Zobrazeno 1 - 10
of 244
pro vyhledávání: '"Chamseddine, Ali H."'
Autor:
Chamseddine, Ali H., Khaldieh, Mariam
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) invariance which is taken as the fundamental symmetry. Inspired by latti
Externí odkaz:
http://arxiv.org/abs/2409.07536
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 network geometry. We begin by linking each point of the surface in qu
Externí odkaz:
http://arxiv.org/abs/2409.04375
We study the metric corresponding to a three-dimensional coset space $SO(4)/SO(3)$ in the lattice setting. With the use of three integers $n_1, n_2$, and $n_3$, and a length scale, $l_{\mu}$, the continuous metric is transformed into a discrete space
Externí odkaz:
http://arxiv.org/abs/2311.00406
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 using three integers $n_1, n_2$, and $n_3$. The numerical results are comp
Externí odkaz:
http://arxiv.org/abs/2305.00197
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 inflaton potential with a mimetic field. In this case, the problem of fine
Externí odkaz:
http://arxiv.org/abs/2302.03712
Publikováno v:
Eur. Phys. J. Spec. Top. (2023)
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 historically from the Heisenberg relations, we will explain how in ge
Externí odkaz:
http://arxiv.org/abs/2207.10901
Publikováno v:
Eur. Phys. J. C 82, 651 (2022)
We focus on studying, numerically, the scalar curvature tensor in a two-dimensional discrete space. The continuous metric of a two-sphere is transformed into that of a lattice using two possible slicings. In the first, we use two integers, while in t
Externí odkaz:
http://arxiv.org/abs/2205.04707
Autor:
Chamseddine, Ali H., West, Peter
The 1.5 formalism played a key role in the discovery of supergravity and it has been used to prove the invariance of essentially all supergravity theories under local supersymmetry. It emerged from the gauging of the super Poincare group to find supe
Externí odkaz:
http://arxiv.org/abs/2201.06874
We assume that the points in volumes smaller than an elementary volume (which may have a Planck size) are indistinguishable in any physical experiment. This naturally leads to a picture of a discrete space with a finite number of degrees of freedom p
Externí odkaz:
http://arxiv.org/abs/2109.03752
Autor:
Chamseddine, Ali H.
We formulate a supersymmetric version of gravity with mimetic dark matter. The coupling of a constrained chiral multiplet to N=1 supergravity is made locally supersymmetric using the rules of tensor calculus. The chiral multiplet is constrained with
Externí odkaz:
http://arxiv.org/abs/2106.14235