Posts Tagged ‘void’

About Number and Magnitude

Monday, January 9th, 2012

We have lost the relationship between Number and Form or Number and Magnitude as the Ancient Greeks called their Forms.

A few years ago a Revolution in Mathematics and Physics has started. This revolution is caused by Geometric Algebra.

In Geometric Algebra the Ancient Theories of Euclid and Pythagoras are reevaluated.

Numbers are Scalar (Quantum) Movements of Geometric Patterns and not Static Symbols of Abstractions that have nothing to do with our Reality.

Movements and not Forces are the Essence of Physics.

The basic rule Movement = Space/Time (v=s/t) shows that  Time and Space are two Reciprocal 3D-Spaces. Our Senses Experience Space and not Time.

The Simple Rule N/N=1/1=1 balances the Duals of Space and Time. One Unit Step in Space is always Compensated by One Unit Step in Time.

Geometric Algebra has a strange relationship with Pascals Triangle. This Triangle, also called the Binomial Expansion, contains all the Possible Combinations of two Independent Variables. Our Universe is a Combination of Combinations exploring Every Possibility.

The last and perhaps most important Discovery in Mathematics called Bott Periodicity shows itself in Pascals Triangle.

Bott Periodicity proves that we live in a Cyclic Fractal Universe, the Wheel of Fortune, that is Rotating around the Void, the Empty Set. The Empty Set contains Every Thing that is Impossible in our Universe.

This blog is not a Scientific Article. I have tried to connect the Old Sciences and the New Sciences in my own Way.

It contains many links to Scientific Articles and even Courses in Geometric Algebra.

So if you want to Dig Deeper Nothing will Stop You.

About the One and the Dirac Delta Function

Every Thing was created out of  No Thing, the Empty Set, ɸ, the Void, the Tao. The Empty Set contains 0 objects.

The Empty Set is not Empty. It contains Infinite (∞) Possibilities that are Impossible.

Every impossibility has a probability of 0 but the sum of all possibilities (1/∞=0) is always 1. In the beginning ∞/∞ =1  or ∞x0=1.

This relationship is represented by the Dirac Delta Function. It is used to simulate a Point Source of Energy (a Spike, an Explosion) in Physics.

The Delta is reprented by the Symbol Δ, a Triangle. The Delta is called Dalet in the Phoenican and Hebrew Alphabet. Daleth is the number 4 and means Door.

The original symbol of the Delta/Daleth contains two lines with a 90 Degree Angle. Two orthogonal lines create a Square or Plane.

The Dirac Delta Function is defined as a Square  with an Area of 1,  a Width of 1/n and a Height of n where n->∞.

The Dirac Delta Function is a Line with an Area of 1.

In the Beginning a Huge Explosion took place that created the Universe.

The Dirac Delta Function δ (x) has interesting properties: δ (x) = δ (-x), δ (x) = δ (1/x). It has two Symmetries related to the Negative Numbers and the Rational Numbers.

When we move from 2D to 1D, the Number Line, the Delta Function becomes the Set of the Numbers N/N =1.

The Tetraktys of Pythagoras

The Monad (1) of the Tetraktys of Pythagoras, the Top of the Triangle, was created by Dividing the One (1) by Itself without Diminishing itself. The Monad (1/1=1)  is part of  the 1D Delta Function.

Creation is an Expansion of the 1/1 into the N/N, adding 1/1 all the time,  until ∞/∞ is reached. At that moment every Impossibility has been realized.

File:Dirac function approximation.gif

The Dirac Delta Pulse


To move Back to the Void and restore the Eternal Balance of  the One,  Dividing (Compression) has to be compensated by Multiplication (Expansion).

At the End of Time N/M and M/N have to find Balance in the N/N,  move Back to  1/1, Unite in the 0 and become The Void (ɸ) again.

About the Strange Behavior of Numbers

The big problem of the Numbers is that they sometimes behave very differently from what we Expect them to do.

This Strange Behavior happens when we try to Reverse what we are doing.

It looks like the Expansion of the Universe of Numbers is Easy but the Contraction creates many Obstacles.

It all starts with the Natural Numbers (1,2,3,).

When we Reverse an Addition (Subtract) and move over the Line of the Void Negative Numbers appear. Together with the Natural Numbers they are called the Integers.

The same happens when we Reverse a Division and the Fractions (the Rational Numbers) (1/3, 7/9) suddenly pop up.

An Integer N is a Rational Number divided by 1 (N/1).

The Integers are the Multiples of 1, the Fractions are its Parts.

Numbers behave even stranger when we want to Reverse a Repeating Repeating Addition (Irrational Numbers) and want to calculate a Rational Power (2**1/2).

The Complex Numbers (or Imaginary Numbers), based on the Square Root of -1 called i, are a combination of the Negative Numbers and the Irrational Numbers.

Irrational Numbers ( the Pythagorean Theorem), Fractions (a Piece of the Cake) and Negative Numbers (a Debt) are part of our Reality but the Strange Number i represents something we cannot Imagine.

About the Duality and the Expansion of Space

In the beginning the only One who was in existence was the 1.

When the One divide itself again the number -1, the Complement of 1, came into existence.

1 and -1 are voided in the No Thing, the Empty Set, 0:  -1 + 1 = 0.

The Two, the Duality, both started to Expand in Two Opposite Directions (<– and +->) both meeting in the  ∞/∞. This expansion is what we call Space.

Space is a Combination of the Strings S(1,1,1,1,1,…) and -S = (-1,-,1,-,1,-1,…) where S+S=(0,0,0,0,0,0,…).

The Expansion pattern of Space is a Recursive Function S: S(N)=S(N-1)+1 in which + means concatenate (or add) the String “,1″.

An Addition X + Y is a concatenation of S(X) and S(Y). A Substraction X-Y is a concatenation of S(X) and -S(Y). In the last case all the corresponding combinations of 1 and -1 are voided. (1,1,1,1)-(1,1,1)=(0,0,0,1)=(1).

Multiplication XxY is Adding String S(Y) every time a “1″ of S(X ) is encountered: 111 x 11 = 11  11  11. Dividing X/Y is Subtracting S(X) every time a “1″ of S(Y) is encountered:.111  111  1/111=11 1/111. In the last example a Fraction 1/111 appears.

This Number System is called the Unary Number System.

About the Trinity and the Compression of Space called Time

The Strange Behavior of Numbers is caused by the Limitations of our Memory System. We are unable to remember long strings that contain the same Number.

To make things easy for us we Divide Space into small Parts so we were able to Re-Member (Re-Combine the Parts).

When we want to Re-member, Move Back in Time, we have to Compress Expanding Space.

Compressed Space is Time.

Time and Space have a Reciprocal Relationship called Movement (Velocity = Space/Time).

There are  many ways ( (1,1,1), (1,1,1),..) or ((1,1),(1,1))) to Compress a String in Repeating Sub-Patterns.

In the blog About the Trinity I showed that the most Efficient Way to group the One’s is to make use of a Fractal Pattern (a Self Reference) and Groups of Three Ones.

The Trinity applied to the Trinity ( A Fractal) is a Rotating Binary Tree. Binary Trees represent the Choices we make in Life.

The rotating Expanding Binary Trees generate the Platonic Solids (see linked video!) when the (number)-parts of the Binary Tree Connect.

The Ternairy Number System is represented by the Binary Tree

When we connect Three Ones (1,1,1) by Three Lines (1-1,1-1,1-1) a 2 Dimensional Triangle Δ is Created.

If we take the Δ as a new Unity we are able to rewrite the patterns of 1′s and -1′s into a much Shorter Pattern of Δ’s and 1′s: (1,1,1),(1,1,1),(1,1,1), 1,1 becomes Δ,Δ,Δ,1,1.

We can repeat this approach when there is still a Trinity left: Δ,Δ,Δ,1,1 becomes ΔxΔ,1,1.

This Number System is called the Ternary Number System.

About Ratio’s and Magnitudes

According to EuclidA Ratio is a sort of relation in respect of size between two magnitudes of the same kind“.

A Magnitude is a Size: a property by which it can be compared as Larger or Smaller than other objects of the Same Kind. A Line has a Length, a Plane has an Area (Length x Width), a Solid a Volume (Length xWitdth x Height).

For the Greeks, the Numbers (Arithmoi) were the Positive Integers. The objects of Geometry: Points, Lines, Planes , were referred to as “Magnitudes” (Forms). They were not numbers, and had no numbers attached.

Ratio, was a Relationship between Forms and a Proportion was a relationship between the Part and the Whole (the Monad) of a Form.

Newton turned the Greek conception of Number completely on its head: “By Number we understand, not so much a Multitude of Unities, as the abstracted Ratio of any Quantity, to another Quantity of the same Kind, which we take for Unity”.

We now think of a Ratio as a Number obtained from other numbers by Division. A Proportion, for us, is a statement of equality between two “Ratio‐Numbers”.

This was not the thought pattern of the ancient Greeks. When Euclid states that the ratio of A to B is the same as the ratio of C to D, the letters A, B, C and D do not refer to numbers at all, but to segments or polygonal regions or some such magnitudes.

The Ratio of two geometric structures  was determinated  by fitting the Unit Parts of the first geometric Stucture into the Other.

The Perfect Triangle of the Tetraktys contains 9 = 3x3 Triangels. A Triangle contains 3 Lines and 3 Points.

An Example:  The Tetraktys is a Triangle (A Monad) and contains 9 Triangles (a Monad). The 1x1x1-Triangle Δ, a Part of the Tetraktys,  is Proportional to the Whole of the Tetraktys (T) and has a Ratio T/Δ = 3= Δ -> T = Δ (3)  x Δ (3) = 9.

The Mathematics of Euclid is not a Mathematics of Numbers, but a Mathematics of Forms.

The symbols, relationships and manipulations have Physical or Geometric Objects as their referents.

You cannot work on this Mathematics without Knowing (and Seeing) the Objects that you are Working with.

About Hermann Grassman, David Hestenes and the Moving Line called Vector

Hermann Grasmann lived between 1809 and and 1877 in Stettin (Germany). Grassmann was a genius and invented Geometric Algebra a 100 years before it was invented.

In his time the most important mathematicians did not understand what he was talking about although many of them copied parts of his ideas and created their own restricted version. None of them saw the whole Grassmann was seeing.

When he was convinced nobody would believe him he became a linguist. He wrote books on German grammar, collected folk songs, and learned Sanskrit. His dictionary and his translation of the Rigveda were recognized among philologists.

Grassmann took over the heritage of Euclid and added, Motion, something Euclid was aware of but could not handle properly.

angle between vectors in 2 dimentions

A Displacement or Bivector

Grassmann became aware of the fact your hand is moving when you draw a 2D Geometric Structure. He called the Moving Lines, that connect the Points, Displacements (“Strecke”).

screw theory 2

A Displacement and a Rotation of a Vector

In our current terminology we would call the Displacements “Vectors”.


Vector algebra is simpler, but specific to Euclidean 3-space, while Geometric Algebra works in all dimensions. In this case Vectors become Bi/Tri or Multi-Vectors (Blades).

The Trick of Grassmann was that he could transform every transformation on any geometrical structure into a very simple Algebra. Multi-Dimensional Geometric Structures could be Added, Multiplied and Divided.

The Greek Theory of Ratio and Proportion is now incorporated in the properties of Scalar and Vector multiplication.


