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Article
The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space
World SCI-TECH R&D (2008)
  • Yang Xiaojun
  • Liu Guannan, Kang Zongxin, Gao Yanan, Xu Xiaoli, Liu Guannan, Kang Zongxin, Gao Yanan, Xu Xiaoli
Abstract

The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space are proved by using parameter-space and scale-space transforms in renormalization groups.From the space-transform angle,the transform of mechanical law from fractal space to European space is the scale-invariant transform while the transform of mechanical law from European space to fractal space is the adaptability transform.Their deductions are that law of conservation of energy and vectorial resultant of force and displacement in fractal space hold the line in form and Carpinteri's dimensional formula of fractal space is also proved. Namely,the spilling dimension of volume in fractal space equals to the sum of the spilling dimension of transversal and section.

Keywords
  • fraetal space;adaptability;scale·invariant;renorm alization groups;mechanical law
Publication Date
2008
Publisher Statement
This paper is coprighted by the publisher
Citation Information
X. Yang, G. Liu, Z. Kang,etc. "The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space" World SCI-TECH R&D 30.6 (2008): 800-802.