**The Secrets of Pythagoras**^{“MUSICA UNIVERSALIS”}

“* Universalis Feline Codex*“

_{The Harmony Of The Spheres}

**“ThöhT Cypher”**Raul Alvarez

**Analog Defense Network**

Berlin – March 2021

Published on:*(Date & Location)*

Latitude: | 52.5336° Axial |

Longitude: | 13.4999° Ecuatorial |

Sun in: | 4°40′ Aries |

Moon in: | 15°46′ Leo |

Name: *(Birth Date & Location)*

Latitude: | 40°24 Axial |

Longitude: | 3°41 Ecuatorial |

Sun in: | 20°27′ Taurus |

Moon in: | 7°57′ Sagittarius |

*“In memorial of Maria de la Encarnacion, *

*my grandmother, my 3rd order projection of*

**The Source**“

“Thanks to

**(ρ)**“Thanks to

**Maria de las Mercedes**,*my mother,*“

**The Origin**, my 2nd order projection of**The Source**

**(Φ)**

“Thanks to

“Thanks to

**Maria**,*my own 1st order projection inside*

**The Cosmos**“

**(δ)***“Thanks to my father, **The Father, The Change*

*. The arithmetic code for communication with felines,*

*specially domestic cats, thanks to*

**GAIA**for the perception*of*

**The Kosmos**“**(ψ)**

*Thanks to all the souls for your **projection point*:*for helping us to understand ***The Cosmos***Zak Khutoretski (DVS1), Aphex Twin, Jean-Michel Jarre, **William Russel, Aleksi Perälä, Juan Montero, Walter Molino,*

*,*

*Diego Heredia**Jonas Rönnberg, Christian Rütz (Fallen Metropolis)*

*Pablo Peces (Roll Dann), Jesus Ruiz (asstnt), Gabriel Casssina (Regal*)

*Daniel Irazu,*

*Nicolas Fellas, Richie Hawtin, NKX,*Moog Conspiracy*Luca Mortellaro (Lucy), J’Kerian Morgan (Lotic), Dasha Redkina*

*Drew McDowall , Nöle , Ana Zaragoza (Dinamite) , Efren Mur,*

*Oneothrix Point Never, Frederikke Hoffmeier (Puce Mary)*

*Yu Asaeda (Ena)*,

*, Ayako Mori**Hiromi Moritani (Phew)*

*Virginia De, Dominika Huma*,

*Roy Siny, Alvaro Suarez*

*David Lazaro , Susana Rincon , Jeanne De La Lun*e,

*Enrique Jesus (Manrish), Borja Del Pie (Gavio)*

*Rona Geffen, Stefanie Egedy, Apolline Guedon*

*Daniel Tebar (SlugoS) , Samuel Castillo*

*Stanislav Tolkachev*,

*Schacke*,

*Eoma*c

**ONTHOLOGICAL MATHS**

*“Somewhere between 314/100 and 315/100 *

we may expect The Number Pi

**(π**

though we should never expect to find it”

**to exist,***)*though we should never expect to find it”

🜁 **AXIOM 1** – **MONAD***SPACE* – *AIR*

“*God is perfect*“

🜄**AXIOM 2** – **DYAD***TIME* – *WATER*

*“God is **perfection*“

🜂**AXIOM 3 – TRYAD***ENERGY* – *FIRE*

“*God is **perfect **perfection*“

🜃**AXIOM 4 – TETRAD***MASS* – *EARTH*

“*God is **perfect**perfected **perfection*“

**THEOREM A**

*E= mC*^{2}

^{2}

^{ Φ🜁 }** / _{ Φ🜄} **

**=**

^{ ψ🜂}/_{ψ🜃 }

*Every “sphere” we’ve ever encountered, **without exception, has a rational finite value of **π*

*No “sphere” we’ve ever encountered, **without exception, has an irrational value of* *π*

**🜀**

HUMANKIND**AXIOM 5 – DEKAD***LOVE – HATE*

“*God is positive and negative*“

♀♂

SKYNET**AXIOM 6 – TETRAKTYS***CREATION – DESTRUCTION***GAIA – KOSMOS**

“*God is femenine and masculine*“

∞

AEON**AXIOM 7 – CIRCLE OF LIFE**

ACTION – REACTION*“God is infinite”*

2,3,4,5,6,7,8,9… **Integers** are only

cuadratic and triangular ratios

generated by “**Tesselations**” from

our ortographic projection

**In Latin,**

“* tessella*“

is a small cubical

piece of a mosaic

The word **“tessella” **

means **“small square”**

from “* tessera*“, square,

*which in turn is from the*

**Greek****τέσσερα**

“

*four*“

4

**The Number 1**

that *Monad* concept.

