UNLOCKING THE PLANTS’ DISTRIBUTION IN A FRACTAL SPACE

Ji-Huan He, Qian Yang, Chun-Hui He and Abdulrahman Ali Alsolami
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Ji-Huan He: National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, Suzhou, P. R. China†School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China‡School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China
Qian Yang: ��School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China
Chun-Hui He: �School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, P. R. China¶Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Abdulrahman Ali Alsolami: �Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-14

Abstract: All known planets orbit the Sun so harmoniously that the entire Universe is believed to behave in a rhythmical and fractal way. Titius–Bode law is the main theoretical tool for planetary orbit description. Here we show that planetary sequence follows the Fibonacci-like prime sequence, and we introduce two gravitational spirals to predict orbits for solar members orbiting the Sun. Furthermore, we predict two hypothetical planets as far as 1500 AU and 2300 AU from the Sun, respectively, in our solar system, and some unknown planets in extrasolar planetary systems. Our planetary sequence demonstrates the possible frontier of our solar system, and the theory is also valid for other star systems and planetary systems, giving a simple way to finding the most possible adjacent unknown planets or moons near a known one. We anticipate our sequence can be more sophisticatedly used to search for unknown Universes and to depict the cosmos fully and exclusively, and we conclude that our whole Universe is of fractal property and all celestial bodies are distributed according to Fibonacci sequence.

Keywords: Prime Distribution; Spiral Galaxy; Gravitational Spirals; Golden Mean; Dark Energy; Riemann Conjecture; Xiao-Jun Yang Conjecture; Gravitational Constant; Gravity Wave; Asteroid Belt; Planet Nine; Uranian System; HD10180 System (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501025

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