Combining (Adding) Bivectors creates a Trivector

About a 100 years later David Hestenes improved the Theory of Grassmann by incorporating the Imaginary Numbers. In this way he united many until now highly disconnected fields of Mathematics that were created by the many mathematicians who copied parts of Grassmanns Heritage.

About Complex Numbers, Octions, Quaternions, Clifford Algebra and Rotations in Infinite Space

Grassmann did not pay much attention to the Complex Numbers until he heard of a young mathematician called William Kingdon Clifford (1845-1879).

Complex numbers are ,just like the Rationals (a/b), 2D-Numbers. A Complex number Z = a  + ib where  i**2=-1. Complex Numbers can be represented in Polar Coordinates: Z = R (cos(x) + i sin(x)) where R = SQRT(a**2 + b**2).  R is the Radius, the Distance to the Center (0,0).

When you have defined a 2D-complex Number it is easy to define a 4-D-Complex Number called a Quaternion:  Z = a + ib + jc + kd or a 8-D Complex Number called an Octonion.

William Rowan Hamilton, the inventor of the Quaternions, had big problems to find an interpretation of all the combinations i, j and k until he realized that i**2 =j**2 = k**2 = ijk=-1.

What Hamilton did not realize at that time was that he just like Grassmann had invented Vector Algebra and Geometric Algebra.

Quaternions are rotations in 4D-space

This all changed when William Kingdon Clifford united everything in his new Algebra.  Clifford’s algebra is composed of elements which are Combinations of Grassman’s Multivectors.

The Clifford Algebra that represents 3D Euclidean Geometry has 8 = 2**3 components instead of 3: 1 number (Point), 3 vectors (Length), 3 bivectors (Area) and 1 trivector (Volume).

It turns out if you use combinations of these elements to describe your geometric objects you can do the same things you did before (you still have 3 vector components).

In addition, you can have additional data in those other components that let you find distances and intersections (and a lot of other useful information) using simple and (computationally) cheap numerical operations.

The most important Insight of William Kingdom Clifford was that the Complex Numbers are not Numbers all.

They are Rotations in higher Dimensional Spaces.

About Pascal’s Triangle and Mount Meru

The String 1,3,3,1 of Clifford’s 3D Geometry is related to the 4th Level of Pascal’s Triangle. Level N of Pascal’s Triangle represents N-1-Dimensional Geometries.

The Sum of every level N of the Triangle is 2**N. This Number expresses the Number of Directions of the Geometric Structure of a Space with Dimension N.

A Point has 0 Direction, while a Line has 2 Directions, relative to its Center point, a Plane has 4 Directions, relative to its Center Point, and a Cube has 8 directions, relative to its Center point.

Pascal’s Triangle is also called the Binomial Expansion. This Expansion shows all the Combinations of two letters A and B in the function (A+B)**N. Level 1 of the Triangle is (A+B)**0 = 1  and level 2 is A x A + 2 A x B + B x B -> 1,2,1.

The Binomial Expansion converges to the Bell-Shaped Normal Distribution when N-> ∞.

The Diagonals of Pascal’s Triangle contain the Geometric Number Systems (Triangular Numbers, Pyramid Numbers, Pentatonal Numbers, ..) and the Golden Spiral of the Fibonacci Numbers.

Pascal’s Triangle is a Repository of all the Possible Magnitudes and their Components.

The Normal Distribution shows that the first level of the Triangle (the Tetraktys) is much more probable than the last levels.

The Hexagonal Numbers

The first four Levels of the Triangle of Pascal contain the Tetraktys of Pythagoras.

The Tetraktys  is an Ancient Vedic Mathematical Structure called the  Sri Yantra, Meru Prastara or Mount Meru.

About Numbers, Operations and the Klein Bottle

The Complex Numbers are not “Numbers” (Scalars) at all.

They are “Operations” (Movements) that can be applied to Magnitudes (Geometries) and Magnitudes are Combinations of the Simple Building Blocks of the Tetraktys, Points and Lines.

The Tao of Ancient China was not for nothing represented by a Flow of Water. According to the Ancient Chinese Mathematicians Every Thing Moves.  In the Beginning there was only Movement.

In the Beginning only the One was Moved but when the Duality was created the Two moved around each other never getting into contact to Avoid the Void.

When we look at the Numbers we now can see that they are the result of the Movements of  the first Diagonal of Pascals Triangle,  the 1′s (Points) or better the Powers of  the One: 1 **N (where N is a Dimension).

Even in the most simple Number System, the Unary Number System, Concatenation is an Operation, An Algorithm.

The Mathematician John Conway recently invented a new Number System called the Surreal Numbers that contains Every Number you can Imagine.

The Surreal Numbers are created out of the Void (ɸ)  by a simple Algorithm (Conway calls an Algorithm a Game) that describes Movements (Choices of Direction: Up, Down, Left, Right, ..)  that help you to Navigate in the N-Dimensional Number Space.

The Ancient Chinese Mathematicians played the same Game with the Numbers.

Algorithms were already known for a very long time by the Ancient Vedic Mathematicians. They called them Yantra’s.


Sri Yantra

Geometry is concerned with the Static Forms of Lines and Points but there are many other more “Curved” forms that are the result of  Rotating Expansion and Compression. These forms are researched by the modern version of Geometry called Topology.

The most interesting 4D Topological Structure is the Klein Bottle.  The Klein Bottle is  a combination of two Moebius Rings. It represents a Structure that is Closed in Itself.

It can be constructed by gluing both pairs of opposite edges of a Rectangle together giving one pair a Half-Twist. The Klein Bottle is highly related to the Ancient Art of Alchemy.

The movement of the Duality around the Void can be represented by a Moebius Ring the Symbol of Infinity ∞.

Later in this Blog we will see why the Number 8 is a Rotation of ∞ and the symbol of Number 8 is a combination of the symbol of the number 3 and its mirror.

First we will have a look at the Reciprocal Relation between Space and Time.

The Klein Bottle, The Universe Closed in Itself, the Basic Structure behind Alchemy.

The Klein Bottle, The Universe Closed in Itself, the Basic Structure behind Alchemy.

About Dewey B. Larson, Velocity and Time

Dewey B. Larson (1898 – 1990) was an American Engineer who developed the Reciprocal System of Physical Theory (RST).

Larson believed that the failure to recognize that Motion is the most basic physical constituent of the universe has handicapped the progress of the traditional study of physics, which focuses on Forces.

The definition of Motion stems from the Equation of Velocity, v = ds/dt.

Instead of depending upon the change of the location of an object to define an arbitrary “quantum” of space per “quantum” of time, such as miles per hour, or meters per second, the RST assumes that the observed universal passage, or progression, of time is one aspect of a universal motion that necessarily must be accompanied by a universal “passage,” or progression, of space.

The Units of Time fill up the Units of Space. Space and Time are Duals.

Space is not-Time and Time is not-Space. Time is Non-Local, Cyclic and represented by the Rotating Imaginary Numbers. Space is Local, Linear and Represented by the Scalar Numbers. Space is the Vacuum and the Nothing and Time is the non-vacuum, the Every Thing, the Solids represented by the Cube of Space.

The Cube of Space is the structure behind the Tetraktys but also behind the Book of Genesis.

Our Reality contains two Reciprocal 3D-structures related to Space and Time. Space and Time are related by the Simple Formula N/N=1/1=1, the Formula of Diracs Delta Function.

We are able to perceive the Real 3D-Structure of Space. The 3D-Structure of Time is Imaginary. It is situated in the Imaginary Number Space of i.


Larson’s Cube, the Geometric Representation of the Octonion.

Larson, a Self Thought Genius like Grassmann, developed Geometric Algebra without knowing anything about Geometric Algebra but he also invented String Theory long before String Theory was invented.  The Mathematics of Larson is also the Mathematics of the Tetraktys of Pythagoras without even knowing anything about it.


The Periodic System of Larson

Larson was able to Calculate all the important Physical Numbers without any problem and was also able to Calculate Chemical Structures and Reactions.

About the Bott Periodicity

The fourth line of Pascals Triangle and the Tetraktys contains 8 Directions in the Four Geometric Dimensions: 0, 1, 2, and 3.

Mathematicians are intrigued with this number 8, because they find it popping up unexpectedly in advanced mathematics.

In fact, expanding the Binomial Expansion to 8 dimensions just creates an inverse copy of these first Four Dimensions, and then the pattern just repeats itself with a half-twist and back from there, ad infinitum.

This is called Bott Periodicity discovered by the mathematician Raoul Bott (1923-2005).

The mathematician John Baez wrote an article in which he relates this 8-fold Periodicity to the Scalars (1), the Complex Numbers (2), the Quaternions (2×2), and the Octonions (2x2x2 = 2**3).

Bott Periodicity

The Universe of Numbers and Magnitudes  is Cyclic and Fractal.

Our own Reality, symbolized by the Tetraktys,  repeats itself in Higher Dimensions until Infinity.

The Tetrad, represents Completion, because it contains all its Previous Numbers, the 1, 2, 3, and itself, 4, in One Number, 10 = (The One) +  9 (= 3 (Trinity)x 3 (Trinity) = Tetraktys).

As you can see in the Picture above the Fractal Pattern of 8 contains two kinds of Trinities/Triangles, an Upside and a Downside (Rotated by 180 Degrees) Triangle. When you Rotate by 180 Degrees the 1 becomes -1 and 1 + -1 =0 is the Void.

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.

The Star of David, the Symbol of Human Center, the Heart Chakra.

The Multi Dimensional Rotations of the Octonions always Come Back to Square 1/1=1, the One and keep Rotating around the Center, the Nothing,   Until Infinity.


About the Tetraktys (1)

About the Tetraktys (2)

About Triangular Numbers and Pascal’s Triangle

About the Empty Set

About the Relationship Between Geometry and Music

About the Trinity

About the Game of the Surreal Numbers

About Larson and the Unification of Mathematics

The Collected Works of Dewey B Larson

About Number and Magnitude

About Ratio and Proportion

About Ratio and Proportion by Euclid

A book of Augustus deMorgan about “The Connection between Number and Magnitude”

The text of the Fifth Book of Euclid

An Educational You Tube Channel called Insights in Mathematics

About the History of Geometric Algebra

About the Sri Yantra

About Geometric Algebra

Free Software to use Geometric Algebra

About Clifford Algebra

About Yantra’s

About Movement

About Topology

About the Digital Root Patterns

About the Heart Chakra

A Video that shows how the Platonic Solids are created out of the Trinity Numbers

All you want to know about Geometric Patterns

About the Sum of Things

Thursday, September 22nd, 2011

The Lo Shu is a Chinese Model for Time and was used to design Cities, Temples, Cycles and Calendars.


The Lo Shu is a 3×3 Magic Square created by Fu Xi, the Founder of Chinese Civilization. Fu Xi lived around the time of the Great Flood.

The Magic Square was carried by a Turtle. The Turtle is the symbol of the Constellation Orion. Many Ancient Cultures claim that our Ancestors came from this constellation. The Square of Lo Shu is also referred to as the Magic Square of Saturn or Chronos (Time).

The Chinese Pollen Path

The Duality of Fu Xi and his Sister, The Snake of the Kundalini contains 3.5 (7/2) Twists. 2x3.5 = 7. 7 = (-1,-2,-3,0,1,2,3).

According to Chinese Creation Myth  the world started with 無極 (wuji: nothingness), the Tao. Out of the Tao, the Egg of the Zero (0) and the Supreme Pure One (1) emerged. In the next step the Trinity (3), the Three Pure Ones, was created.

