproduction
Ali H. Chamseddine, Mariam Khaldieh, Viatcheslav Mukhanov
It is shown how self-reproduction can be easily avoided in the inflationary universe, even when inflation starts at Planck scales. This is achieved by a simple coupling of the infl…
Noncommutativity and Physics: A non-technical review
Ali H. Chamseddine, Alain Connes, Walter D. van Suijlekom
We give an overview of the applications of noncommutative geometry to physics. Our focus is entirely on the conceptual ideas, rather than on the underlying technicalities. Starting…
Kasner Metrics and Very Special Geometry
W. A. Sabra
We consider general charged Kasner-like solutions for the theory of five-dimensional supergravity coupled to Abelian vector multiplets in arbitrary space-time signature. These solu…