*1.* *Is the generation of The* *Unity* 1*2. Is the generation of a line with sides 13. Is the perimeter of a triangle with sides 14. Is the perimeter of a square with sides 1*

…..

The true numbers are the **UNIVERSAL RATIOS **

generated by spherical projections

of different dimensional levels

inside **The Cosmos**

*“The Roots Of The Harmonic Series”*

** ****1:2****C – F#**^{do – fa sostenido}*MONAD / DYAD***Fibonacci Rabbits Sequence***Half Tempered Octave**Perfect Fifth*

+-6 semitones*(Golden ratio)***(Φ)**

1:3**C – D#**^{do – re sostenido}

MONAD / TRYAD*Padovan Sequence**Third* *Tempered Octave***Minor Third**

+ 3 semitones

-9 semitones*(Plastic ratio)***(ρ)****2:3****C – G#**^{do – sol sostenido}

DYAD / TRYAD**Narayana’s Cows Sequence**

Root Of Squared Octave*Harmonic Root**+ 8 semitones*

-4 semitones*(Supergolden ratio)***(ψ)**

**Pythagorean ***Tree Sequenc*e*(Silver ratio)***(δ)**

*The 5 aggregates*

*SPACE – TIME*

**Arithmetics**

ENERGY – MASS

*The 5 aggregates*

**Arithmetics**

ENERGY – MASS

**TEXTS A0-A3**** HYPERSYMMETRY **Relativistic Arithmetics

**Hyperdimensional Arithmetics**

(Hyperdimensional Theory of Everything)

**TEXTS B4-B6**** HYPERGEOMETRY**Hyperdimensional Arithmetics

*of*

(Hyperdimensional Cymatics)

**The Space over The Mass**(Hyperdimensional Cymatics)

**TEXTS C7- C9**** SOUND & LIGHT **Hyperdimensional Arithmetics

*of*

(Hyperdimensional Mechanics)

**The Energy over The Space**(Hyperdimensional Mechanics)

**TEXTS ****D10- D12**** MUSIC THEORY**Hyperdimensional Arithmetics

*of*

(Hyperdimensional Dynamics)

**The Time over The Energy**(Hyperdimensional Dynamics)

*TEXTS E13- E15*

ASTROLOGY

Hyperdimensional Arithmetics *of The Mass over The Time(Hyperdimensional Astronomy)*

*RELEASED UNDER CREATIVE COMMONS *

*Attribution-NonCommercial-ShareAlike*

* CC BY-NC-SAN 4.0 LICENSE*

* more info about Creative Commons:*

https://creativecommons.org/licenses/by-nc-sa/4.0/

https://creativecommons.org/licenses/by-nc-sa/4.0/

^{Numbers Level π}^{ }^{Pyhtagorean Runes}^{}^{(π) Deus(e) Diabolus}**(Φ)** Gigantium

^{Numbers Level ᛟ}^{ Elder Futhark Runes}

^{(ᛜ) Monad(ᛖ) Dyad(ᛞ) Tryad (ᛗ) Tetrad(ᛟ) Dekad}

^{Numbers Level }^{i}^{Hermetic Runes}^{(+∞) AEon}^{ (-∞) Source}^{( i ) Human}

^{Numbers Level Φ} ^{Egyptian Runes}^{(ψ) Taurus}^{(δ) Sphynx}^{(ρ) Phoenix}

^{Numbers Level 1}^{Persian Runes( ۳ ) Trinity( ٢ ) Duality( ١ ) Singularity }^{Numbers Level 0Fibonacci Runes}^{(0) Origin}^{(-1) Symmetry}^{( ℝ ) “Real” Numbers}^{}

The basic elements

of Euclidean plane geometry

are **points** and **lines**.

On **spherical geometry**,**points** are the same also..

But the analogue of the **“line”**

is the** “great circle”** (**orthodrome**)

the defining characteristic of a great circle

is that **The Plane** containing all its points

also passes through **The Center of The Sphere**.