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).


The Sri Yantra contains 43 Triangels and is generated by the Bronze Mean.

The Trinity is represented by a Triangle. A combination of Two Triangels is a Square. The combination of Two (2) Triangels is also the Symbol of the Heart Chakra, the merge of Heaven, the Upper Triangel and Earth, the Lower Triangel.

The most complex Yantra (“machine”), the Sri Yantra, contains 43 Triangels. The Sri Yantra is determinated by the Bronze Mean. The Bronze Mean is a generalization of the Sequence of Fibonacci based on the Trinity. The Bronze Mean generates Quasi-Crystals and Penrose Tilings.

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.

The Square is a combination of two Triangels. It is represented by the Star of David, the Symbol of the Heart Chakra.

The Lo Shu Magic Square not only shows the Connection between the Four Forces that came out of the Two Forces, Expansion and Compression, it also shows the connection between Heaven and Earth.

In the Magic Square of Lu Shu the Even Numbers (2,4,6,8 = 2 x (1,2,3,4 = 2×2)) are Black(Yang, Male). The Odd Numbers (1,3,5,7,9 = 3×3) are White (Yin, Female). The Sum of all the Numbers is 15 (3×5).

The Even Numbers are situated at the Corners of the Square.

When the numbers of each row are multiplied (8x1x6; 3x5x7; 4x9x2) they together total to 225 ((3×5)x(3×5)) — as do those of the columns (8x3x4; 1x5x9; 6x7x2).

The Magic Square is dominated by two numbers (2**1, 2**2, 2**3)  and (3, 2×3, 3**2), It contains four Prime Numbers (1,3,5,7). It also contains the first Perfect Number 6 (1+2+3 =1x2x3). 6 is also a Harmonic Divisor Number and has a Harmonic Divisor 2. The Sixth Day in the week is the day of Saturn, the God of Time.

The sequence 1,2,4,8, 1, 3,6,9, 27 is called the Tetrad of the Pythagorians and was, according to Plato, used by the Demiurg, the Creator of our Universe, to create the Soul. The Soul is a mixture of the Same (1), the Different (2), and Existence (3). The Tetrad was used to define the Harmony of the Spheres.

When you connect the numbers of the Lo Shu a pattern appears that is called the Seal of Saturn or the Dance of Yu.

The Seal of Saturn or the Dance of Yu

The Sum of Magic Squares is a Magic Square and the product of a Magic Square M with a number a is again a Magic Square aM. Both Rules can be used to construct a Magic Square out of simple Binary Squares called Magic Carpets. One of these Magic Carpets is the Identity Matrix with One on the Diagonal.

Every Magic Square is related by Rotation and Mirroring to Eight other Magic Squares. This means that the central Lo Shu Magic Square with the Five in the Middle is related to Eight other Magic Squares with the other Numbers in the Middle. One of them contains the Nine and is called the Well.

The Lo Shu and the Well

The Sum of numbers of the Well is 18 (2×9) and the sum of all opposites across the 8 Spoke Wheel = 9 (9+0, 8+1, 7+2, 6+3, 5+4). 2×9 means that there are Two Complementary Magic Squares. One Magic Square is Rotating with the Clock and the other Against the Clock.

The Well is an Expansion and Contraction Cycle based on Powers of 2.

The Nine is the most important Number in the Magic Square. The Nine comes back in many ancient mythologies like the Egyptian Pesedjet and the Greek Ennead.

When you add the separate numbers of a number (54 = 5+ 4 = 9) the result is the Remainder when you divide the number by 9.  This number is called the Modulo 9 number.

The Powers of 2 (= Expansion) Mod 9 creates a pattern (1,2,4,8,(16)7,(32)5,(64)1,(128)2,…). This pattern is reversed when we divide by 2 (=Compression) (1/2 (0,5 =5), 1/4 (0,25 = 7), 1/8 (0,125 =8), 1/16 (0,625 = 4), 2,1).

The Expansion and Compression Pattern shows that the same pattern repeats itself when the Magic Square is expanded or compressed Six (6) Times. The 7th Step is the Same as the First Step.

After 2**6=64 (8×8) divisons of the cell a Specialized Cell is created, the stem cell. The same happens in Music.  The Game of Chess (Chiu King in China) with its 8×8 = 64 = 2**6 Playing Board contains every possible situation of the Game of Life.

The Two-Pattern does not contain the numbers 3,6 and 9. The number 9 is repeated every time when the pattern is expanded and compressed which means that Nine is the same as the Identity, the One (1+9 = 1). 3 and 6 Oscillate (1x2x3=6 and 1+2+3 =6) and  therefore represent the Duality (3+6 = 9, = the One).

If we combine the Expansion and Compression patterns a Torus (a Rotating Circle, The Wheel of Time) appears. The Zero (the Void) is in the Center and Contains the Vortex. The Vortex represents another Cycle (Black/White Hole, 3,6,9, the Wheel of Order) in which every structure/pattern is destroyed to start All Over Again.

Lo Shu Torus

If we subtract the numbers in the Square by the number of the Center, 5, a highly Symmetric Pattern emerges. This pattern shows that there are Two Mirror Universes both containing four Forces.

When we transform this pattern from Modulus 9 to Modulus 3 (the Trinity) we see that the number 4 equals 1 and represents a new beginning of the Cycle.






















The Magic Square with the Zero in the Middle is surrounded by two Sequences of 123(4) with different Signs. The Signs are arranged in a Cyclic Pattern (- -, + -, + +, – +) that contains the Four Permutations of – and +. The Sum of the ++ and the — is -3 and +3, the Trinity. The Sum of +- en -+ is the One.

The Cyclic Pattern of + and – represents the Prisoners Dilemma that is solved by the Strategy of Tit for Tat. This strategy is applied by the Trickster, the God of Paradox, a concept of God in which God creates games that create games.

When you use the basic Addition and Multiplcation Rules of the Magic Square many important numbers and patterns  appear that are related to Ancient CalendersSymbols and Cycles.

About the Sum of Things

The Lo Shu Magic Square appeared a few years ago when I wanted to know more about Acupuncture.  Acupuncture is related to the Sheng Cycle and the Sheng Cycle is related to the Lo Shu. A Magic Square is the perfect way to visualize the Constraints that control the Four Forces in our Universe.

Soon after this discovery I found out the Lo Shu is related to the Trinity and the Bronze Mean which is an abstraction of the Fibonacci Sequence. The Bronze Mean generates the Sri Yantra and so called Quasi Crystals. Quasi Crystals explain Acupuncture.

A few weeks ago I started a discussion with Kim Veltman. Kim Veltman is the director of the Maastricht McLuhan Institute. He is researching Ancient Architecture and wrote a very interesting document called “Alphabets, Elements and Cosmologies”.

Ancient Alphabets are related to Numbers and Tones so Ancient Texts also represent Numerical Patterns and Music. You want be surprised to read that the Lo Shu showed itself in every Text Kim Veltman has analysed.

His document started a new inquiry into the pattern of the Lo Shu. During this research I detected the book “the Sum of Things” by Paul Martyn-Smith. Paul Martin-Smith worked together with Lee Burton.

This blog contains just a litte bit of the tremendous amount of information Paul Martin-Smith & Lee Burton have found about the essence of the I Tjing which is contained in just one simple 3×3 Magic Square.

If you want to know more the only thing you can do is to buy this book and start reading.


About the Book “the Sum of Things” (Free Download)

About the I Tjing

The Calculations  behind the Number of Things

The Relationship between the Lo Shu and the I Tjing

About the Lo Shu Torus

About Saturn, the Son of the Sun

About the Trickster

How to construct Magic Squares out of Binary Squares (Magic Carpets)

The Sistine Chapel (Rome) and the Seal of Saturn

About the Relationship between the Lo Shu and Music

About the History of the Lo Shu

About the Wheel of Eternal Order and the Wheel of Time

About the Relationship between the Lo Shu and Chinese Alchemy

About the Great Flood

About the Orion Myth

About Plato, Pythagoras and the Lo Shu

About the Nothingness

About the Trinity

About the Heart Chakra

About the Sri Yantra

About the Lo Shu Magic Square and the Chinese Domino Game

About the Mirror Universe

About Acupuncture

About Tit for Tat

About the Prisoners Dilemma

About the Bronze Mean

About the Sheng Cycle

Everything You want to Know about Sacred Geometry

About the Influence of the Lo Shu on Recent Art

The Lo Shu Square with Imaginary Numbers

There is only the Dance

Saturday, October 23rd, 2010


Shiva the Hindu god of destruction is also known as Nataraja, the Lord of the Dance. Like yoga, dance induces trance, ecstasy and the experience of the divine.

The most common figures depict a four-armed Nataraja. These multiple arms represent the four cardinal directions. Each hand either holds an object or makes a specific mudra (gesture).

The upper right hand holds a hour-glass drum which is a symbol of creation. It is beating the pulse of the universe. The drum also provides the music that accompanies Nataraja’s dance.

The opposite hand, the upper left, bears on its palm a tongue of flames. Fire is the element of destruction of the world. It is also the symbol of passion.

The second right hand is held in the abhaya pose (without fear) and so a gesture of protection. It depicts the god as a protector.

The left leg is raised towards the right leg and reaches across it; the lower left hand is stretched across the body and points to the upraised left foot which represents release from the cycle of birth and death.

The hand pointing to the uplifted foot is held in a pose imitative of the outstretched trunk of an elephant. In Sanskrit this is known as the ’gaja-hasta-mudra’ (the posture of the elephant trunk), and is symbolic of Ganesha, Shiva’s son, the Remover of Obstacles.

Nataraja dances on the body of a dwarf apasmara-purusha, the man of forgetfulness, who embodies indifference, ignorance and laziness.

Creation is possible only when the weight of inertia is overcome and suppressed. The Nataraja image thus addresses each individual to overcome complacency and get his or her own act together.

The ring of fire and light, which circumscribes the entire image, identifies the field of the dance with the entire universe. The lotus pedestal on which the image rests locates this universe in the heart or consciousness of each person.

The hands of Shiva represent the Human Faculties of the Imagination (Creation, Spirit, Vishnu), Control (Destruction, Thinking, Compression, Shiva), Desire (Agni, Fire, Sensing &Acting, Expansion) and the Emotions (Soul, Ganesha, Motivation, Removing Obstacles).

Vishnu, the Holy Spirit



Humans need the “Illusion of Control” to sustain their Identity. Deep within they don’t want to believe that Other Human Beings or the Forces of Nature (“the Acts of God“) are also Active Agents.

The Imagination creates the Identity, the believe that I Am What I Am.

When we are in Deep Meditation, the Observer, the Consciousness, is able to watch the constant popping up of  Images (Ideas) out of the Nothing. 

If we are not able to keep the Observer-state, we move into the Sleep of the Darkness or our Senses are attracted by one of the Images  and move into the Dream State.

According to Buddist belief the Dream State, (Maya, Not-That) is Not the Real Word.  This world is hidden behind a veil. Behind the veil lies the Void.

The Void is not empty. It is comparable to the Zero-Point-Field, the state of the Universe before the Big Bang. In this state everything,  even the impossible,  is possible.

In the Void, Ideas of the First Creator (Brahman) Pop-Up, Move into Existence for a while and finally disappear. 

For a very long time Brahman was in deep meditation until one of the Ideas of Brahman created a Huge Excitement. This was the Idea to become Aware of Itself.

