The Fuzzy Onion: A Proposal

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Authors

KOVÁČIK Samuel TEKEL Juraj

Year of publication 2023
Type Article in Proceedings
Conference Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" PoS(CORFU2022)
MU Faculty or unit

Faculty of Science

Citation
Web https://pos.sissa.it/436/312
Doi http://dx.doi.org/10.22323/1.436.0312
Keywords dimension: 3; sphere: fuzzy; space: fuzzy; geometry; quantum space; scale: Planck; structure; mathematical methods
Description It is generally believed that the space has a nontrivial structure which is apparent on the order of the Planck length. There is a class of models of three-dimensional quantum spaces constructed using different mathematical tools. Also, there is another class of models with matrix descriptions of spaces of various dimensions and geometries with built-in momentum cut-off—these are called fuzzy spaces; the fuzzy sphere is a prominent example. In this paper, we describe how to connect various spheres together to foliate a three-dimensional space dubbed the fuzzy onion.
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