703 citations · 6.4k across the 120 of their papers we have counts for
120 papers
Mimetic Dark Matter from Inflation
Ali H. Chamseddine, Viatcheslav Mukhanov
We investigate the coupling of mimetic dark matter to the Gauss-Bonnet topological term in addition to the Einstein-Hilbert action. We demonstrate that such interactions can natura…
Hearing the Shape of the Universe: A Personal Journey in Noncommutative Geometry
Ali H. Chamseddine
This article surveys the noncommutative-geometric (NCG) approach to fundamental physics, in which geometry is encoded spectrally by a generalized Dirac operator and where dynamics…
On the Dark-Energy Enigma
Ali H. Chamseddine, Jürg Fröhlich
We present a model that offers an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric o…
Curvature of an Arbitrary Surface for Discrete Gravity and for Pure Simplicial Complexes
Ali H. Chamseddine, Ola Malaeb, Sara Najem
We propose a computation of curvature of arbitrary two-dimensional surfaces of three-dimensional objects, which is a contribution to discrete gravity with potential applications 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…