Introducing Viewpoints of Mechanics into Basic Growth Analysis (2) : Relative Growth Rate compared with Energy in Wave Function

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概要

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• The present study was conducted to investigate the relative growth rate (RGR) by introducing, into basic growth analysis, the growth jerk that is the derivative of growth acceleration. Relating weight (W), absolute growth rate (AGR), growth acceleration (GA) and growth jerk (GJ) showed that (GA)^2 was described using the product of AGR and GJ. GA was obtained by extracting the square root of AGR･GJ, taking both positive (＋) and negative (-) values. There was a case where ± sign was given locally to (RGR)^2, namely ±(RGR)^2. However, -RGR^2 was contradictory to the principle of differential. In order to resolve this contradiction there was a requirement of complex numbers, exp((±i RGR)･t) that was a kind of wave function. This resolved the contradiction by (±i RGR)^2＝-RGR^2. Comparing exp((±i RGR)･t) with the wave function for quantum mechanics showed that there was a lack of wave in space for exp((±i RGR)･t). However, there might be a resemblance between RGR in exp((±i RGR)･t) and energy in the wave function for quantum mechanics. In conclusion, RGR might look like the energy related to weight changes when placed in the wave function, though there was a logical leap in this procedure.

• 九州大学の論文

著者

• Shimojo Masataka

  Kyushu Univ. Fukuoka Jpn

• SHIMOJO Masataka

  Faculty of Agriculture, Kyushu University

• Shimojo Masataka

  Faculty Of Agriculture Kyushu University

関連論文

• Introducing Viewpoints of Mechanics into Basic Growth Analysis (1) : Three Aspects of Growth Mechanics compared with Three Law of Motion
• Introducing Complex Numbers into Basic Growth Functions (8) : A Series of Hypotheses for Appearance of exp(θ) from Complex Representation of `0=1+(-1)' under the Concept of Symmetry
• Introducing Complex Numbers into Basic Growth Functions (7) : Differences between '1' and '-1' in their Hypothetic Breakdown into Complex Numbers and Application to Definite Integral of exp(t) Expanded into Infinite Series
• Introducing Complex Numbers into Basic Growth Functions (6) : Hypothetic Breakdown of '1' into Complex Numbers and Application to Definite Integral of exp(t) Expanded into Infinite Series
• Effect of sink on carbohydrate metabolism in stems and roots of the phasey bean (Macroptilium Lathyroides (L.) Urb.) during regrowth
• A Note on Searching Digits of Circular Ratio and Napier's Number for Numerically Expressed Information on Ruminant Agriculture
• Introducing Viewpoints of Mechanics into Basic Growth Analysis (3) : Applying Growth Force and Leaf-Light Complex to Production and Digestion, Analyses of Forages
• Introducing Viewpoints of Mechanics into Basic Growth Analysis (2) : Relative Growth Rate compared with Energy in Wave Function
• ntroducing Viewpoints of Mechanics into Basic Growth Analysis (4) : Hypothetic Aspects of Growth Mechanics compared with Momentum, Impulse and Kinetic Energy in Motion
• Introducing Viewpoints of Mechanics into Basic Growth Analysis (5) : Problems Derived from Introducing Growth Jerk

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