To make this happen Brahman had to spit itself into two parts, the Observer (Being, Consciousness) and the Actor (Becoming, Desire, Acting).  

Maya, the Material World,  the Expanding Universe, was created when the Desire to become Aware generated the first Split of the Universe, the split between the Void and the Not-Void, the Whole.

At this moment the Left Brain and the Right Brain of Brahman are fusing and soon we all will experience the Whole which is not the Void. The Void will stay a Mystery for Ever and Ever.




Ganesha rides a mouse, the symbol of mankind’s ignorance, his hidden fears and insecurities and his deep attachment to petty worldly objects.

By riding on the mouse, Ganesha shows that one can and must control and overcome all negative feelings. One can be the master of oneself and need not be a slave.

The head of Ganesha, the Elephant,  symbolizes the Atman, the Soul  and his human body signifies Maya.

Our “Head” or better our Soul is connected to the Void,  but our Body is an Expression of the Non-Void.

Our Body is part of the Material World and has to obey the Rules of the Material World.

Ganesha represents the Emotions, the Motivation, the Rotation, that started when Maya started to expand. When an Elephant is In Motion it is able to remove all obstacles.  

An Elephant is Part of a Herd that needs a Shephard (Vishnu, the Imagination) to find Its Way.

When an Idea pops up in the Imagination it moves the Wheel of the Emotions and the Body want to realize the Idea in the Material World.

Agni, the God of Fire



Agni brings about growth, expansion, ascension, and transformation. It is the fire hidden in earthly things which rises out of them to heaven beyond.

Fire is the symbol of agni. The quality of fire is to spread itself. Because it spreads itself in every direction, it is present everywhere. Even though it spreads in all directions its motion is always upwards. It carries everything that it consumes and purifies, upwards.

If the motivation to realize the idea is there,  the Fire of Agni is lighted and the Human becomes passionated.

If you are  not able to control your passions you will become Addicted to the idea and the idea will never be realized.

Shiva, the Destroyer



Shiva is the Destroyer. He wants to bring everything back to the void.  The Fire of Agni is able to expand the orginal idea to exceptional proportions.

At a certain moment Shiva stops the Fire and takes over Control. The idea is simplified,  put into a plan and is finally on its way to the Material World.

The Cycle Moves On

But the Creative Energy is already busy to generate new Ideas. If this happens,  the orginal plan is adapted and adapted (“scope creap“) and will never be realized.


About Emptyness

About the Fusion of the two Minds of Brahman

About Ma’át, the Egyptian Shiva

About Good and Evil

About the Illusion of Control

About Addiction

Why you need an Obstacle to become Excited

About Scope Creap

About the Good, the Bad and the Nothing

Monday, July 5th, 2010

Sometimes You want do the Good Thing and the result is a Bad Thing.

Sometimes You start an Activity with a Good Intention but the Activity runs completely Out of Hand because You were unable to Predict all the effects.

Sometimes an Activity starts with a Good Intention and Ends with a Good Result but much later You discover that you have started a Chain of Activities and the Result of the Chain is Bad.

Good and Bad are Context Dependent.

Look at this little Story:

A Chinese farmer awoke one morning to find a horse grazing in one of his fields. Since nobody came to claim the horse, the farmer used it to plow his uncultivated land. “What a good this horse is for you,” said his neighbor. “We’ll see,” said the farmer. Soon after, the farmer’s 18-year-old son was riding the horse when it shied at a snake. The youth fell off and broke his leg. “What an evil this is for you,” said his neighbor. “We’ll see,” said the farmer. Soon after, the warlord’s agents combed the village, conscripting young men for his army. Because of his broken leg, the farmer’s son was not taken. “What a good this is for you,” said his neighbor. “We’ll see,” said the farmer.

The Devil in the TAROT

The Tarot Card the Devil: The Devil, the God Pan, is the Force of Desire. On the Card we can see that Humans are able to Lift the Chains of Desire.

About the Golden Rule of Ethics

The big problem is that we attach a Value to the Intentions or the Consequences of an Activity and this Value has just two Names named: “Good” or “Bad“.

When the E-Valuation is “Good” we Feel Good. When the E-Valuation is “Bad” we feel Anger, Sadness, Guilty, Depressed or Worse. The Names of the Evaluation trigger the Emotions Deeply.

Most of the time we feel Guilty without any need to feel Guilty because we are not in Control of Everything that Happens.

The Ego, our Identity, is not able to stand the Lack of Control it has on the Outside World.

Humans need the “Illusion of Control” to sustain their Identity. Deep within they don’t want to believe that Other Human Beings or the Forces of Nature (“the Acts of God“) are also Active Agents.

The Science that is trying to define the Good and the Bad is called Ethics.

Ethics is the Philosophical Study of  “the Moral Value of Human Conduct and of the Rules and Principles that ought to govern it” or “the principles concerning the distinction between Right and Wrong or Good and Bad Behavior’

The most important Rule of Ethics is the so called Golden Rule : ” We should do to others what we would want others to do to us” or “do not do to others what you would not like to be done to you“.

The Golden Rule of Empathy and Forgiving is the most important Ethical Rule in many Cultures all around the World.

The Golden Rule uses the Principle of Self-Reference. Something is Applied on Itself.

When we apply the Principle of Self-Reference to the Bad, we move into the Domain of Lady Justice.

Lady Justice

Lady Justice: An Eye for an Eye (Revenge)

About Justice and Revenge

When Bad People don’t want to use the Good Golden Rule some cultures use the Rule “An Eye for an Eye” (Revenge) to do Justice to the Bad Ones. When you do Bad to a Person, the Bad Behavior is Applied to Yourself. “Eye for an eye” is used to make Bad People Aware of the Good Golden Rule.

The interesting point is that the combination of the Golden Rule and the “Eye for an Eye“-Rule  (called Tit-for-Tat) is the best way to solve the Iterated Prisoners Dilemma, a Chain of Conflicts.

Strangely enough The Good (now called Cooperation)  is Accomplished when you just Imitate the Behavior of the Others.

There is One (fatal) Exception to the Strategy of Tit-for-Tat. If you want to operate On Your Own and You think You don’t need the Others to Survive the best Way to Operate is to Betray Every Body. Bad Behavior provides you with a Huge Economic Win but also with a  Huge Social Loss.

When you Betray the others, You have To Protect Yourself for the Revenge of the Others.

To Compensate your Social Loss You have to Buy the Others (Lawyers, Mercanaries, ) or (worse) you have to Force the Others with Violence to Cooperate with You.  In the first Case you lose a lot of Money and in the last case the Amount of Revenge increases exponentially.

To Survive you always have to Balance the Social (“the Other“) and the Economic (“the Ego“). The “easy way’ is to do the Good and the “difficult way“ is to do the Bad.

Cooperation is a highly Effective and Efficient Method to accomplish the Good for Your Self and the Others because Good Behavior attracts Good Behavior and Bad Behavior attracts  Bad Behavior.

Seven Virtues

The Seven Virtues

About the Seven Virtues.

To do Good or to do Justice you have to Apply the Same to the Same because The Same Attracts the Same.

The Same not only Attracts the Same. The Same Repels the Not-the-Same.

The Same Law:  ”Look-A-Likes Like Each Other and Repel the Organisms that are not looking alike” (called Genetic Similarity Theory) also explains Evolution. This rule was detected by Charles Darwin when he wanted to explain the huge amount of Cooperation in Nature.

When you Apply the Same to the Same (Self-Reference) it generates a Fractal Structure in which the Same Structure Repeats Itself on Every Level (“As Above, So Below“).

It Looks Like there is a Universal Moral Law that explains  Behavior on Every Level of the Universe.

Some Scientists believe the Moral Laws are Eternal Truths. This believe has a long History that goes back to Ancient Rome (Cicero), Ancient Greece (Plato, Socrate) and Ancient Egypt (Ma’at).

During the Renaissance (“Rebirth“) the Moral Principles of Rome, Greece, and Egypt were reborn and transformed into Moral Systems based on the Four (Prudence, Justice, Temperance and Fortitude) or the Seven Virtues (The Four Virtues & Faith, Hope and Love).

When you understand and apply the Universal Moral Laws you use the Virtue of Prudence (Wisdom, Knowledge).  To Apply the Golden Lesson you need to have Courage and a Strong Will, the Virtue of Fortitude. When you keep the three Virtues (Wisdom, Justice and Will) in the right Balance you are practising the virtue of Temperance.

They last three virtues are derived out of the First Letter to the Corinthians written by Paul:

“If I speak in the tonguesof men and of angels, but have not love, I am only a resounding gong or a clanging cymbal. If I have the gift of prophecy and can fathom all mysteries and all knowledge, and if I have a faith that can move mountains, but have not love, I am nothing. If I give all I possess to the poor and surrender my body to the flames,but have not love, I gain nothing.

Love is patient, love is kind. It does not envy, it does not boast, it is not proud. It is not rude, it is not self-seeking, it is not easily angered, it keeps no record of wrongs. Love does not delight in evil but rejoices with the truth. It always protects, always trusts, always hopes, always perseveres.

Love never fails. But where there are prophecies, they will cease; where there are tongues, they will be stilled; where there is knowledge, it will pass away. For we know in part and we prophesy in part, but when perfection comes, the imperfect disappears. When I was a child, I talked like a child, I thought like a child, I reasoned like a child. When I became a man, I put childish ways behind me. Now we see but a poor reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known. And now these three remain: faith, hope and love. But the greatest of these is love”.

Balance of Ma'at

The Golden Rule of Ma'at (Forgiving and Empathy)

About the Temperance of Ma’at

Ma’at (later  named Sophia ) was one of the (3×3) Nine Egyptian Neteru . She represented the Virtues of Truth, Balance, Justice, and Order. Just like Lady Justice she uses a Scale.

The dead person’s Heart was placed on the scale, balanced by the Feather of Ma’at. If the Heart weighed the same as the Feather of Ma’at, the deceased was allowed to go on to the Eternal Afterlife and gained Immortality (Heaven).

If the deceased had been found not to have followed the concept of Ma’at during his life (if he had lied or cheated or killed or revenged) his heart was devoured by a demon and he died the final death and was Reincarnated (Hell).

The Human,  the Talking Baboon,  had to start all over again to Learn and Apply the most important Golden Lesson of the Universe.

The way of Ma’at was to Act out of the Center of Conscioussness, the Heart. Acting out of the Heart is called the Virtue of Love.

Ma’at was also the God of Balance, Rythm and the Cycles. The Good and the not-Good moved the Cycles of the Universe.

The Good and the not-Good came out of the Same Source, the Void, the Sekhem, the Source of Infinite Potential and Love.

The Tree Faces of Shiva

The Tree Faces of Shiva (Creator, Destructor and Brahman (Void, Love, Infinite Potential))

About the Trinity of the Mind

In the Eastern (Gnostic, Egyptian, Indian, African, Mystic) Believe System the Good and the Bad are both created by the Demiurg (or the Logos, “In the beginning was the Word and Word was God“) one of the Creations of the Void. The Void exists outside our Level of Existence. The Void is a Mystery.

The Good and the not-Good, the Bad, are Complementary Opponents. Their Union is the Whole. They Share the Void, the Empty Set. The Empty Set contains Everything that is Impossible.

The Good and the Bad Move the Cycles of the Universe. They represent the E-Motions (Expansion (Desire, Creation) and Contraction (Control, Destruction)) of the Void.

The Good and the Bad Cooperate by Competing to bring the Lonely Souls back to the Void.

