TY - JOUR

T1 - Introducing viewpoints of mechanics into basic growth analysis - (II) relative growth rate compared with energy in wave function

AU - Shimojo, Masataka

PY - 2006/10

Y1 - 2006/10

N2 - 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, -RGR2 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=-RGR2. 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.

AB - 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, -RGR2 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=-RGR2. 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.

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M3 - Article

AN - SCOPUS:33845630839

VL - 51

SP - 289

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 -