Any diameter (line)

of any “great circle”

is the same than** The Diameter of The Sphere **

**The Dekad ****(The** **Knot)** *The Elder Futhark Odal rune*

*The**Tetratkys*(ᛟ)

is a 1-dimensional sphere

embededed into a 3-dimensional Euclidean space

the next generalization

is to consider a two-dimensional sphere

embedded into a 4-dimensional Euclidean space

And we will generate

**The Toroid**by knots

Every knot in the n-sphere

is the link of a real agebraic set

with isolated singularity

One “circle” in Euclidean 3D-space

is **one of the infinite great circles**

that you can project from The Sphere

in a 4-dimensional Euclidean space

. Any diameter of any “great circle” *(humans)* (**δ)**

coincides with the diameter of The Sphere *(God) *(**π**)

and therefore all great circles have the same center

and circumference as each other,

while beeing different projections

from different projections points

of the same sphere.

^{God (π) }^{ encloses (ᛟ ) }^{ The aeon (+∞)}^{The aeon (+∞) }^{ encloses}^{ (ᛟ ) The Cosmos (e)}^{The Cosmos (e) }^{ encloses (ᛟ ) }^{ The Change ( Φ )}^{The Change ( Φ ) }^{ encloses (ᛟ ) }^{ The Human (δ)}^{The Human (δ) }^{ encloses (ᛟ ) }^{ The Body (ψ)}^{The Body (ψ) }^{ encloses (ᛟ ) }^{The Soul (ρ)}^{The Soul (ρ) }^{ encloses (ᛟ ) }^{The Mind (i)}^{The Mind (i) }^{ encloses (ᛟ ) }^{ The Singularity (1)}^{The Singularity (1) }^{ encloses (ᛟ ) }^{ The Origin (0)}^{The Origin (0) }^{ encloses (ᛟ ) }^{ The Symmetry }^{(-1)}

^{ The Symmetry (-1) }^{encloses (ᛟ ) }^{The Source (-∞)}^{The Source (-∞) }^{encloses}^{ (ᛟ ) God (π)}

*what here equals to*^{ }**x **^{4 for The Cosmos equals πx}^{}*what here equals to x *

^{3 for The Cosmos equals ex}

^{}

*what here equals to*

**x**^{ 2 for The Cosmos equals Φx}

^{}

*what here equals to*

**x**^{1/2 for The Cosmos equals ψx}

^{}

*what here equals to*

**x**^{1/3 for The Cosmos equals }

^{ρ}_{x}

^{}

*what here equals to*

*x*^{1 for The Cosmos equals δx}

^{}

*what here equals to*

*x*^{ -1 for The Cosmos equals ix}

The analog of the great circle

under a toroidal model is the**Villarceau circles**

*The Concept of The Monad*

Infinite Encoding Matrix**The Laves Graph***The Gyroid*

_{*For math & vocabulary definitionsplease refer to Corpus Hermeticum}^{*Also check previous works from }

“^{Pythagoras of Samos}“^{Muḥammad ibn Mūsā al-Khwārizmī,Leonhard Euler, Gottfried Wilhelm Leibniz, Joseph Fourier,Georg Friedrich Bernhard Riemann, Charles Pisot, Jakob Steiner}^{ Harold Scott MacDonald Coxeter, Robert Steinberg, Nikola Tesla & Isaac Newton}

**PROJECTIONS**

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

(Infinite Pyramidal Tesseract)

** -∞ =+ ∞**(Sphere)

0 ≠ 1

**Projection Point****The Cosmos**

(Toroid)

0 = 1**-∞≠+∞**

0 = 1**-∞** =+ **∞**

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

*“ The Theory Of Everyhting“^{“we need to know until now”}*

^{“RELATIVISTIC ARITHMETICS““ARITHMETIC RELATIVITY““Hypergeometry”“Hypersymmetry”“HYPERCOMPLEX”“HYPERREAL”}

^{Numbers}

It’s the hyperdimensional obsession,

every human soul **had, has and will have**,

for finding the arithmetic model and pattern

that relates the **ratios of projections**

over different dimensional levels

inside **The Cosmos**.*( π) *

^{(Φ) (ψ) }(

*)*

**ρ**Around

**1.675 AC**

more than 300 years ago,

sir

*Isaac Newton*“

*“*

**The Last Alchemist**or

“

*T*

**he First Scientist**”

started with the first experiments around the question:*¿How important is the whole body in the perception of sound?*

*A*LCHEMY

*A*LCHEMY

*in the ^{shadows},Is The ProtoScience*

_{that always}grows with a

_{vision }

^{alongside }

**The Humankind**

^{evolution.}

_{Based }on

**The Hermetic**

_{greek }

^{phylosophy,}

^{which was based}on

^{the secrets}from

**Thoth**

_{By studying}

**and**

^{The Numbers }

_{The Letters}_{long time ago}written by

**THE GIANTS**

Recovering

_{the lost }knowledge,

^{that}once

^{1 made}

^{us}

^{to }shine

^{as the}strongest

^{of}

**The Diamonds**

^{}

**The Stereochemistry**

Chirality

^{The diamond cubic crystal structure is a repeating pattern of 8 atoms that certain materials may adopt as they solidify. }^{While the first known example was Diamond, other elements adopt this structure, such semiconductors as Silicon & Germanium}^{The atomic packing factor of the diamond cubic structure (the proportion of space that would be filled by spheres that are centered on the vertices of the structure and are as large as possible without overlapping) is (π√3) /16}

