Introducing Viewpoints of Mechanics into Basic Growth Analysis : (VII) Mathematical Properties of Basic Growth Mechanics in Ruminant

Abstract

This study was conducted to investigate mathematical properties of basic growth mechanics in ruminant by introducing newly developed viewpoints into mathematical operations of basic growth function. The negative sign, which appeared naturally by taking the square root of the differential equation based on basic growth mechanics, gave mathematical contradictions to the differential principle. In the process of correcting those contradictions, viewpoints of interest were newly introduced to give a deeper understanding of basic growth mechanics. These new viewpoints mathematically suggested the metabolic turnover of body components influencing increase or decrease of body weight and the dynamic equilibrium hidden behind the constant body weight. Conditional weak analogies between basic growth mechanics and Newton’s three laws of motion were discussed more deeply, where problems with basic growth mechanics were shown. A conditional weak analogy to Newton’s law of universal gravitation was also suggested by assuming a virtual force of attraction between the ruminant and the forage. However, the problem with this virtual force showed that there was not a concept of distance, nor was the effect on the virtual force of attracting even when there was a forced introduction of distance. It was suggested that investigating mathematical properties of basic growth mechanics gave conditional weak analogies to laws of motion developed by Newton.