## ＜紀要論文＞A Size Expansion Analysis using a Toy Model based on the Equivalence between Bondi K–Factor and Exponential Function

作成者 作成者名 所属機関 所属機関名 Laboratory of Regulation in Metabolism and Behavior, Division of Animal and Marine Bioresource Sciences, Department of Bioresource Sciences, Faculty of Agriculture, Kyushu University : Associate Professor 九州大学大学院農学研究院資源生物科学部門動物・海洋生物資源学講座代謝・行動制御学研究分野 : 准教授 英語 Faculty of Agriculture, Kyushu University 九州大学大学院農学研究院 2015-02-27 60 1 93 96 Version of Record open access https://doi.org/10.5109/1526294 http://www.agr.kyushu-u.ac.jp/ This study was conducted to apply Bondi K–factor to the expansion analysis of the toy space model under the change in v (velocity) from –c to c (speed of light in vacuum). Mathematical hypotheses (A) ...~ (E) were suggested. (A) Bondi K–factor and its reciprocal were regarded as the toy space model in relative size and the toy energy density model in relative size, respectively. (B) If v = –c, then the size of the toy space model was 0 and the density of the toy energy model was ∞, a singular point that was under the control of the invariant. (C) The tiny toy space model was born from 0 or from the wave phenomenon, under something like a renormalization of infinities resolving the problem of the singular point. (D) The newborn tiny toy space model showed an early rapid expansion under the decelerated expansion that continued until the inflection point [v = –c/2, redshift = 0.732, the time of the middle between the birth (v = –c) and the present (v = 0) under a hypothetical condition], and then turned into the accelerated expansion. (E) If v = c, then the size of the toy space model was ∞ and the density of the toy energy model was 0, a singular point under the control of the invariant. The fate of the toy space model, an explosion or an everlasting expansion, would depend on the rate at which v would change with time. This study suggested a mathematical hypothesis that Bondi K–factor and its reciprocal gave a toy space model showing a relativistic expansion under the change in v from –c to c.続きを見る

### 本文ファイル

p093 pdf 481 KB 326

### 詳細

PISSN 0023-6152 AA00697606 1526294 査読無 accelerated expansion decelerated expansion early rapid expansion inflection point singular point 0023-6152 2015.10.13 2021.02.05