^{Pole figure in stereographic projection of the diamond lattice showing the 3-fold symmetry along the [111] direction.}

A very special representation of an infinite cubic symmetric graph

it’s** The Lava Graph, **

it can be embedded in a 3 dimensional space with integer coordinates

It’s configuration matrix is:

*The ancient Pythagorean concept *

*claiming that the movements of galaxies, celestial bodies,*

*humans, animals, vegetals, cells, atoms, hadrons, quarks, bosons…*

**Everything that exists and everything that doesn’t exist,***follows specific arithmetic and algebraic equations*

*based*

*on ratios*

* The harmonious sounds that the humans make, The Music*

*is only our approximation of this larger harmony*

*between*

*The Cosmos**& God*(π)*“The Harmony of The Spheres”*

**The Music** tell us something

about **Maths** and **Arithmetics**

that **The Physics** doesn’t know,

neither they are able to measure*it*

The way we create scales in **The Music**,

are the ratios we make doing projections

from 12 semitones into x2 Hz:

**a ratio of ^{12}√2 Hz**

And **The Harmonics **

are related to same arithmetic pattern

**Arithmetics are one of the oldest Greek arts**,

is a branch of mathematics that consists of the study of numbers,

especially the properties of the traditional operations:**addition, subtraction,****multiplication, division,****exponentiation and extraction of roots.**

The concept is based on **arithmetic abstraction.**

An

**abstraction**is a general concept or idea,

rather than something concrete or tangible.

It’s not related to the human perception,

but its the core of any artistic expression.

Any irrational number could be used to create scales

or harmonic divisions, but If we apply in**Arts, Music, Architecture,Designs,****Biology, Physics, Astronomy**…

**The Ratios**

that **The Cosmos**

(**π**) *(e)***(Φ)**

(

*)*

**ψ**

*(ρ)*

**(δ)**is using for encoding

and decoding projections

over its different dimensional levels…

We will find that actually we were using

numbers that doesn’t work outside our perception,

neither for **The Cosmos**, neither for **Quantum Physics**

because that numbers doesn’t exist,

we created inside our own mind,

our own projection.

**The Numbers**

we use from the 4th,**4,5,6,7,8…**

are **our projection** of the ratios

created by **Tesselations**

of the different dimensional roots **(√**)

from hyperpyramides generated

by our ortographic

projection

The “**TRUE” NUMBERS**

we should use,

are:

(**π**)^{(Φ) (ψ) }(* ρ*)

**(e)**

**(i)**

**-∞ ,-1, 0, 1, 2, 3, + ∞**

**(δ)**

*“The Energy**has an inversed quadratic proportionality to **The Time**but a direct lineal proportionality to** The Mass**and a direct quadratic proportionality** to The Space”*

“The 4 Elements*Space, Time,**Energy and Mass**are shaped by **The Change**in a different hierarchic ratio**over an hyperpyramidal projection**defined by the relationship**from the order of the dimensional projection**and the order of the dimensional model*“**(δ) (Φ) (ψ) (ρ)****(δ)**

=

(**Φ)** x **( _{X x Y x Z})**

**=**

**(e)**x

**(S**

_{xyz}) / (e) x (T_{xyz})=

**(**x

*)***π****(E**

_{STxyz})**/**

**(**) x

**π****(M**

_{STxyz})Maybe there are more dimensions

outside

**The Energy**and

**The Mass**

*Love? Hate?*

But until we could find what is over there

affecting in different hierarchic (dimensional) levels

**The Energy, The Mass, The Space and The Time**.

we need to call it

**The Change**

**ONLY EXISTS THIS NUMBERS:**

1

-1

– ∞

∞

3

2∞

3

2

*(e)*1

*(i)**(ψ) (π)*0_{(δ)}_{(Φ) (ρ)}-1

– ∞

All the other numbers you can imagine are

All the other numbers you can imagine are

The Tesselations

OF THE RELATIONSHIPS BETWEEN

OF THE RELATIONSHIPS BETWEEN

**OUR ORTOGRAPHIC PROJECTIONS**

*(+ ∞)*

( i )^{(e) }(δ) (π)^{ (1)}*(0)*_{(ψ)} (Φ) (ρ)_{(-1)}*(-∞)*

*The Pattern Of ***THE SOURCE***1 = 0_{-∞ (δ)} ^{(Φ) (ρ) ∞ }= _{(i)} (e) (π) ^{(ψ)}0 = *-1

