Study on the average speed of particles from a particle swarm derived from a stationary particle swarm

Abstract It has been more than 100 years since the advent of special relativity, but the reasons behind the related phenomena are still unknown. This article aims to inspire people to think about such problems. With the help of Mathematica software, I have proven the following problem by means of st...

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Autor principal:	Tao Guo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6aa926340677434e884ccdc6ab786337
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spelling	oai:doaj.org-article:6aa926340677434e884ccdc6ab7863372021-12-02T17:12:18ZStudy on the average speed of particles from a particle swarm derived from a stationary particle swarm10.1038/s41598-021-92402-w2045-2322https://doaj.org/article/6aa926340677434e884ccdc6ab7863372021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-92402-whttps://doaj.org/toc/2045-2322Abstract It has been more than 100 years since the advent of special relativity, but the reasons behind the related phenomena are still unknown. This article aims to inspire people to think about such problems. With the help of Mathematica software, I have proven the following problem by means of statistics: In 3-dimensional Euclidean space, for point particles whose speeds are c and whose directions are uniformly distributed in space (assuming these particles’ reference system is $$\mathcal {R}_{0}$$ R 0 , if their average velocity is 0), when some particles (assuming their reference system is $$\mathcal {R}_{u}$$ R u ), as a particle swarm, move in a certain direction with a group speed u (i.e., the norm of the average velocity) relative to $$\mathcal {R}_{0}$$ R 0 , their (or the sub-particle swarm’s) average speed relative to $$\mathcal {R}_{u}$$ R u is slower than that of particles (or the same scale sub-particle swarm) in $$\mathcal {R}_{0}$$ R 0 relative to $$\mathcal {R}_{0}$$ R 0 . The degree of slowing depends on the speed u of $$\mathcal {R}_{u}$$ R u and accords with the quantitative relationship described by the Lorentz factor $$\frac{c}{\sqrt{c^2-u^2}}$$ c c 2 - u 2 . Base on this conclusion, I have deduced the speed distribution of particles in $$\mathcal {R}_{u}$$ R u when observing from $$\mathcal {R}_{0}$$ R 0 .Tao GuoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-4 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tao Guo Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
description	Abstract It has been more than 100 years since the advent of special relativity, but the reasons behind the related phenomena are still unknown. This article aims to inspire people to think about such problems. With the help of Mathematica software, I have proven the following problem by means of statistics: In 3-dimensional Euclidean space, for point particles whose speeds are c and whose directions are uniformly distributed in space (assuming these particles’ reference system is $$\mathcal {R}_{0}$$ R 0 , if their average velocity is 0), when some particles (assuming their reference system is $$\mathcal {R}_{u}$$ R u ), as a particle swarm, move in a certain direction with a group speed u (i.e., the norm of the average velocity) relative to $$\mathcal {R}_{0}$$ R 0 , their (or the sub-particle swarm’s) average speed relative to $$\mathcal {R}_{u}$$ R u is slower than that of particles (or the same scale sub-particle swarm) in $$\mathcal {R}_{0}$$ R 0 relative to $$\mathcal {R}_{0}$$ R 0 . The degree of slowing depends on the speed u of $$\mathcal {R}_{u}$$ R u and accords with the quantitative relationship described by the Lorentz factor $$\frac{c}{\sqrt{c^2-u^2}}$$ c c 2 - u 2 . Base on this conclusion, I have deduced the speed distribution of particles in $$\mathcal {R}_{u}$$ R u when observing from $$\mathcal {R}_{0}$$ R 0 .
format	article
author	Tao Guo
author_facet	Tao Guo
author_sort	Tao Guo
title	Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
title_short	Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
title_full	Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
title_fullStr	Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
title_full_unstemmed	Study on the average speed of particles from a particle swarm derived from a stationary particle swarm
title_sort	study on the average speed of particles from a particle swarm derived from a stationary particle swarm
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/6aa926340677434e884ccdc6ab786337
work_keys_str_mv	AT taoguo studyontheaveragespeedofparticlesfromaparticleswarmderivedfromastationaryparticleswarm
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Study on the average speed of particles from a particle swarm derived from a stationary particle swarm

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