The Good, the Creator, and the Bad, the Destructor, are Two Faces of the Same Entity, the Spiritual Trinity, who came out of the Nothing.

The connection with the Void can be found in the Middle (the Golden Mean) of the Body, the Heart, the Link between the Triangel of the Material World (the Body) and the Triangel of the Spiritual World (The Mind).

The Heart, the connection with the Void,  is the Seat of Consciousness. It is also the Seat of the Emotions (Soul).

When the Heart Weights like a Feather, the Upper (Mind) and the Lower Trinity (the Body) connected by the Emotions are in Balance.

The Bad and the Good are Attractors. When the Attraction becomes too High you get Addicted to the Bad or the Good. A huge Expansion is compensated by a huge Contraction to Balance the Cycle. When you want to avoid the Pain of Contraction you have to Balance your Life.

The Two Triangels with the Heart in the Middle are the Same As the Seven Chakra’s (2×3+1) and the Seven Virtues of the Renaissance.

The Seven Chakra’s together with the Spiritual Trinity are Similar to the Tree of Life, The Egyptian Pesedjet/Neteru and the Jewish Sephirot (3×3+1).

The Seven Chakra's

The Seven Chakra's

About the Trinity of the Body

When Body and Mind are in Balance, the Ideas of the Spiritual Trinity are received by the Trinity of the Mind and are Implemented by the Trinity of the Material Body in the Material World (Earth).

When the Mind is not connected to the Body and the Spirit, the Ideas become Abstractions (only Words) or the Impulses of the Desire of the Body Takes over Control.

When the Mind is not connected to the Spirit Innovation stops and Old Ideas (the Seeds) Repeat Themselves All the Time. The Human becomes a Machine Caught in the Wheel of the Good and the Bad.

The One, the Spiritual Trinity, who is The Void, the Good (the Creator) and the Bad (the Destructor), uses the Strategy of Tit-for-Tat, the Trickster.

The Trinity Imitates the Behavior of the Humans or We the Humans Copy their Behavior (“We are made in the Image of God“)!

The One wants to make the Humans Aware of the Fact that the only way to Survive the Infinite Chain of Conflicts (Dilemma’s, Contradictions), which is Life, is to Cooperate (Live out of the Heart) with the Infinite Potential, the God of Love.


The Big Implosion

About Destruction

The Golden Rule of Ethics tries to avoid the Negative Emotions, the Emotions of Loss. It wants to Create a situation were Everybody is Happy.

The Golden Rule of Ethics helps a lot to Evaluate our Intentions and the Consequences of our Intentions but the effect of our Collective Actions on the Bigger Structures is almost Unpredictable.

It would help a lot if we could Expand our View from the Emotional Human Other to “all the Other Life-Forms” that are in Existence.

In this case we have to Understand the Effects of our Behavior on the Negative Emotions of the Bacteria, the Plants, the Animals, Earth and even the Universe.

It is not clear if our Emphatic System is able to Imagine the Inner World of the other Life Forms.

If the Act of Destruction is felt the same by all these Organisms it will be simply impossible to Live.

We have to Destroy Others to stay Alive.

The Universe Destroys to Stay Alive.

The Destruction of the Old is needed to Create the New.

At this moment we are confronted with a World-Wide Crisis on many Levels of Existence. The Collective Behavior of the Human Race is Destroying our Environment.

The Collective Desire to Create and Expand has reached the Limits of the System we Live in.

It is almost impossible to Control this Expansion. The Control Systems have also reached their Limits.

The Two Complementary Forces, The Good and the Bad, Expansion and Contraction, Desire and Control,  have both reached their Outer Limits.

If they both reach the Limits the Expanding Balloon of our Outer Universe will Explode in Itself (Implode) and move through the Void to another State. There is Simply no Space Left to Expand.

If this happens the Expansion of the Outer World will be Transformed into an Expansion of the Inner World.

The Big Bang, the Big Explosion, the Sublime Act of Creation, will Repeat itself and the Big Implosion will Create a New Universe.

The Flow of Time

The Flow of Time

About Not-Acting

Wu Wei (Not Acting, Acting without Effort) is an important concept of Taoism.

When you want to apply this concept you have to Know Everything There is to Know about the Cycles and the Forces of Nature. Wu Wei is only possible when you have aquired the Knowledge and the Wisdom of Ma’at/Sophia.

Most of the Time the Power of the Cycle is so Strong that it is impossible for Us to influence the Flow of Time.

Sometimes on a Rare Moment on a Special Place the Cycles can be Influenced.

Only at that Special Magic Moment the Human is able to do the Good or the Bad.

At all the other Moments History Takes its Course. The Good and Bad Forces, the Acts of God, Act without our Consent on the Higher Levels of Our Universe. It is a Waste of Time and Energy to Oppose these Forces.

Most of the Time we are Pushed by the Forces of Nature. We Act without Effort.

In Ancients Times the Forces were called Gods, Angels or Devils. At this moment we Name these Forces with Different Names (Gravity, the Strong and Weak Force and the Electro-Magnetic Force) but the Effect of the Forces on our Field of Existence stays the Same.

At a Magic Moment Everything, even the Impossible, is Possible. At such a moment we are ”in Tune with“  the Empty Set, the Void, the Sekhem, the Tao, the Field, the Love, the Mystery, the Unspoken.

The Emotions of Loss are created when we Lose Something.

If you Own Nothing You have Nothing to Lose.

If you Expect Nothing, Every Thing will Happen.

When people see things as beautiful,
ugliness is created.
When people see things as good,
evil is created.

Being and non-being produce each other.
Difficult and easy complement each other.
Long and short define each other.
High and low oppose each other.
Fore and aft follow each other

Therefore the Master
can act without doing anything
and teach without saying a word.
Things come her way and she does not stop them;
things leave and she lets them go.
She has without possessing,
and acts without any expectations.
When her work is done, she takes no credit.
That is why it will last forever

(Tao Te Ching,  Chapter II)


About Game Theory and Ethics

About Cybernetics and Ethics

About Social Balance Theory

About Addiction

How to Resolve a Conflict

About the Seven Virtues

About the Illusion of Control and other Human Biases

About Morality and Ethics

About Ethical Dilemma’s

About Tit-for-Tat

About Tit-for-Tat and World Politics

About Genetic Similarity Theory

About the Renaissance

About Ma’at and the Measure of the Heart

About the Nine Egyptian Concepts (the Neteru)

About Plato and the New Harmony

About Socrate and the Golden Rule

About the Demiurg

About the Mystic Experience

About the Heart

About the Void

About the Sekhem

About the Trinity

About the Trickster

About Old Fashioned Thinking

Monday, December 21st, 2009

Many thousands of years ago human life was a far different experience to that which we enjoy today. Life for our ancient forefathers was a mixture of wonder and fear.

aboriginalsThe interesting point to notice is that the human body has not changed since the old days. The things that have changed are our environment and our language.

We see objects our ancestors could not see and therefore we talk about concepts our ancestors were not aware of.

Although our concepts have changed the way we think has not changed.

Thinking is a bodily process. Our muscles talk and our brain processes a huge amount of data.

Current science is able to look into the living body to observe the process of thinking. Scientists think that thinking has a lot to do with seeing. A picture paints a thousand words when the objects (nouns) and the relations (verbs) between the objects are named.

Our ancient ancestors saw other ancestors, animals, rivers, mountains, trees, plants, stars, the sun and the moon. Nature was all around them and Nature was the source of their reasoning.

When you look at nature for a long time you come aware of all kinds of patterns. The Sun rises and disappears every day. The Moon shows itself in the same stages. The plants and the animals act according to these patterns. Observing Nature during day and night generates a theory of Nature and because Nature is cyclic the ancient theory of nature was a cyclic theory.

moonOur ancestors observed short and long term cycles with their eyes and created a theory of everything just like the current scientists are trying to do.

The human has not changed and his ability to define and verify a theory has not changed also.

In our time we have developed highly advanced instruments to probe in the big and the small structures of Nature. We are able to look at the beginning of the Universe and we are able to look at the very small structures of Matter.

Just like our ancient ancestors we use the data of our new eyes, the instruments, to formulate a theory. The big question is if our theory looks a lot different from the theory of our ancestors.

The images our eyes detect are interpreted by the rest of our body. Sometimes we look with our Imagination (Daydreaming, Fantasy). Sometimes we look with our Emotions. We love or dislike what we see.  Sometimes we look with our Expectation and see what we want to see  (Verification) or don’t want to see (Falsification). The objective instruments of science project our subjective theory, our belief-system, upon our reality.

Many people would say that we have advanced in our knowledge of our reality. They believe history is a progressive process. It always moves up because we are learning all the time.

Sri Yantra Temple

Our ancestors would say that history is a cyclic process. It moves Up and Down. Civilizations rise and disappear. History repeats itself all the time.

The proof of their theory is visible everywhere we go but we ignore the evidence. We, the Western people, believe our civilization will stay for ever because our supreme technology is able to solve every problem we will encounter.

The ancient people used different symbols, concepts and names to describe what they observed. We, the Western people, don’t spend much time to understand their theory because our theory of history proves that it is a waste of time to look back and learn from their experience and their comparable thinking process.

The most advanced theory of Physics is called String Theory. It was based on the so called Beta Function of Euler which describes the behavior of the string of a violin. The people that started the quest for the ultimate theory of physics highly believed in the harmony of the spheres, a concept promoted by the ancient scientist Pythagoras. Pythagoras was educated at the university of Heliopolis in Egypt.

Interesting enough the most promising variant of String Theory is called Loop Theory. It supposes that strings make close loops around flat surfaces called Branes. Just like our ancestors the creators of String Theory strongly believe in the concept of the closed cycle and there is a reason for this.

The simple reason is that you have to close our Universe somewhere. Our Universe is very big but there is a horizon, an end of the Universe, which is expanding into the nothing.

The smallest particles we can imagine also have a boundary and this boundary is closing the particle. Closing a system needs something that is closed in itself, a circle, a cycle or every other concept that returns in itself.

ouroborosOne of the most important ancient concepts of closure is the Ouroboros. It represents a snake that is eating itself. If you imagine the eating snake you will see that this snake compresses itself into a point and finally disappears into the nothing.

The modern mathematical term for the ultimate vanishing point is a Singularity, a hole in space and time, sometimes called a black hole.

A black hole is really the entrance to the singularity. It attracts matter in our space while the white hole ejects matter in a different space. The Ouroboros disappears but comes back in another world and starts to expand again. Modern theory supposes that our Universe has expanded out of the Singularity and will move back into this singularity, just like the concept of the Ouroboros is showing.

The ancient concepts are not of our days but they describe the same theory in a completely different way because the old scientists where using Nature as the Source of their concepts.

If the old scientists came with a comparable theory using different terms the big question is how they did it. They could not use the Large Hadron Collider to observe the small and the Hubble Telescope to observe the big. Their only instrument was the eye.


As Above, So Below

The ancient scientists used the rule “As Above, So Below” to make things easy for them.

If the old scientists would be asked to explain this statement in our terminology they would certainly make use of the concept of recursion. Recursion shows itself in the Russian dolls that contain dolls that contain dolls. The ancient scientist believed that the same rules repeat on every level of the Universe.

They also believed that every system is closed in itself. The Big Structures are connected to the Small Structures.

The point of positive Infinity is connected to the point of negative Infinity. The Up, the Down, Forwards and Backwards move around in a pattern called the Moebius Ring (the Symbol of Inifinity). In higher dimensional space this pattern transforms into the Klein Bottle, the basic structure behind Alchemy.