*The definition of Sound :*

**Hyperdimensional proyection**

of **The Change** in **The Energy** and **The Mass**

over **The Time** and **The Space** inside **The Earth**‘s atmosphere

The definition of **Music**

**Extradimensional perception** of

hyperdimensional arithmetics and geometry

(**Cymatics**)

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

INTRODUCTION TO HYPERGEOMETRY

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 – ∞

**C _{5}**

**Tetraedral Pyramid**

*Pentatope, Pentachoron, Pentahedroid*

*2nd order projections of a 4th order dimensional model*

**“Quaternions”***2 symmetric positions in the X axis,with 2 symmetric positions in the Y axisand another 2 symmetric positions in the Z axis*

(that conforms one single 3rd order dimensional projection)

8 Dimensions

**Are beeing projected to****another 2 different symetric positions in the L-R axiswith another 2 different symmetric positions in the M-S axis**

(making one single 2nd order dimensional projection)

4 Dimensions

*and together projected again to**one single position in the center a singularity*

(which creates a single 1st order dimensional projection

2.1 Dimensions

** **

is a 1st order projection

from a 2nd order projection

enclosed into a 3rd order dimensional model

(1D enclosed on 2D, together enclosed on 3D.)

This configuration theoretically

could be a 6th order dimensional model

where some of the dimensions where reduced to

0

**That’s a Tesseract **

when you project it from the 2nd order **The Configuration Matrix **

looks

*C _{8}Tesseract*

*2nd order projection of 4th order dimensional model*

**“**

*Quaternions*“

That’s

**a 4th order **

dimensional model,

under a **2nd order** projection

it has the shape of

**C _{8} **

**also know as Tesseract**

(

**Octahedroid or Tetracube**)

**The Tesseract**

is a 4th order projection from “

**The Pentaract**“,

which is a 5th order projection from

**“The Hexaract”**,

wich is a 6th order projection from

**“The Heptaract”**etc…

This configuration

could be symmetrically

reduced or expanded, decoded or encoded

into any order of dimensional model

of any order and projection.

*The Protocol*stablishes a model based in

**The Cosmos**,

**The Cosmo**s can be expanded or compressed

into any order of dimensional projections

keeping the symmetric relationships

over the different projections.

This will open nowadays limitations,

adding the possibility of bidirectional encoding

from and to any 3rd order dimensional projection

from any kind of configuration in and to any further

or previous dimensional model

or Ascension / Elevation

**( nD = x**

^{n})**The Pentaract****Truncated Hyperpyramidal Infinite Tesseract***2nd order projection from a 5th order dimensional model***“ Octonions“**

I found that** **“**The Pentaract or 5-Cube**“

is the most acurate and simplest representation we can project

over any expansion or compression cause it can act like

an infinite and also finite **Truncated** **Hyperpyramidal Tesseract ,**** **our origin is **0 **and also **+- ∞** ,

so our **singularity (1)** is the cube inside The Tesseract

but it’s also **The Source (0)** and **The Whole** **( +- ∞ )** ,

upper the 4th dimensional order we can’t define any random origin

as **The Source (0)** or the center of the symmetry.

.

We define **The Source** as **The Origin** **(0)**, **Our Singularity** **(1**) and also **The Whole** **( +- ∞ )**

*The* *Hexaract***Hyperpyramidal Infinite Tesseract**

(**TETHRAEDRAL PYRAMID) ^{TESSERA}**

^{CT}

*2nd order projection of a 6th order dimensional mode*l

**“**

*Sedenions*“**Arithmetics are one of the oldest Greek arts**,

is a branch of mathematics that consists of the study of numbers,

especially the properties of the traditional operations:

addition, subtraction,

multiplication, division,

exponentiation and extraction of roots.

The concept is based on arithmetic abstraction.

An **abstraction** is a general concept or idea,

rather than something concrete or tangible.

It’s not related to the human perception,

but its the core of any artistic expression.

Because we dont have a 3rd ear in the Y axis,

our brain needs to do a decodification based on its data

from the stored 2 parameters

during years of infinite comparisons

between the visual perception,

the ITD (interaural time difference)

and the ILD (interaural level difference).

