# The Fundamental Solution to Economics

**Paul TE Cusack**^{*}
Eng, Dule 1641 Sandy Point Rd, Saint John Nb, Canada

- *Corresponding Author:
- Paul TE Cusack

Eng, Dule 1641 Sandy Point Rd,
Saint John Nb, Canada

E-mail: [email protected]

**Received date: **10/05/2016 **Accepted date:** 24/05/2016
**Published date:** 28/05/2016

**Visit for more related articles at** Research & Reviews: Journal of Statistics and Mathematical Sciences

#### Keywords

Macroeconomics,
Microeconomics, Cusack’s Universe, Wave
equation.

#### The Interest Formula

If the Interest Formula is (**Figure 1**):

**Figure 1:** Illustration 1, energy vs. time in physics and economics.

(1+ i)^N

Then,

(1+Rm)^Pi

Rm = Resistance to Mass formation; or the cost of money i.

Pi = time t.

E = Energy = GDP

So, we take the sum of Inputs Interest and Material and Labour which sum to the GDP or Energy:

e^(-t) = Rm + Ln E

Money Supply = M.S. = 7 = 10/sq. rt 2

7.07 = (t-E) + Ln E

8.07E = Ln E

E = 0.868

**Quantum Mechanics, Position Equals Velocity**

Let,

L = v (L = Position; v = Velocity from Quantum Mechanics) [1]

Integral L = Integral v

Money Supply = M.S = L

Integral L = L

M.S. = L = v

**The Super-force and the Grand Unified Theory [2]**

M.S. = sin theta = F = Ma = P = Mv = Super-force

F = 8/3 = 2.667

Money Supply/ Individual’s Money = M.S./I.M = sin theta * M

8.3 = sin theta M^2

8/3 = 0.8415 M^2

M = 3.16~Pi = t

I.M. = Pi^2 = 1.7802

Pi^2/11521 = 1.7802/115 = 1.548~1.5

Mass Gap = 1/G where G = 2/3 = Gravitational Constant.

Since it takes money to make money, the more money one accumulates, the more one has to invest and make more money.
It is the same with Mass or matter. Gravity works the same for money as it does for matter.

F = 8/3 = Ma = Mv

a = v = 0.8415

M = F/a = 8/3/0.8415 = 3.1689 = Pi = t

M = t

dM/dt = dt/dt = 1

Integral dM/dt = M = 1

E = 1/t = 1/1 = 1 = World GDP

**Golden Mean Energy Parabola**

t^2-t-1 = E = e^(-t)

2Ln t-Ln t-0 = -t

Ln t = -t

1/t = 1

t = 1

1/2 *E*t*s = 1/2 (0.868)(1)(4/3) = 1/sq. rt 3

**Schrodiner’s Wave Equation**

The Wave Equation governs atoms and individuals in an economy..

U+ iV = 1+ (1)(0.618) = 1.618

1.618 = 1/ sqrt (2* PI)* e^k

k = 14.001

Now,(1+ e^t) = 1.73 = eigen vector.

e^t = 0.73

Ln (0.15t) = Ln 0.73

15t = 3.14

t = 2.098

= 2.15

Ln (t)* Ln 2.15 = 3.069 = c

Ln t = t

1/t = t

E = t

#### Conclusion

The Economy is always seeking to find this Optimum condition. When Individuals seek to save 15% or 1/7 or their Income
which is used for Investment, the Economy is functioning “on all cylinders”. It creates an economic situation where the velocity of
money is equal to the supply.

#### Disclosure

There are no funding sources and no conflicts of interest.

#### References

- Bohm D. Quantum Theory. Dover Publications. 1989;1-30.
- Paul CusackTE. Astro-theology: Cusack’s model of the Universe. Lulu Publications. 2015;1-629.