If you understand one level you understand every level.

In 1982, Benoît B. Mandelbrot formulated the same theory in his book The Fractal Geometry of Nature. In this book he coined the term “fractal” to name his recursive structures. At this moment many important physicists are convinced we live in a fractal universe.

The theory of the fractal universe implies that when you observe carefully with the human eye on our level of existence you are able to formulate a theory about every level of the Universe.

The old scientists went a little bit further and stated that our Inner Universe is also an expression of the Outer Universe (“As Within, So Without”). They united physics and psychology in one Theory of Everything.

Carl Gustav Jung (1875-1961) was a follower of the famous Sigmund Freud until he met Wolfgang Ernst Pauli (1900-1951). Wolfgang Pauli was a genius and devoted much of his time to Physics. In 1945 he received the Nobel Price for Physics. At that time Albert Einstein called him his intellectual successor.

Wolfgang Pauli started to visit Carl Jung around 1930. At that time his life was in a terrible mess and Jung started to analyze his dreams just like Sigmund Freud had told him to do.

The Dream of the World Clock

The Dream of the World Clock

Jung detected many ancient themes in the dreams of Pauli. One of the most famous dreams of Pauli is the dream of the World Clock“. This dream is a modern version of the dream of Ezekiel and the Tetramorph.

The dreams of Pauli were highly related to the hermetic alchemists of the Renaissance (John Dee, Robert Fludd, Paracelcus).  The alchemists based their theories on the Ancient Egyptian Knowledge of Heliopolis.

Pauli and Jung started a life long collaboration to explore the bridge between the Inner World of Psychology and the Outer World of Physics.

Jung was also highly interested in what was called the Pauli Effect. Wolfgang Pauli’s life was full of strange and meaningful occurrences of Telekinesis. Objects in the surroundings of Pauli started to lift without any physical explanation.

Finally Jung and Pauli were convinced that the Dream World, the Unconsciousness, was the primal source of inspiration. They also believed that this highly unknown part of the inner world of the human being was able to affect the outer world by producing meaningful signs. The telekinetic effects of Pauli were created by his own Unconsciousness.

They even believed that the force behind human creativity, Spirit, created and sustained the outside material world of our senses.

Pauli was one of the creators of a weird theory called Quantum Mechanics. The predictions of this theory were verified with the instruments of science and proved to be right all the time. The theory was weird because it detected a strange duality in physical reality. Light showed itself as a particle and a wave at the same time.


Male (White) and Female (Black) with the Black and White Hole

To explain this duality scientists moved far back in history and adopted the ancient Yin/Yang-concept as an explanation. This concept describes a constant cyclic movement of the Universe between two opposites, called Female and Male. When the two opposites are combined they are voided into Nothing. The three parts, Male, Female and the Void were called the Trinity.

The scientists of Quantum Mechanics proved that it was possible to influence this duality by the human mind of the observer when the two complementary parts of the mind unite and are voided. This happens when the human meditates or moves into trance.

In the meditative or trance state the brain resonates and entangels, becomes One, with the Electro-Magnetic Waves of Mother Earth, the Shumann Resonance, and the Waves of Life of the Universe.

In the strange terminology of Quantum Mechanics this state is called a Quantum Superposition and the union of the waves is called Quantum Entanglement. Quantum Entanglement moves with a speed much higher than the Speed of Light.

Sometimes the fragmented Tones of the Universe unite into one Symphony when the Strings of the many Violins are in Tune. Pythagoras, trained in ancient Heliopolis, explained the same thing a long time ago.

To explain Quantum Mechanics the scientists had to assume that our Universe is not the only Universe that is in existence. To solve the paradoxes they created the concept of the Parallel Universes. The only bridge between these universes is the Hole in Time/Space, the Singularity, which was there before the Duality came into existence.


The Symbol of the Heart

The old scientists agreed on the number of seven parallel Universes. They are a combination of two Trinities, the upside Triangle of the Spirit and the downside Triangle of the Material World.

They called these Universes Heavens and Hells with our Universe, the Universe of the Heart,  in the Middle.

They believed that the Shaman could travel between these universes in Space and Time with the help of his Light Body.

They also believed that the Human Soul, the Light Body, travels these universes in between the time of reincarnation.

In our Western World the Great Spirit of Creation is something many people consider a very old fashioned concept. The funny thing is that at this moment the new scientists introduce the same concepts the ancient scientists were using but with a different name. The modern Material Universe and the old fashioned Spiritual Universe are merging. The only thing we don’t want to accept is that the source of our creation could be a conscious being.

The discussion about Human Consciousness is a very complex discussion. The main reason is that scientists don’t agree about the concept itself.

Consciousness is often confused with Intelligence. Intelligence is the ability to be creative, to find simple solutions for complex problems. Consciousness is the ability to be aware of your own actions. We need our Consciousness to learn from our mistakes. We need our Intelligence to create new solutions to make new mistakes to start learning again.

The Celtic Cross with the Four Forces and the Center, The Void, in the Middle.

The Celtic Cross with the Four Forces and the Center, The Void, in the Middle.

Most people believe that Humans are the only organisms on earth that are Intelligent and Conscious. They accept the possibility that somewhere in our huge universe a comparable situation exist where extraterrestrials live. This possibility increases with the day because our highly advanced instruments are now able to detect comparable planets orbiting comparable suns in the galaxy.

The big problem is still the speed of light. According to the relativity theory of Einstein this speed is the maximum speed to travel space. Our possible companions in the universe are so far away that will be impossible to communicate with them.

Our advanced science is solving this problem too. At this moment scientists believe that the singularity now called a wormhole could make it possible to shorten the distance in space. If they are right space/time-travel will be soon a fact of life.

Some people believe animals are Intelligent and Conscious. They feel that their cat or dog or horse looks and acts a lot like the human being. Because of this believe they treat their pets just like human beings.

Scientists are already able to construct artificial humans and pets.  They are convinced it will not take a long time to produce artificial human beings that are not distinguishable from the normal human being.

Scientists are desperately trying to define a difference between a conscious and intelligent machine and a conscious and intelligent human being and they are not succeeding at all. Soon they have to admit that their experiments with artificial life show that consciousness and intelligence are the properties of a fractal system.

ancient game

The Game of Life is played on the Square

The old scientists already believed that our universe is a highly intelligent conscious fractal machine put in motion by a creator to experience all the possibilities of his own potential. The creation machine, the Matrix, gave the creator the opportunity to experience itself, to become fully conscious.

We, the Humans, are an enfolding of the Creator into a deeper level of existence. We are not created by his image we are in his image. If we look deep in the mirror of ourselves we are able to see the creator.

The old scientists even believed they had broken the code of the software of the creation machine and therefore could become an immortal being, the creator of a new parallel universe, themselves.

Consciousness is created when the self encounters the self by a short or a long feed-back loop.

If this is true the Cycles are there to become aware of the machine and to break the code of the software of the machine to become a fully creative entity. When the self encounters and accepts the mirror of the self they merge into the nothing, the state of the Universe before the singularity came into existence.

The Mystery

The Mystery

The ancient scientists did not believe that the state of the Nothing was not existent. They believed that the primal state of creation was pure potential. It was a highly fluctuating state called the zero-point-field by our scientists and the Mystery by the old scientists. The zero-point-field generates everything that is possible.

It produces mysteries, things we cannot imagine, because we as parts of the enfolding are unable to imagine every thing that could exist. Our bodily pattern recognizer, the Brain, is not capable of doing this. Imagining every thing would turn our brain into a state of pure madness.

Madness and sickness is a state of the body ancient and modern humans have experienced through history. This state has many names in our current highly specialized society. The old scientists believed that Spirit was able to help people to become sane and healthy again.

They believed in independent conscious beings with a positive and a negative attitude. The Trinity and its many enfoldings on different levels (Archangels, Angels) could be asked to erase the negative powers to let the love of the Spirit heal the body and the soul.


The Four Humors, the Four Forces of the Inner World

The ancient scientists named the force that heals the Force of Life. They believed in four other forces called the Four Elements (Air, Fire, Earth and Water) with the Force of Life, the Void, in the Center.

The first two Forces, Male and Female, are part of the first Trinity, the Spiritual World. Male and not-Male are voided in the Void. They are opposites just like expanding space, Gravity (Fire, Heaven) and not-expanding, compressing, space, the Strong Nuclear Force (Earth). Its main job is to hold together the subatomic particles of the kernel of the Atom. In the beginning God, the Void, created the Heavens and the Earth.

On the second level of Enfolding of the Trinity, the Material World, four combinations of Male and Female are possible. Two of them (Male/Male = Male, Gravity, Female/Female = Female, the Strong Force), are part of the Spiritual World and repeat their existence in the Material World.

The two other forces, the Electro Magnetic Force (“Let there be light”) of Life and the Weak Force (Radioactive Decay, Darkness) of Death are a mixture of both Male and Female and are therefore oscillating forces. They are compressing and expanding and therefore look like waves (Water and Air). These forces are also voided in the Void which shows that the potential of the Void, the Force of Life, is available at every level of existence.

The ancient system of Physics was a highly logical, mathematical system just like our current theory of Physics is. It contained just two concepts expansion (Female) and compression (Male) and showed that the spiraling vortex of creation was a repeating combination of the Expansion of just two simple dynamic concepts that were in a balance all the time. They knew that in the end everything would be Compressed to return to the Mysteriouss creator, the Void, the State of Infinite Potential.


Sri Yantra, the Machine that generates the Matrix

The ancient scientists used the terminology of Nature to explain their theory to the masses. They also used highly abstract geometric theories to calculate the movements of the levels of the fractal universe. These theories were only available for the initiates of their secret societies.

The main reason was that they were afraid of misuse of the power of their knowledge. Science was not only related to the game of invention but it was also a state of mind. Ethics, Physics, Art and Religion were expressions of the same fractal structure of the Universe, that originated out of the Love, the Attraction of the Void,  the First Creator, for his own Mirrors.

The force that heals is still there and science is again on the verge of the rediscovery of ancient practises. The weird science of Quantum Mechanics proved the power of the mind and the force of life returned when the Mystery of the Void was transformed into the zero-point-field.

The power of the mind explains the placebo-effect feared by scientists who want to cure the body with chemical structures that exist on a very low level of the enfolding of the fractal universe. The pharmaceutical industry is using conscious entities (chemical forces) with little power while the powerful forces of the Archangels are still there.

The believe of the scientists in the healing power of nature itself has disappeared. They wanted to beat Nature with brains that are part of Nature itself. They wanted to beat their selves instead of uniting the male and female parts of their brains to become whole again.

This blog is a chapter of a new book I am writing together with Steven Strong about the ancient knowledge of the Aboriginals. According to their stories one part of humanity decided a long time ago to stay close to nature.

trickster raven

The Trickster in the Dream of the World Clock

In the dreamstate they saw the consequences of the steady increase of dominance of technology when the humans would start with agriculture. They believed Nature would take care of them when they lived according to the Dreaming. I think they were right.

The move from hunter/gatherer to farmer produced the advanced civilizations of the World. Everyone of these civilizations did not survive the strange behaviors of Mother Nature, the Trickster, also called the Demiurg, represented by the Raven in the World Clock of Pauli.

I also think they forgot one thing. They forgot that the Cycles of the Wheel of Fortune of the Matrix we live in are a Machine that moves Back and Forth. It move far away from the Void into the Darkness to return back into the Light of the Mysterie.

