alexa The Economic Vector Space and the Economic Cycle | Open Access Journals
ISSN: 2375-4389
Journal of Global Economics
Make the best use of Scientific Research and information from our 700+ peer reviewed, Open Access Journals that operates with the help of 50,000+ Editorial Board Members and esteemed reviewers and 1000+ Scientific associations in Medical, Clinical, Pharmaceutical, Engineering, Technology and Management Fields.
Meet Inspiring Speakers and Experts at our 3000+ Global Conferenceseries Events with over 600+ Conferences, 1200+ Symposiums and 1200+ Workshops on
Medical, Pharma, Engineering, Science, Technology and Business

The Economic Vector Space and the Economic Cycle

Paul T E Cusack*

1641 Sandy Point Rd, Saint John, NB, Canada E2K 5E8, Canada

*Corresponding Author:
Cusack PTE
Independent Researcher
BSc E, DULE, 1641 Sandy Point Rd
Saint John, NB, Canada E2K 5E8, Canada
Tel: (506) 214-3313
E-mail: [email protected]

Received Date: January 17, 2017; Accepted Date: March 22, 2017; Published Date: March 29, 2017

Citation: Cusack PTE (2017) The Economic Vector Space and the Economic Cycle. J Glob Econ 5: 243. doi: 10.4172/2375-4389.1000243

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.

Visit for more related articles at Journal of Global Economics

Abstract

A vector space is a series of vectors of different magnitudes and direction which are connected head to tail. There is a vector space that applies to the US economy, for example. My previous paper on the Cusack US Economy Equation contains the 11 variables with the 12th one being t

Keywords

Vector space; Macroeconomics; Physical economics

Introduction

I illustrate here the vector space for the economy as opposed to the physical universe. I've written yet another paper on Cusack's Physical Economics (Figure 1) [1,2].

global-economics-cusack

Figure 1: Illustrate 1 on Cusack's Physical Economics.

1/81=0.012345679 81=c4=speed of light4

Each successive digit is adding 1 less power of 10. So, from logic, a binomial tree yields:

(1+t)11=e0+e1+e1...

=(1/7+7et)

=1/81

0.01234567-1/7=7et

t=398~396

The plot above is 396 × 396

396+396+396+396=4(386)=0.1584=1-sin 1=1-cos 1

1-1584=0.8416

This is the ideal balance for maximum sustainable output Y.

Sin and cos are a two pole problem since Y=1 at full output and Y=0 at no output (Figure 2).

global-economics-maximum

Figure 2: Balance for maximum sustainable.

Now,

The cross product is:

||E||||t||cos 60={G,ec}

E=t

E2×1/2=G =0.

So there is a gravitational equivalent in the economy (Figure 3).

Why is it?

global-economics-equivalent

Figure 3: Gravitational equivalent in the economy.

From Newton, we know:

F=GM1M2/R2

2.667=8/2=2|D|/c={Gec}(Infinity)/R2

Gec=0.251~0.253=Period T (seconds)

R=0.3068

1/R=3.25=13/4

The economy is like a pendulum ranging between high and low outputs.

x=1/[x-1]

x2-x-1=0

x=1.618 =Golden mean

Eigen value=c=3

Eigenvector=√3=1.73

Eigen vector2=eigenvalue

Continuing,

y=y' is telescopic

y=ex=y'=y''....

y=1/+7et

y'=7et=1/c2=0.111

et=0.111/7=0.1586

sin1=cos1

This is where sin meets cos or the settling point between Y=0 and Y=1 (NO output, Full output)

So,

F=Gec × M1M2/R2

0.253 × (Infinity)(0)/13/4)2

0.86=8/3=2|D|/c=E × |D|/eigenvalue=0.778x

x=0.1111=1/c2=1/eigenvalue2

from above

y'=1/7 +7et

0.86=Y Max sustainable

QED

If you didn’t understand that, try this:

Assumption: Money is stored energy. Energy cannot be created nor destroyed. Money cannot be created nor destroyed. Governments cannot create money. The simply devalue their currency by printing money.

From the vector space, we know the economy has a resistance r which is the costs of producing output.

when:

R=dR/dt NPV=0 Y=y’ R=r’ integrate R2/2=R

R=0, 1/2dR/dt=π

E/tπ/2π=1/2=R

When E=π

A=πR2; A’=2πr

Circle=2πr A’=Circle R2=A/π R=√A/√π

R=1/2=√A/1.7725

A=π/4=45 degrees which is the minimum energy level.

The economy seeks the minimum energy to produce maximum sustainable possible output.

