Richards Function in Animal Growth Analysis and Friedmann Equation in Space Expansion Analysis

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This study was designed to investigate the analytical concept common to animal growth analysis and space expansion analysis. In addition, the space expansion was investigated using the equivalence principle. Three differential equations for animal growth analysis were obtained from Richards function. Three differential equations for space expansion analysis were Friedmann equations and deceleration parameter. The results obtained were as follows. (I) Three differential equations in both analyses were characterized as follows; (a) the square of the relative growth (or expansion) rate, (b) the relative growth (or expansion) acceleration rate, (c) the equation given by (b)/(a). The analytical concept of differential equation was the same between animal growth analysis and space expansion analysis. This commonness might be ascribed to the mathematical characteristics of the differentiation of exponential function, though the analytical complexity was different between animal growth analysis and space expansion analysis. (II) The increase in the cosmic scale factor in the flat FLRW space–time was related to the decrease in the recession velocity of the illuminant in the Minkowski space–time, an accumulation of equivalence principle suggesting a relationship between the cosmic scale factor and the Lorentz factor. The real expansion of the flat FLRW space–time might be interpreted using the Bondi K–factor elongation of the Minkowski space–time that did not contain the gravity.

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詳細情報 詳細情報について

  • CRID
    1390853649614850944
  • NII論文ID
    120006024230
  • NII書誌ID
    AA00247166
  • DOI
    10.5109/1800843
  • HANDLE
    2324/1800843
  • ISSN
    00236152
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • IRDB
    • Crossref
    • CiNii Articles

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