The ancient scientists could calculate the short and long cycles of history and predicted a new Golden Age. They incorporated the predictions in their stories, buildings and artifacts. They knew that their scientific ancestors would try to explain their weird theories.

They knew that one day ancient science and modern science would converge because the cycles predicted that.

They knew that independent minds would return in every step of the cycle to repeat the same story again and again with different words and different concepts. They knew that history repeats itself all the time.

The only thing that is left for us is to take the consequences of our current understanding of our Universe.

Do we want to fight Nature with our technology until Nature fights back to create a new balance or do we want to return to the old knowledge of the Aboriginals and start again to cooperate with our Mother Earth.

The choice is yours.


About Pythagoras

About the Logic of Creation

Monday, October 12th, 2009
The Big Bang Inflation Field

The Big Bang Inflation Field

The Way the Universe was Created has generated an ongoing discussion for more than 6000 years. In this Blog I give you a way to solve this problem with the use of Logic.

When we use Logic you will see that the concept of Creation out of Nothing leads to a Strange Contradiction.

This Contradiction looks a lot like the Zero-Point-Field of Quantum Mechanics.

The theory of Quantum Mechanics is a Statistical Theory. Statistical Theories are an approximation of a Theory.

Behind this approximation lies a hidden structure called the Tree of Life. The Tree of Life is an expansion of the first Creation, the split of the Void.

Perhaps the most important conclusion of this blog is that what most people call the Spiritual World is really the Material World which can be explained by Mathematics and Physics.

The only part of our Universe that is truly Spiritual and is without any Duality lies outside our Universe. This Part, The Void,  prevents Our Universe for Total Annihilation.

To describe the process of Creation out of Nothing we have to define the Void (Ø) and the Whole (○). The Void is the Empty Set. The Empty Set is a Set with Zero Members. An example is the Set of months with more than 31 days. In this case the Empty Set is the result of an impossible selection.

The Tao is like a well:
used but never used up.
It is like the eternal void:
filled with infinite possibilities.

It is hidden but always present.
I don’t know who gave birth to it.
It is older than God.

The empty set is not the same thing as nothing. It is a set with nothing inside it. In Logic there is no concept that describes “nothing”. We have to assume that there was something in the Beginning and that something is the Empty Set.

The Empty Set contains everything that is impossible.

In the Beginning an impossible selection was not possible because there was nothing to select from. This means that in the Beginning the Empty Set was the only Set in the Universe.

In the beginning the only thing that was possible was the impossible.

The Void is the Opposite of the Whole. To define the Void and the Whole we have to make use of a Distinction.

A Distinction is something that divides a Set into Two parts, X and its Opposite not-X (Yin/Yang).

A Set  that is divided into Two Parts Suddenly contains Four parts A, not-A, the Division and the Set itself (the Whole): Yin, Yang, Yin AND Yang (Division), Yin OR Yang (Whole).

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

X and not-X have only the Void in common. When we bring the two sets together they become Nothing just like the combination of Matter and Anti-Matter results in the Annihilation of Both Parts and the production of a Photon (“Light”) and Kinetic Energy (Movement). To avoid annihilation Matter and Anti-Matter have to Stay Apart.

The Fusion of Matter and Anti-Matter produces Light

The Fusion of Matter and Anti-Matter produces Light and Movement

When you Fuse the two parts X and not-X the Whole appears again. In the Beginning there was Nothing to Fuse and the commonality of the Empty Set with its Opposite, the Not-Empty Set, the Whole, was the Empty Set. In the Beginning the Whole was the Empty Set because there was only the Empty Set.

All is possible when emptiness is possible.
Nothing is possible when emptiness is impossible.

Nagarjuna, Chapter 24 verse 14 of the Mūlamadhyamakakārikā

In Logic the commonality of two sets is represented by the term “and”. The fusion of two sets is represented by the term “or”. The not is represented by the symbol “~”. Using these Symbols we can write down the “laws of Logic” as follows:

Ø = ~○

X and ~X = Ø

X or ~X = ○

At the beginning of the beginning, even nothing did not exist (Chuang-tse)

At the Beginning the Universe was the Void and the Void was the Whole.

This implies the following:

Ø and ~ Ø = Ø

Ø or ~ Ø = ○

Ø = ~ Ø

Form is no other than emptiness; emptiness no other than form (Diamond Sutra)

The First Distinction in the Universe is the Choice between Distinction (~ Ø) or Non-Distinction (Ø). The Choice between the two is the Whole (Ø or ~ Ø = ○). Non-distinction is the state of Union of Every Thing in the Universe. The Union of Every Thing is No Thing at all.

There is in reality neither truth nor error, neither yes nor no, nor any distinction whatsoever, since all — including contraries — is One (Chuang-tse)

The One. . .is there before every oneness amid multiplicity, before every part and whole, before the definite and indefinite, before the limited and the unlimited. It is there defining all things that have being, defining being itself. . .It is there beyond the one itself, defining this one. (Dionysius)

The One transcends all antithesis, rises above all relation, is pure from all duality (Proclus)

Everything is of the nature of no thing (Parmenides)

The Tao that can be told is not the eternal Tao. The name that can be named is not the eternal name. The nameless is the beginning of heaven and earth. The named is the mother of ten thousand things. These two spring from the same source but differ in name; this appears as darkness. Darkness within darkness. The gate to all mystery (Lao Tzu)

In the Beginning when the Laws of Logic, the Logos, came into existence two Empty Sets were produced, the Empty Set and its Opposite, the Not-Empty Set. In the Beginning the Void was not the Void.

In the Beginning the Void has Negated Itself. This Negation started the Proces of Creation out of Nothing.

By Negation itself the Void created a deep Passionate longing to move back to the Sea of the Nothing.

The One is a Negation of Negations (Meister Eckhart)

The not-Void has a choice (Ø or ~ Ø). One choice is to merge with the Void (Ø and ~ Ø) and return back into Emptiness. The other choice is to avoid Annihilation. In this case the not-Void, ~ Ø, has to stay apart from the Void, Ø. Therefore the Not-Void, ~Ø, has to Move Away from the Void, Ø.

Gravity Waves

Gravity Waves

When this happened The Not-Void transformed from the State of Being into the state of Becoming and started to Rotate and Expand in a Spiraling motion. The Moving Void, the Second Distinction, Expanding Space, was created. When the Second Distinction was created the Void came to Rest but to keep the Balance of the Void, Not-Expanding, Compressing Space, Ø and ~ Ø, came into Existence too.

Expansion (The Strong Force) has to be compensated by Compression (Gravity) to bring the Universe back to the Void. The amount of Time this will take is dependent on the Power, the Potential, of the not-Void when it was disconnected from the Void. When the Potential of the disconnection is small, the Void and the Non-Void will merge soon and start a new process of disconnection to solve their Eternal Contradiction.

Expanding Space (Ø or ~ Ø ) and ~ Expanding Space(Ø or ~ Ø) = Ø

Gravity and The Strong Force  = Ø

Gravity or The Strong Force = ~ Ø

The whole process of logical reasoning from the Void to Space/Time is based on a Contradiction that occurs when we define what happens when Logic (Consciousness, the Two, the Self and the Observer of the Self) came into existence (“In the beginning was the Logos“) and the Void was the Whole.

When we look at the current theory of creation called the Big Bang Theory we find the same contradiction formulated in a different way.

The Gravitational Singularity

The Gravitational Singularity

In the theory of the Big Bang the Void that is the Whole is called a Gravitational Singularity (GS). A GS is a situation where the current laws of Physics break down because one of the variables moves to Infinity. When such a contradiction happens scientists know there is something wrong with their theory.

In the Big Bang Theory, the Universe is compressed (moved back in Time) into an extremely small space, a point, a singularity, and is therefore infinitely hot.

The Void that was the Whole, Empty Space, is extremely cold (0 degrees Kelvin). This condition is called the Zero-Point-Field. It is the State of the Universe that was there before the Big Bang.

According to Quantum Mechanics, the Zero-Point-Field, the Vacuum State, is not truly empty. It contains fleeting electromagnetic waves and particles that pop into and out of existence. It is not strange to define this popping up of No-Thing by the statement: ~ Ø = Ø (Sometimes there is nothing and sometimes there is not nothing).

The only thing we have to look for is the reason why the State of Rest of the Zero Point Field was disturbed. The answer of this question is simple: “It just happens“. A statistical fluctuation can be very small or very big.

Shiva and Shakti Create the Universe

Shiva and Shakti Create the Material Universe

In the Beginning the Quantum Fluctuations of the Zero Point Field, the Phoenix,  generated a huge Fluctuation represented by a “Cosmic Orgasm (Shiva and Shakti made Love)” and a real particle, a Photon (“In the Beginning was the Light“), came into existence. This Single Photon, One Wave of Light, bouncing against the expanding walls of the Universe, was enough to Create the Whole Universe.

Quantum Fluctuation is a Statistical Theory. Statistal Theories don’t explain the Universe. They are an approximation of a deeper structure we still don’t know. The ancient scientists used a metaphor out of Nature to explain this deeper structure. This metaphor was called the Tree of Life.

When we use Logic, the first step in Creation generates a Trinity. This Trinity consists of Gravitation (Expansion), the Strong Force (Compression) and the Void, the Empty Set. The concept of the Trinity with different names comes back in every Ancient Religion.

The Tao produced One; One produced Two; Two produced Three; Three produced All things (Lao Tsu, Tao Te Ching, 42).

tree of life

The Tree of Life

The first Trinity is the Top of a structure called the Tree of Life. This structure can be found in almost every Ancient Culture.

The Tree of Life consists of Nine Concepts with the Void (10=0)  at the top. The Nine Concepts of the Tree of Life are created by Multiplying the Trinity by the Trinity (3×3 =9 + the Void = 10 = 0).

The duality (-1,1) is represented by two Trinities (-3,-2,-1,0,1,2,3) with the Void in the Middle. In this case the Pattern of Seven appears.

The real enfolding  is created when we apply the Trinity to the Trinity. In this case the sequence becomes 1, 1, 4 (1+ 3×1), 13 (1+3×4), 43 (4+3×13), the Bronze Mean.

Every number in this sequence represents an important Stage in the enfolding of our Universe and has its own Mystical Meaning (The Void, The Duality, the Four Forces, The Zodiac (with the Sun in the Center), The Sri Yantra (The Kingdom)).

The fractal patterns moves deeper and deeper into the Material World, father away from the Beginning, the Void. At this moment our Universe contains fourty-two levels.

At some point (43) the pattern of enfolding will finally reach the Kingdom and the pattern will reverse and moves back to the Void. From that moment  we will move backwards in Time.

When you apply the Trinity to the Trinity you use a principle that is called Self-Reference. In modern mathematics this principle is called a Fractal and the theory associated with Fractals is called Chaos Theory. Fractals play a very important role in the new String Theories of the Universe.

It is possible to generate the many levels of the Universe out of one Fractal Pattern, the Trinity. In modern Physics one of the candidates for the Fractal Pattern of the Universe is the Sierpinski Triangel. This fractal pattern generates the well known Mystical Geometries and is based on Trinities.

Physics and Mystics show that Our Universe and every part of it (including the Human Being) are part of the first Trinity that came out of the non-Void, the negation of the Empty Set that came into Being.


