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HandWiki. Scale Relativity. Encyclopedia. Available online: https://encyclopedia.pub/entry/29361 (accessed on 22 September 2026).
HandWiki. Scale Relativity. Encyclopedia. Available at: https://encyclopedia.pub/entry/29361. Accessed September 22, 2026.
HandWiki. "Scale Relativity" Encyclopedia, https://encyclopedia.pub/entry/29361 (accessed September 22, 2026).
HandWiki. (2022, October 14). Scale Relativity. In Encyclopedia. https://encyclopedia.pub/entry/29361
HandWiki. "Scale Relativity." Encyclopedia. Web. 14 October, 2022.
Scale Relativity
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The content is sourced from: https://handwiki.org/wiki/Physics:Scale_relativity

Scale relativity is a geometrical and fractal space-time physical theory. Relativity theories (special relativity and general relativity) are based on the notion that position, orientation, movement and acceleration cannot be defined in an absolute way, but only relative to a system of reference. The scale relativity theory proposes to extend the concept of relativity to physical scales (time, length, energy, or momentum scales), by introducing an explicit "state of scale" in coordinate systems. This extension of the relativity principle using fractal geometries to study scale transformations was originally introduced by Laurent Nottale, based on the idea of a fractal space-time theory first introduced by Garnet Ord, and by Nottale and Jean Schneider. The construction of the theory is similar to previous relativity theories, with three different levels: Galilean, special and general. The development of a full general scale relativity is not finished yet.

fractal space-time scale relativity theory fractal

References

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  10. Nottale 2019
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  87. Turner & Nottale 2015.
  88. Nottale 2007.
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  90. Cash et al. 2002.
  91. Auffray & Nottale 2008.
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  93. Nottale 2013b.
  94. Nottale, Martin & Forriez 2012.
  95. Magee & Devezas 2011, p. 1370.
  96. Castro 1997, p. 275.
  97. Nottale 2011, p. 458.
  98. Loll 2008, p. 114006.
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  100. Connes 1994.
  101. Lapidus 2008.
  102. Nottale 2011, p. 459.
  103. Nelson 1966.
  104. Wang & Liang 1993.
  105. Blanchard & Serva 1995.
  106. Nottale 2011, p. 265.
  107. Nottale 2011, p. 360.
  108. Bontems & Gingras 2007.
  109. Karoji & Nottale 1976.
  110. Nottale & Vigier 1977.
  111. Vidal 2010.
  112. Auffray & Noble 2010, p. 303.
  113. Nottale 1998a.
  114. Nottale 2019.
  115. Merker 1999, p. 166.
  116. Baryshev & Teerikorpi 2002, p. 255.
  117. Potter & Jargodzki 2005, p. 113.
  118. Peter 2013.
  119. Nottale 2001.
  120. Beringer et al. 2013, p. 33.
  121. Stenger 2011, p. 100.
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