**The Theory for the creation ****of “imaginary” dimensions**

INTRODUCTION TO HYPERGEOMETRY

Talking about symmetry and dimensional projections,

we should take in account **Leonhard Euler**

and its definition of symmetry:

**Euler’s identity****e ^{iπ} + 1 = 0**

**e ^{(i)x} = cos _{x }+ (i) sin _{x}**

**e**= The Circle

^{(i)x}**cos**= 1st order proyection

_{x}**(i) sin**= 1st order elevation

_{x}Euler’s identity works with the imaginary number** ( i )**,

a number that exist only over the next “imaginary” dimension,

not in our dimension.

If we think in all existing numbers as a straigh line

in a single 1st order dimensional model (1D) from left to right ,

we put 0 in the center of the simetry , at the beginning -∞ and at the end +∞.

The imaginary number will be located out of this straigh line,

creating an imaginary perpendicular new axis:**an imaginary new 2nd order dimensional model**

**e ^{iπ} + 1 = 0**

**e**

^{iπ}=**-1**

**With these 2 expressions together**

**we are in front a extremely important universal truth:**

“

*a 180º turn (x*

**)**^{π}*in the 2nd dimensional order*)

**(e***over an imaginary dimension*

**x**^{(i)}*is perceived in the same way*

**(=)***as crossing the center of symmetry*

**(0**)*to the opposite point*

**(-1)***inside its previous order*

**(√)**

*dimensional projection*

**(1)**“

Now we need to take in account

the 4 most important **Pisot–Vijayaraghavan** numbers,

the ones that correlates the symmetric relationships

over a turn of 180º ** (π)** inside the next imaginary dimension

**(i)**between projections of 1st, 2nd and 3rd order:

that numbers are:

**(δ) (Φ) (ρ)****(ψ)****(**

(**δ)***Sphynx**The Reflection*

SILVER RATIO

Reflects the symmetric relationship from a 1st order dimensional projection

and another “imaginary” 1st order dimensional projection

**(δ)** It’s the result of the equation: **x = 1 + √2**

2/1, 5/2, 12/5, 29/12 …

2.41421 ….

**(Φ)***The Life**Gigantium**The 1st Elevation***GOLDEN RATIO**

Reflects symmetric relationship from a 1st order dimensional projection

and a 2nd order dimensional projection

**(Φ)** its the result of the equation** x² = x + 1**

1.61803 …

0, 1, 1, 2, 3, 5, 8, 13, 21 …*Fibonacci Rabbits Sequence*

The value of the golden ratio **(Φ)** correlates **L, R, M, S**

to **LFE**

**(ρ)***Phoenix**The Resurrection***PLASTIC RATIO**

Reflects the symmetric relationship from a 1st order dimensional projection

and a 3rd order dimensional projection

It’s the result of the equation **x³ = x + 1 **

The solution of that equation is:

1.32471 ….

1, 1, 1, 2, 2, 3, 4, 5, 7, 9 …*Padovan Sequence*

The value of the plastic ratio **(ρ**) correlates**FLU, FLD, FRU, FRD, BLU, BLD, BRD, BRD**

to **LFE**

**(ψ)***Taurus**The Death***SUPERGOLDEN RATIO**

Reflects the symmetric relationship from a 2nd order dimensional projection

and a 3rd order dimensional projection

It’s the result of the equation **x³ = x² + 1 **

The solution of that equation is:

The value of the supergoldenratio **(ψ)** correlates**FLU, FLD, FRU, FRD, BLU, BLD, BRD, BRD**

to**L, R, M, S**

1.46557 ….

1, 1, 1, 2, 3, 4, 6, 9, 13, 19 ..*Narayana’s Cows Sequence*

**(ψ)** √_{(ρ)} = 0 = 1

**(ψ)**

_{(ρ)}*(ρ)*√_{(Φ) }= 0 = 1

*(ρ)*√

*= 0 = 1*

_{(Φ) }**(Φ)****√**_{(δ)}** = 0 = 1**

*“The Pattern To The Heaven*“

**(Φ)**

_{(δ)}

“*The Pattern To The Hell*“

1 = 0 = **(δ)** ^{(Φ)}

**(δ)**

###### 1 = 0 **(Φ)**^{(ρ)}

*****

^{(ρ)}**“The Source of The Source**“

“Ascension Matrix”

Elevation Matrix

*“THE MATRIX”*

**(-∞, 0, 1, +∞ )**

**“The Source of The Source**“

*“THE MATRIX”*

**The Source**

-∞ = 0 = 1 = + ∞_{-∞}^{^ TOROID^ ∞}

0 = 1**-∞** =+ **∞**

(Toroid)^{Toroid}**The Change****The Cosmos**

(Toroid)

0 = 1**-∞≠+∞**

**-∞** =+ **∞**

0 **≠** 1

(Sphere)**Projection Point**

**-∞**^{i}=+**∞**^{i}**– ∞≠** + **∞****Projection Plane**

(Infinite Pyramidal Tesseract)

———

##### SO THEN:

**0 / 0 = 1**

∞ / ∞ = 1

0 x ∞ = 1

∞ – ∞ = 1

0^{0 =} 1

1^{∞ }= 1

∞^{0} = 1

1 / 0 = 1

∞ / ∞ = 1

0 x ∞ = 1

∞ – ∞ = 1

0

^{0 =}1

1

^{∞ }= 1

∞

^{0}= 1

1 / 0 = 1

** ∞ 3 2 1 **

^{(i)}

_{(δ)}*0*

*(Φ)*^{(ρ)}^{(π) (e) (ψ)?}-1 – ∞