A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector

After an investigation of the well-known basic properties of muons conducted by the standard model (SM), this paper presents the results obtained for the phase space reconstruction, for the correlation dimension and for the largest Lyapunov exponent of a muon time series detected for a period of abo...

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Main Authors: Elio Conte, Nicoletta Sala, Marco Arcani
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/3/659
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author Elio Conte
Nicoletta Sala
Marco Arcani
author_facet Elio Conte
Nicoletta Sala
Marco Arcani
author_sort Elio Conte
collection DOAJ
description After an investigation of the well-known basic properties of muons conducted by the standard model (SM), this paper presents the results obtained for the phase space reconstruction, for the correlation dimension and for the largest Lyapunov exponent of a muon time series detected for a period of about three years (2019–2021) in an Italian laboratory at the sea level. These results confirm that the dynamics of such a time series is chaotic in nature, and therefore open new perspectives in the study of cosmic rays. In the following studies, we will explore if such muon time series have a mono- or a multifractal regime with a complete analysis of all the parameters that usually involve such studies.
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spelling doaj.art-071fcaf84f5c4be6af527027ae9dac9f2023-11-17T14:09:06ZengMDPI AGSymmetry2073-89942023-03-0115365910.3390/sym15030659A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT DetectorElio Conte0Nicoletta Sala1Marco Arcani2Laboratory of Nuclear Physics, School of Advanced International Studies on Applied Theoretical and Non Linear Methodologies of Physics, 70121 Bari, ItalyLaboratory of Nuclear Physics, School of Advanced International Studies on Applied Theoretical and Non Linear Methodologies of Physics, 70121 Bari, ItalyAstroparticle Detectors Array Laboratory, GAT Astronomical Center, 21040 Tradate, ItalyAfter an investigation of the well-known basic properties of muons conducted by the standard model (SM), this paper presents the results obtained for the phase space reconstruction, for the correlation dimension and for the largest Lyapunov exponent of a muon time series detected for a period of about three years (2019–2021) in an Italian laboratory at the sea level. These results confirm that the dynamics of such a time series is chaotic in nature, and therefore open new perspectives in the study of cosmic rays. In the following studies, we will explore if such muon time series have a mono- or a multifractal regime with a complete analysis of all the parameters that usually involve such studies.https://www.mdpi.com/2073-8994/15/3/659cosmic rayschaos theorymuon physics
spellingShingle Elio Conte
Nicoletta Sala
Marco Arcani
A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
Symmetry
cosmic rays
chaos theory
muon physics
title A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
title_full A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
title_fullStr A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
title_full_unstemmed A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
title_short A Brief Introductory Note on the Possible Chaotic Dynamics of the Muon Time Series of Cosmic Rays Measured at Sea Level by a Simple GMT Detector
title_sort brief introductory note on the possible chaotic dynamics of the muon time series of cosmic rays measured at sea level by a simple gmt detector
topic cosmic rays
chaos theory
muon physics
url https://www.mdpi.com/2073-8994/15/3/659
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