So y=y’

E=1/t

Work W=F × d; d=s

=J/s=E/s

W=E/t=E=1/t

E/t=E2

E=0; 1/t=Wt=1/t

Y=W Y’={F × d}’

Y’=F × (ds/dt Y’=Fv=(Ma)(P/v)

P=Mv

Y’=MP; Y’=M(Mv)

M2=1M=√1=-1 M=1

Now, Wt2=1 W=1

W=J/s; W=y/1

W=y=1; W=1; y=1; M=1

t=1

y=F; y’=-F

y=W and y’=W

Recall Money is stored work. So Economics follows the same laws as the universe.

Y’=F(ds/dt) Y’=(1)(ds/dt)

Y’=ds/dt

Y=Integral ds/dt Y2/2=s+C1 Y=√2+ C1

Y=sin1

Y’=–cos1

Y=–y’=sin1=cos1

Vector spaces components:

Period: T=1/t=E=W × t; 1/t=Wt

T2W=1; T(F×d)=1

T2 × y × s=1

(1)(y(1))=1 Y=1

Speed of light: C2-c-1=2c-1 C=1

Force

Y=F

W=F × d

1=(sin1)(d)

=1/sin1=d=s

csc1=s

s=1.11884

1-sin 1=0

–sin=–F; 0.84=F; F=y

Y=sin1

(π-e)=m=E/cuz

Y=mx+b; Y=0.4233x+0

Y=cuz × x

Y=R × x; A=π × R2; A’=2π × R; C=2πR; A’=C

2πR=2πu; R=rx; X=2π; T=2π;

The economic cycle:

Boom=2.09 years stagnation=4.18 years decline=2.09 years=1 economic cycle=8.36 years (Figures 4, 5 and 6).

global-economics-economic

Figure 4: The economic cycle.

global-economics-cycle

Figure 5: Graph for economic cycle.

global-economics-depression

Figure 6: Cycles from depression to depression.

So, we had a decline starting in 2007.9. Add a cycle we get 2014.17=March 2014.

Profits go toward zero. So e-x=0 x=Ln 0 x=t=1 Y=e1cos[2π(1)] Y=2.71828

y=y’

And,

9.44 cycles from depression to depression Y=e-9.44 × cos(2π × 9.44)

Y=7.5

1/Y=0.1334=s

Circle=s2

Circle=0.13342 Circle=0.0178

C=2πr Circle=2.8323

Conclusion

The mathematics models of physics can be used to solve outstanding economic problems.

References

Select your language of interest to view the total content in your interested language
Post your comment

Share This Article

Relevant Topics

Article Usage

  • Total views: 367
  • [From(publication date):
    March-2017 - Oct 20, 2017]
  • Breakdown by view type
  • HTML page views : 318
  • PDF downloads :49
 

Post your comment

captcha   Reload  Can't read the image? click here to refresh

Peer Reviewed Journals
 
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
 
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

Agri, Food, Aqua and Veterinary Science Journals

Dr. Krish

[email protected]

1-702-714-7001 Extn: 9040

Clinical and Biochemistry Journals

Datta A

[email protected]

1-702-714-7001Extn: 9037

Business & Management Journals

Ronald

[email protected]

1-702-714-7001Extn: 9042

Chemical Engineering and Chemistry Journals

Gabriel Shaw

[email protected]

1-702-714-7001 Extn: 9040

Earth & Environmental Sciences

Katie Wilson

[email protected]

1-702-714-7001Extn: 9042

Engineering Journals

James Franklin

[email protected]

1-702-714-7001Extn: 9042

General Science and Health care Journals

Andrea Jason

[email protected]

1-702-714-7001Extn: 9043

Genetics and Molecular Biology Journals

Anna Melissa

[email protected]

1-702-714-7001 Extn: 9006

Immunology & Microbiology Journals

David Gorantl

[email protected]

1-702-714-7001Extn: 9014

Informatics Journals

Stephanie Skinner

[email protected]

1-702-714-7001Extn: 9039

Material Sciences Journals

Rachle Green

[email protected]

1-702-714-7001Extn: 9039

Mathematics and Physics Journals

Jim Willison

[email protected]

1-702-714-7001 Extn: 9042

Medical Journals

Nimmi Anna

[email protected]

1-702-714-7001 Extn: 9038

Neuroscience & Psychology Journals

Nathan T

[email protected]

1-702-714-7001Extn: 9041

Pharmaceutical Sciences Journals

John Behannon

[email protected]

1-702-714-7001Extn: 9007

Social & Political Science Journals

Steve Harry

[email protected]

1-702-714-7001 Extn: 9042

 
© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version
adwords