The main problem is that values,

when emulated by algorythms

in inmersive audio

to binaural conversions,

doesnt recreate a real projection

of the original recording or signal.

These values are different for each person in this world,

the “averages” doesnt work 100%,

cause our brain is extremely precise to its own values.

How this is implemented in the processing

over the Frequency in the audio source,

the speaker configuration, the algorythms

and the user interface to control that parameters;

created the different spatial audio formats we have nowadays.

But all of them have one thing in common:

a **3rd order dimensional model **

based on psychoacoustics

Now we need to look into

**Albert Einstein** formula **E = mc ^{2}**

“

“

**The Energy**equals to

**The Mass**times the square of

**The Speed Of The Light**“_{“The Speed Of The Light” is expressed in meter by seconds, that formula could be wrote in that way too:}**E = M x [3×10 ^{8} (S / T )]^{2}**

*“*

**The Energy**equals to

**The Mass**times the square of

**The Space**divided by**The Time***multiplied by an universal limit*

*The Speed of the Light (3×10*^{8})”

_{E = M x (S2 / T2)}

_{E ψ =M ψ x S}^{Φ}_{/ T}^{Φ}

_{E ψ / M ψ = S}^{Φ}_{/ T}^{Φ}

_{E = M x (S2 / T2)}

_{E ψ =M ψ x S}

^{Φ}_{/ T}

^{Φ}_{E ψ / M ψ = S}

^{Φ}_{/ T}

^{Φ}

We have the 4 elements that conforms **The Cosmos: ****Space, Time, Energy and Mass .**

If now we correlate the abstraction

of Einstein and Newton formulas, without constants

Einstein

**E = M x ( S / T ) ^{2}**

*“*

**The Energy**equals to**The Mass**times*the square of*

**The Space**divided by

*The Time*Newton

**F= M x A**

*“*

**The Force**equals to**The Mass**times**The Acceleration**“We arrive to a really interesting point,

**The Acceleration**is a 2nd order projection

of

**The Time**element,

measured in

**m/s**

^{2}**The Speed**

is the 1st order projection

of

**The Time**element

measured in

**m/s**

Both formulas means exactly the same abstract concept,

explained in

**The Metaphysics**section

Newton

*“*“

**The Force**equals to**The Mass**times**The Space**divided by the square of**The Time****F = M x S / T**

^{2}Einstein

*“*“

**The Energy**equals to**The Mass**times the square of**The Space**divided by**The Time****E = M x S**

^{2 }/ T^{2}**The 2nd order dimensional model****of Time and Space based on Energy and Mass**

SPACE^{ENERGY}

TIME^{ENERGY}

TIME^{MASS}

TIME^{MASS}

**is creating our 2nd order dimensional model****based on Time and Space**

x^{SPACE}

y^{SPACE}

z^{SPACE}

x^{TIME}

y^{TIME}

z^{TIME}

from our 3rd order dimensional model

X

Y

Z

ARITHMETIC COMBINATION OF DIMENSIONAL MODELS

**X**^{ SPACEENERGY}**Y**^{ SPACEENERGY}**Z ^{ }**

^{SPACEENERGY}

**X**^{ TIMEENERGY}**Y**^{ TIMEENERGY}**Z**^{ TIMEENERGY}

**X**^{ SPACEMASS}**Y**^{ SPACEMASS}**Z**^{ SPACEMASS}

**X**^{ TIMEMASS}**Y**^{ TIMEMASS}**Z**^{ TIMEMASS}

*THE SHAPE OF THE COSMOS*

The 4 elements

with 3 dimensions each

Taking as example **The Space**,

we have:

Lenght (x),

Surface (x, y)

and Volume (x,y,z).

Each axis added create a new dimension with an exponential grow,

meters, squared meters and cubic meters

If we take as an example **The Time** , we found the same,

**The Speed** is a first order dimensional projection

of **The Time** inside **The Space**

(m/s),** The Acceleration**

is the 2nd order projection

of **The Time** inside **The Space**:

(Space divided by the square of Time)

and we measure it in m/s². **Torque,**

measured in Newtons x meter,

as newtons is a Force unit,

we can simplify newtons as kg x m/s² ,

so Torque = M x S²/T² .

