### Abstract

This study was conducted to add some explanations to the previous study on the mathematical structure common to animal growth analysis and space expansion analysis. The results obtained were as follows. (A) In the construction of differential equations, the way of combining the Bertalanffy equation with its first and second derivatives in animal growth analysis was the same as the way of combining the Friedmann equations with its first and second derivatives in space expansion analysis. This commonness was related to the feature of differential calculation of exponential function. The animal growth analysis was based on the balance between anabolism and catabolism, and the space expansion analysis was based on the balance between attractive force and repulsive force. Those two phenomena might look like each other. (B) The space expansion was discussed in terms of two different redshifts. There was a duality in the interpretation of space expansion history using cosmic scale factor (cosmological redshift) and toy space model (relativistic Doppler redshift). This might be related to the hypothesis that the flat FLRW space with gravity might look like the Minkowski space without gravity.

Original language | English |
---|---|

Pages (from-to) | 287-291 |

Number of pages | 5 |

Journal | Journal of the Faculty of Agriculture, Kyushu University |

Volume | 61 |

Issue number | 2 |

Publication status | Published - Sep 1 2016 |

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### All Science Journal Classification (ASJC) codes

- Biotechnology
- Agronomy and Crop Science

### Cite this

*Journal of the Faculty of Agriculture, Kyushu University*,

*61*(2), 287-291.

**A supplement to mathematical structure common to animal growth analysis and space expansion analysis.** / Shimojo, Masataka.

Research output: Contribution to journal › Article

*Journal of the Faculty of Agriculture, Kyushu University*, vol. 61, no. 2, pp. 287-291.

}

TY - JOUR

T1 - A supplement to mathematical structure common to animal growth analysis and space expansion analysis

AU - Shimojo, Masataka

PY - 2016/9/1

Y1 - 2016/9/1

N2 - This study was conducted to add some explanations to the previous study on the mathematical structure common to animal growth analysis and space expansion analysis. The results obtained were as follows. (A) In the construction of differential equations, the way of combining the Bertalanffy equation with its first and second derivatives in animal growth analysis was the same as the way of combining the Friedmann equations with its first and second derivatives in space expansion analysis. This commonness was related to the feature of differential calculation of exponential function. The animal growth analysis was based on the balance between anabolism and catabolism, and the space expansion analysis was based on the balance between attractive force and repulsive force. Those two phenomena might look like each other. (B) The space expansion was discussed in terms of two different redshifts. There was a duality in the interpretation of space expansion history using cosmic scale factor (cosmological redshift) and toy space model (relativistic Doppler redshift). This might be related to the hypothesis that the flat FLRW space with gravity might look like the Minkowski space without gravity.

AB - This study was conducted to add some explanations to the previous study on the mathematical structure common to animal growth analysis and space expansion analysis. The results obtained were as follows. (A) In the construction of differential equations, the way of combining the Bertalanffy equation with its first and second derivatives in animal growth analysis was the same as the way of combining the Friedmann equations with its first and second derivatives in space expansion analysis. This commonness was related to the feature of differential calculation of exponential function. The animal growth analysis was based on the balance between anabolism and catabolism, and the space expansion analysis was based on the balance between attractive force and repulsive force. Those two phenomena might look like each other. (B) The space expansion was discussed in terms of two different redshifts. There was a duality in the interpretation of space expansion history using cosmic scale factor (cosmological redshift) and toy space model (relativistic Doppler redshift). This might be related to the hypothesis that the flat FLRW space with gravity might look like the Minkowski space without gravity.

UR - http://www.scopus.com/inward/record.url?scp=84991633801&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991633801&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84991633801

VL - 61

SP - 287

EP - 291

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 2

ER -