Discrete gravity

Abstract 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 per elementary volume. In such discrete sp...

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Autores principales:	Ali H. Chamseddine, Viatcheslav Mukhanov
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Gauge Symmetry Lattice Models of Gravity Discrete Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/5b6b35aa8ef446daa36ea8f76ed9cb6e
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spelling	oai:doaj.org-article:5b6b35aa8ef446daa36ea8f76ed9cb6e2021-11-08T11:16:31ZDiscrete gravity10.1007/JHEP11(2021)0131029-8479https://doaj.org/article/5b6b35aa8ef446daa36ea8f76ed9cb6e2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)013https://doaj.org/toc/1029-8479Abstract 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 per elementary volume. In such discrete spaces, each elementary cell is completely characterized by displacement operators connecting a cell to the neighboring cells and by the spin connection. We define the torsion and curvature of the discrete spaces and show that in the limiting case of vanishing elementary volume the standard results for the continuous curved differentiable manifolds are completely reproduced.Ali H. ChamseddineViatcheslav MukhanovSpringerOpenarticleGauge SymmetryLattice Models of GravityDiscrete SymmetriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Gauge Symmetry Lattice Models of Gravity Discrete Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Gauge Symmetry Lattice Models of Gravity Discrete Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Ali H. Chamseddine Viatcheslav Mukhanov Discrete gravity
description	Abstract 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 per elementary volume. In such discrete spaces, each elementary cell is completely characterized by displacement operators connecting a cell to the neighboring cells and by the spin connection. We define the torsion and curvature of the discrete spaces and show that in the limiting case of vanishing elementary volume the standard results for the continuous curved differentiable manifolds are completely reproduced.
format	article
author	Ali H. Chamseddine Viatcheslav Mukhanov
author_facet	Ali H. Chamseddine Viatcheslav Mukhanov
author_sort	Ali H. Chamseddine
title	Discrete gravity
title_short	Discrete gravity
title_full	Discrete gravity
title_fullStr	Discrete gravity
title_full_unstemmed	Discrete gravity
title_sort	discrete gravity
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/5b6b35aa8ef446daa36ea8f76ed9cb6e
work_keys_str_mv	AT alihchamseddine discretegravity AT viatcheslavmukhanov discretegravity
_version_	1718442239984664576

Discrete gravity

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