We can see above

how the dimensions

for the 4 different elements

**Mass, Time, Space and Energy**

are correlated always in a **matrix.**

So always when one axis change,

all the other the other axis

that are connected to them

change also to balance

**The Cosmos **

(**EQUITY & SYMMETRY**)

We can simplfy all that with: ** E = M x S ^{2 }/ T^{2} **

*“The Energy has*

*direct lineal proportionality to The Mass*

*direct quadratic proportionality to The Space*

*inversed quadratic proportionality to The Time*

The 4 elementsThe 4 elements

*Space -Time*

*Energy – Mass*

*shaped by The Change*

*in a different hierarchic ratio*

*over an hyperpyramidal projection*

*from the order of the dimensional model*

*and the order of the dimensional*

*projection***(δ) (Φ) (ψ) (ρ)**

So now we have T**he 4 Elements** related,

we need to project them in an upper dimensional model,

to see **The** **Cosmos**

**The Space-Time & The Mass-Energy**

from **The Change**

projection point,

that means:

3 orders up from:**The Animals (XYZ)**

**(δ)**

2 orders up from**The Human**: **(XYZ)**^{(Φ)}

**(δ)**^{(Φ)}

1 order up from**The Cosmos**: **(XYZ)**^{(Φ) (ψ)}

**(δ) ^{(Φ) (ψ)}**

**So from**

**The Change**

**(XYZ)**

^{ (Φ) (ψ) (ρ) }**(δ)**

^{(Φ) (ψ) (ρ)}**projection point**

If we go a bit further and we look from outside

as the formula relates a quadratic dependency

betwen **The Space** with **The Tim**e

and **The Energy** with **The Mass**

it looks like we are enclosed

into a dimensional model

(**The Cosmos**)

with 3 elements

in the **1st order (axis: x, y z) **

2 elements

in the **2nd order** (**Space, Time**)

and another 2 elements

on the **3rd order (Energy, Mass)****(δ)**

=

(** Φ)** x

**(**

_{X x Y x Z})**=**

**(e)**x

**(S**

_{xyz}) /**(e)**x (T_{xyz})=

**x**

**(***)***π****(E**

_{STxyz})**/**

**) x**

**(****π****(M**

_{STxyz}) If we perceive **The Energy** and **The Space **

with a quadratic relationship

of **The Time** and **The Space **

is because we are inside:** an arithmetic ****3 ^{22 }**

^{ }dimensional modelIt’s very hard to make reconstruction

or neither a 2nd order projection

taking in acount the shape of a ** 3 ^{22}-cube**

**The Arithmetics**

should be the same than for a 81- Cube

but what I could abstract projecting myself

enclosed into a 3

^{22}configuration

is something similar to that:

From outside the

**3**,^{2}**the 2nd**dimensional order,

it looks like that

**6 Tethraedral Pyramids**

(+-X, +-Y , +-Z)

enclosed

**inside a Tesseract**

(SPACE, TIME, ENERGY & MASS)

(

**TETHRAEDRAL PYRAMID)**

^{TESSERA}^{CT}

If we continue over upper dimensional projections

we will understand how complex is **The Cosmos,**

from something managed by **Order**,

starts looking to be managed by **Chaos**

If we continue the abstraction

and we project over more dimensional levels,

**The Cosmos** will ended shaped as** a Toroid.**

In some point, **The Cosmos** collapses

and has a Toroidal behaviour

If we continue,

**The Toroid** encloses itself by layers of dimensional levels

**The Cosmos** reflects** The Mass** and **The Energy**

in an upper level of **The Space** and **The Time**.** The Energy or The Mass **

creates the inside dimension of **The Toroid**

and **The Mass** or **The Energy**

the outside dimension,

enclosing together **The Space ****& ****The Time**** **inside.

All the next dimensional orders

are totally outside of our perception and they enclose **The Dark Matter** and **The Dark Energy**

– **The Cosmos **

is a self collapsed **81-dimensional hypercube**

with a toroidal behaviour

–**The Cosmos**

is a 3rd order dimensional model

based on a collapsed **3 ^{22}– cub**e

–

**The Cosmos**is also

a 2nd order

**12-dimensional**

**model**

**hexeract duoprism,**

**tesseract trioprism**

**hypercube tetraprism**

**square hexaprism**

based on

a

**tetraedral pyramid**

with a toroidal shape

–

**The Cosmos is finite**,

and enclosed inside this toroidal

(3

^{22})

dimensional model

**–**Inside hyperdimensional or relativistic arithmetics,

the shape of

**The Toroid**geometrically means that

**The Source**is:

The Origin (0)

The Singularity (1)

and The Whole (+- ∞ )

The Origin (0)

The Singularity (1)

and The Whole (+- ∞ )

