The Secrets Of Alchemy

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“
(ρ)

“Thanks to Maria de las Mercedes,
my mother, The Origin, my 2nd order projection of The Source“
(Φ)

“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 Lune,
Enrique Jesus (Manrish), Borja Del Pie (Gavio)
Rona Geffen, Stefanie Egedy, Apolline Guedon
Daniel Tebar (SlugoS) , Samuel Castillo
Stanislav Tolkachev, Schacke, Eomac

ONTHOLOGICAL MATHS

“Somewhere between 314/100 and 315/100
we may expect The Number Pi (π) to exist,
though we should never expect to find it”

THEOREM A
E= mC²

^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

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 1
3. Is the perimeter of a triangle with sides 1
4. 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 Sequence
(Silver ratio)
(δ)

The 5 aggregates
SPACE – TIME
Arithmetics
ENERGY – MASS

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/

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.

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 definitions
please 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)

-∞ =+ ∞
0 ≠  1
(Sphere)
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
“The First Scientist”

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

ALCHEMY

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} ^{The Numbers} and _{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

<sup>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</sup>

^{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)
=
(π) x (E_STxyz) / (π) x (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:

∞
3
2 (e)
1 (i)
(ψ) (π) 0 _{(δ) (Φ) (ρ)}
-1
– ∞

All the other numbers you can imagine are
The Tesselations

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

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^(i)x = The Circle
cos _x = 1st order proyection
(i) sin _x = 1st order elevation

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

(ρ)√_(Φ) = 0 = 1

(Φ)√_(δ) = 0 = 1

“The Pattern To The Heaven“

“The Pattern To The Hell“

1 = 0 = (δ) ^(Φ)

1 = 0 (Φ)^(ρ)

*****

“The Source of The Source“
“Ascension Matrix”
Elevation Matrix

“THE MATRIX”
(-∞, 0, 1, +∞ )

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

∞
3
2
1 ⁽ⁱ⁾
_(δ) (Φ) ^(ρ) 0 ^{(π) (e) (ψ)?}
-1
– ∞

C₅
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 axis
and 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 axis
with 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

C₈
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
C₈

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 Cosmos 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 = xⁿ )

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) ^TESSERACT
2nd order projection of a 6th order dimensional model
“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

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/s²

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 / T²

Einstein
“The Energy equals to The Mass times the square of The Space divided by The Time“
E = M x S² / T²

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 S² / T²

“The Energy has
direct lineal proportionality to The Mass
direct quadratic proportionality to The Space
inversed quadratic proportionality to The Time

The 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 The 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 Time
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)
=
(π) x (E_STxyz) / (π) x (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
3²²
dimensional model

It’s very hard to make reconstruction
or neither a 2nd order projection
taking in acount the shape of a 3²²-cube 

The Arithmetics
should be the same than for a 81- Cube
but what I could abstract projecting myself
enclosed into a 3²² configuration
is something similar to that:

From outside the 3²,
the 2nd dimensional order,
it looks like that

6 Tethraedral Pyramids
(+-X, +-Y , +-Z)

enclosed inside a Tesseract
(SPACE, TIME, ENERGY & MASS)


(TETHRAEDRAL PYRAMID) ^TESSERACT

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 3²²– cube

– 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
(3²²)
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 (+- ∞ )

– There are not indeterminate forms
inside the hyperdimensional arithmetic
model of The Toroid:

0 / 0 = 1
∞ / ∞ = 1
0 x ∞ = 1
∞ – ∞ = 1

0^{0 =} 1
1^∞ = 1
∞⁰ = 1

1 / 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 = D₁₂
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 = 4²
=
D₁₆. 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 ( 3²² ) 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

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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 (Rⁿ ) 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 polarization (dividing particles into 2 groups)

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