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Received Date: January 09, 2017; Accepted Date: January 24, 2017; Published Date: January 30, 2017
Citation: Cusack PTE (2017) More on the 7 Year Economic Cycle and the Bell Normal Curves. J Glob Econ 5: 231. doi: 10.4172/2375-4389.1000231
Copyright: © 2017 Cusack PTE. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Here is a paper on mathematical economics that provides a solution to the old question as to why the economy goes through a 7-year cycle. The answer lies in astrotheology mathematical physics. The Bell Normal Curve is used to explain this phenomenon. The viscous forces in the economy, whatever they may be, must be overcome by the inertial forces. Further study of these forces should be undertaken so that the negative impact of the cycle can be overcome.
Bell Normal Curve; Economic cycle; Savings rate; Astrotheology; Mathematics
It has been known for some time that the economy goes through a complete economic cycle approximately every 7 years. In a previous paper, I showed that the root cause for this phenomenon is demographics and the fertility of women. Having children necessitates spending. In this paper, we look at the and its equation, apply mathematics from Astrotheology Physics to try to understand why it takes 7 years to come to a resolution of a recession. The answer lies in the inertial forces overcoming the viscous forces as found in the Reynold’s number. We begin with the Bell Normal curves [1,2].
The equation for the Bell Normal Curve is:
Take the derivative,
2t=6.9282~7 years or 1 cycle
Re=Inertial Forces/Viscous forces
Re=ρv/=density * velocity/Poission’s ratio
We know from Astrotheology physcs that Re=0.403
Re=(0.127) (sin 1)/(0.27)
=1/ Period T
Since 1 rad=0.4 of a cycle, and Re=0.403,
The Viscous forces in the economy equal the inertial forces at the “boom“.
v=a=0.8415=sin 1 rad.=sin t =~6σ/7 tears
t=1 rad/ (2π)=0.4 of a cycle
So the energy in the economy, when the Re=1, or viscous overs inertial forces, is at t=6σ =7 years.
Now the Savings=Investments, or S=I
1-sin 60°=0.134~0.1353 or 7.7 years
So, an economic cycle is about 7 years.
Now the cross product from Physics, and E=1/t
=(1/2)(2)(sin 1 rad)=0.8415
e-t=0.1585 =1/(2π)=1 rad=t
So we see that the Bell Normal Curve adequately explains why the economy takes 7 years to complete one economic cycle. Admittedly, the economy is very complex and there are other factors that influence its duration.
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