**– There are not indeterminate forms**

inside the hyperdimensional arithmetic

inside the hyperdimensional arithmetic

**model of The Toroid:**

0 / 0 = 1

∞ / ∞ = 1

0 x ∞ = 1

∞ – ∞ = 1

0

1

∞

1 / 0 = 1

0 / 0 = 1

∞ / ∞ = 1

0 x ∞ = 1

∞ – ∞ = 1

0

^{0 = }11

^{∞ }= 1∞

^{0}= 11 / 0 = 1

– We are missing information in our projections,

**The Change**that happens in several dimensions

of The Energy (

**Dark Energy**)

and The Mass (

**Dark Matter**)

That 2 elements,

**The Energy**and

**The Mass**

are not totally inside our perception

cause they are creating the next dimensions

of

**The Toroid**:

**The Time**and

**The Space**

from inside the first order projection

of our 3rd order dimensional model:

the next dimensions of

**The Energy**

and the next dimensions from

**The Mass**

are outside the projection

face of

**Our Toroid.**

**Geometrically it looks**

**like they are 4 dimensions**

of the 12-dimensional model

4×3 = D

_{12}

hexeract duoprism,

tesseract trioprism,

cube tetraprism and square hexaprism

**that doesn’t connect in any of its vertices**

**or faces with our 2nd order dimensional model**

before collapsing into an infinite toroidal surface

based on a

**Tesseract**made by

**Tethraedral Pyramids**

also know as

**Hexadekerac or Tesseract Tetraprism**

a

**16th order dimensional model**

4×4 = 4

^{2 }

=

**D**

_{16}. or 16 – Cube

At the end It’s only possible to understand

that **The Sound**

is a projection of **The Change **in **The Energy** and **The Mass**

over **The Time** and **The Space** inside our planet, **The Earth**.**The Music**

is our perception of the arithmetics from

the** ( 3^{22} )** geometric model of

**The Cosmos**

Maybe there are more dimensions outside

**The Energy**and

**The Mass**.

But until we could find what is over there affecting in different hierarchic levels

**The Energy, The Mass, The Space and The Time**.

we need to call it

**The Change**

**The Sound**

is our hypergeometric projection

from

**The Change**

**The Music**

is our perception from the ratios

of how

**The Change**is encoded and decoded

over the different dimensional orders

*…*

**(δ) (Φ) (ρ)****(ψ)****The Divine Maths & The Great Pyramid**

**The Divine Maths & The Great Pyramid**

ç

**PYTHAGORAS & EGYPT**

(600 – 100 BC)

Pythagorean Tetraktys 1st order

Pythagorean Tetraktys 2nd order

**SACRED MATHEMATICS ***JAPANESE TEMPLE SPHERICAL GEOMETRY*

(1.603-1.867 AC)*Sangaku*

In the last years, **Science** developments are beeing focused

more, more and more on **Cymatics**.

Cymatics is the study of the physical transfer of energy that happens

when an elastic medium (such a liquid, water) is beeing deformed by **The Sound.**

That deformations are related to a subset of modal vibrational phenomena

generating dynamic patterns while shaping the medium boundaries

under what we know as: **“Sacred Geometry”**

Every cell and molecule inside our body

encloses different algebraic (R^{n} ) subset of particles

arranged under an specific geometric shape (**Order**)

But human activities and electromagnetic fields

generated by other humans or machines

tends to corrupt the “perfection” (**Chaos**) of the hypergeometry

inside the cells and molecules,

sometimes by** ionization** (losing some electrons)

and sometimes by

**(dividing particles into 2 groups)**

*polarization*

Not only the physical action of the low frequency sound wave

crossing our skin, muscles, nerves, bones and body,

rearranging the internal shape of molecules

and cells inside The Body is generated by subwoofers

Also the craneal cavity resonance will induce

different levels of brainwave entrainment between the different humans synched into that acoustic stimulus,

the use of an optic stimulus such an stroboscopic light will boost the brainwave amplitude

SInce 2015,

I was doing different experiments with different humans,

measuring relationships of tibetan bowls and tunning forks,

always ending in **(π)** and **(Φ)** ratios.

At the end we could design a table of ratios

of overtone generation for scientific Sound Healing sessions following a similar

approach as Physiotherapy uses with infrasound techniques

There are different 5 different sessions depending the results you want to achieve

Gamma (γ) | 81-35 Hz | Concentration Boost, Problem Solving |

Beta (β) | 12–35 Hz | Mind Activation, External Attention |

Alpha (α) | 8–12 Hz | Reflection Activation, Passive Attention |

Theta (θ) | 4–8 Hz | Relaxation Activation, Internal Attention |

Delta (δ) | 0.5–4 Hz | Deep Relax, Anxiety & Stress Solving |