The Second Trinity Brahmā, Vishnu, and Shiva is created out of Brahman (The Void)

If the Void and the Trinity are concepts that represents the concept of God, we are all part of the enfolding structure, God, the Not-Void.

One part of God, the “Real Void“, the Mystery (Brahman), is not part of our Universe. It stays outside to prevent total annihilation of Every Thing.

We cannot understand The Mystery because we cannot Reason, don’t have a Distinction, about the Beginning of the Beginning. It lies Outside our System of Understanding called Logic. The only thing that is left for us is to Experience and Keep Silent.

Gravity is the root of lightness; stillness, the ruler of movement (Lao Tsu, Tao Te Ching, 26).

The Void is also the power that Attracts every part of our Universe. The farther away we expand from the Void the stronger the Strong Force becomes. At a certain point in Time this force will force us to Move Back. When this happens the Compression of the Universe, back to the Void, cannot be stopped. When we move Back, Time will be Reversed.

The Universe Closed in Itself

The Universe Closed in Itself

In the End the Spiral of Enfolding will be Closed in Itself and the not-Void will merge with the Void. At that moment the State of Stillness of the Zero Point Field will be restored waiting for a new Fluctuation to occur. The Universe is Breathing. It is recreated time after time until the Void and the Non-Void finally fuse into the Nothing, the Mystery.

“If we then become children, would we thus enter the kingdom?” Jesus said unto them, “When ye make the two one, and when you make the inside like unto the outside and the outside like unto the inside, and that which is above like unto that which is below, and when ye make the male and the female one and the same, so that the male no longer be male nor the female female; then will ye enter into the kingdom.”

(Gospel of Thomas, Logion 22).

When we look at the Logic of Creation we can see that the only part of Our Universe that is Truly Spiritual is the Void. The Not-Void and all its expansions are part of the Material World (Maya) that can be explained by Mathematics and Physics.

The Void, the Infinite Potential with Infinite Possibilities, lies Outside our System of Reasoning and is Nameless, Formless and not Dividable. It is truly One.

We are Nothing but a Rare Fluctuation of the One, who is the Void.


About the Mathematics of Distinctions of Spencer Brown

About Boundaries

About Boundary Mathematics

About the Tree of Life

About the Void and Atman

About the Seven (3-1-3) and the Nine (3×3)

About the 42 Levels in the Fractal Universe

Why Time is a Chain of Nows

About the Holy Trinity in Mathematics

How to create Mathematics out of the Void

Why Quantum Fluctuation could have created the Universe

How the Universe was created out of one Photon

About the Heart Chakra

Monday, February 23rd, 2009

NadisThe term Nadi comes from the Indian word for movement. The approximately 72.000 Nadis comprise a vast network of transport channels of the Force of Life in the Human Body.

The channels connect into 7 Major and 21 Minor Centers, called Chakras (Wheels). The Heart Chakra is in the Middle connecting The Spiritual and the Material World.

The amount of Nadi’s, Minor (21) and Major Centers (7) is not By Accident. The Enfolding of the Universe is based on a Pattern that is governed by the number Three (The Trinity).

The number 22 (21 + the Whole) divided by 7 stands for the number Pi which relates to Square of the Four Forces of the Human (Imagination, Control, Desire and the Emotions) to the Cycle of the Movement of the Force of Life through the Seven Chakra’s.

When the Four Forces are not in Balance the Cycle of the Chakra’s gets out of Balance. This Unbalance of the Chakra’s can be restored when we use the Middle of the Seven Chakra’s, the Heart Chakra.

When We Act out of the Heart the Wheels of the Chakra’s never get out of Balance.

Later in this Blog I will explain You more about the Heart Chakra and the Pattern of the Triangels.

The First Thing I want to do is explain the Relationship between the Old Knowledge of the Chakras and the Recent Knowledge about the Influence of the Electro-Magnetic Field on the Body.

As you will see the Old Scientists knew more than the New Scientists. The only thing that is different is Language. We have to translate Old Mystic Terminology into New Scientific Terminology.

As the Force of Life (Chi, Prana) moves through the Channels, it makes the Wheels of the Chakras Spin. The Chakras are the power stations in our body. They pump Excess Energy out of their environment or Attract energy from other power centres to keep their own cycles running.

There are three major Nadis. The Left-Side Channel Ida (Mind) and the Right-Side Channel Pingala (Body). The Third Major Nadi (Sushumna, the Self) moves inside the Spinal Chord.

The three nadis originate at the Base Chakra at the end of the Spinal Chord, the Filum Terminale, and move up into the Top Chakra right above the Head (the Crown).

Most Scientists consider the Indian theory of the Nadis and the related Chinese theory of the Meridians a very old fashioned theory without any proof in current science.

The most important reason is that nobody is able to explain the Force of Life (Chi, Prana).

The connective tissues in our body contain collagen, which makes up 70% or more of all the proteins of the connective tissues. The collagens in the body comprise a vast network of transport channels of Electro-Magnetic Energy.

CollagenCollagens are rope like liquid crystals that have dielectric and electrical conductive properties that are very sensitive to electromagnetic fields.

The electrical properties of collagen depend on the bound water molecules in and around the collagen’s triple-helix.

If the Nadis and the Meridians are the Collagen Ropes in our body than Chi or Prana could be the Electro-Magnetic (E/M) Force.

According to some scientists the Chi-field is a so called Scalar-Field, a Standing E/M-Wave.

A Standing Wave or a Stationary Wave preserves its Structure or Form in Time. They can be easily observed in Water (Surfing) and Air (Music) but Electro-Magnetic Waves can behave in the same way. We can even visualize the Body as a Standing Wave.

When we imagine the Human Body as a Wave instead of a Particle it becomes much easier to explain a lot of phenomena. The Human seen as a Wave is constantly interacting with many other Waves in the Universe including the Body Waves of the Other Human Beings.

One of the most interesting experimentors with Electro Magnetic Scalar Fields was the weird genius Tesla. He called the Chi-Field Radiant Energy. Our E/M-field is heavily influenced by outside E/M-Fields (Sun, Moon, Power Stations, and Mobile Network) and the E/M-Fields of Other Organisms.

The First Triangel, the Trinity, emerged out of the contradicting rotation of the split of the Void. When the two moving Parts connected they became the first Self, the Creator.

The Creator repeated the same process and the second Triangular Self, the Kernel of the Atom, was born. The Kernels of the Atoms are connected by the Electro-Magnetic Field. Electrons move from Kernel to Kernel.

The Atom repeated the process of Self-Replication. It splitted and combined Itself into the many Physical and Chemical Triangular structures of the Material Universe.

In the complex chemical structures the Electrons are taking care of the communication between all the different parts.

Every step in the Process of Creation is a vibratory center that rotates with a different Frequency in a different Pattern.

triskeleThe First Trinity, a Flat Elliptical Frame, was rotating with a frequency faster than 10-43 second.

The Second Trinity, the Kernel of the Atum, rotates with a lower frequency and follows the path of a 3-dimensional Threefold Moebius Ring, the Triple Helix represented by the Celtic Triskele.

When many Atoms are combined into a Big structure like our Body the Cycle time of One Rotation of the Self slows down. The fastest cycle time in the body is 40 Cycles per Second, the Gamma Wave, the cycle of human consciousness.

The human cycle is entrained to many other outside cycles like the Sun and the Moon Cycle.

If a Full rotation of the Self is not possible the Self splits Itself in many (more or less) independent Sub-Cycles.

One of the most important splits is the split between the Trinity of the Self, the Mind (Up, Sky, Spirit, Left Brain) and the Body (Down, Matter, Earth, Right Brain). This Split is managed by the Ida/Pingala/ Sushumna Nadis.

The Seven Chakras are the result of the Enfolding of two Triangels. These triangels are the enfolding of the primary Triangel also called the Holy Trinity. In this way our universe consists of triangels in triangels in triangels in …At this moment we can determinate 42 levels of enfolding.

The Upper Triangel is the Trinity of the Father, the Spiritual World. The Lower Triangel is the Trinity of the Mother, Atom, the Material World, Earth.

The two Trinities are connected in the Middle by the Heart Chakra. The Middle of the Seven contains the connection to the center of the First Trinity, The Void.

limbicThe Human Brain consists of the Reptile Brain (Body), the Limbic System (the Heart, the Soul) and the Neo-Cortex (Spirit).

The Reptile Brain controls the Triangel of the Atom.It manages instinctual survival behaviors.

The Limbic System, The Heart, is the seat of the Emotions (Attraction, Avoidance).

The last part, the Neo Cortex, is connected to the Upper Triangel. It is responsible for Higher-Order Thinking Skills and Speech.

The Heart Chakra, the Soul, is the connector of the Spiritual Trinity, Mind, and the Material Trinity, the Body. The Heart Chakra is the boundary between the world of multiplicity and the world of unity.

The Heart Chakra is the Grail, the container that holds together the Physical and Spiritual worlds and acts as the transformer between the two.

The Heart Chakra, the Middle of the Seven (-3,-2,-1,0,1,2,3), the Gate to Heaven, opens the Door to the Seat of Pure Consciousness, the Cosmic Center, the Sacred Heart of Jesus, the Pleroma, the Void, the Place where inside and outside merge and become one.

HeartChakraWhen the Heart is only connected to the Material World, the Reptile Brain generates Jealousy, Fear and Ambition.

When the Heart is only connected to the Spiritual World, the Mind will create Illusions and leave the Earth. The Human Voice will Utter highly abstract sentences.

When the Heart is connected to the Upside Triangel of Spiritual World AND the Downside Triangel of the Material World, the Mind will give Clarity and the Love of the Spirit will guide the way.

Before you embark on any path ask the question: Does this path have a heart? If the answer is no, you will know it, and then you must choose another path. A path without a heart is never enjoyable. You have to work hard to even take it. On the other hand, a path with heart is easy; it does not make you work at liking it. The path without heart will turn against men and destroy them. It does not take much to die, and to seek death is to seek nothing“.

Carlos Castaneda – The Teachings of Don Juan

Go sweep out the chamber of your heart.
Make it ready to be the dwelling place of the Beloved.
When you depart out, He will enter it.
In you, void of yourself, will He display His beauties.

Mahmud Shabistari – Rose Garden of Mystery


The Relationship between the Nadis and Collagen

How the Body acts as an Antenna

About Liquid Crystals

About the Chi-Field

About the Void

About the Mathematics of the E-Motions

Monday, February 9th, 2009

The Emotions show themselves in the Feeling Component (Anger, Happiness) and the Bodily Expressions (Smile, Cry).

The Emotions are researched by many not communicating highly disconnected parts of Science (Psychology, Biology, Chemistry, Marketing,..). Therefore Science is unable to understand the Whole of the Emotions.

The Scientists don’t agree about the main components of the Emotions and the relationship between these components. They use different terms to talk about the same thing and use the same terms to talk about different things.

To understand the Emotions I want to stay out of Language and focus on the Mathematics of the Emotions. When we have understood the Mathematics we can find the right Words to name the concepts we have discovered.

I believe the Emotions were created in the First Step of Creation. At that moment, the Void, the Singularity, was splitted into Two Complementary Parts.

The first two parts of the creation have to Stay Apart. If they join they are voided and creation will stop. To avoid voiding they move around each other in a contradicting direction (with the clock, against the clock).

When two parts move around they create an elliptical (egg-like) curve. This curve contains a virtual center, the Center of Mass. This Center, the Third Part, is also moving.

During the Second Step of Creation the Kernel, The Trinity, the Atom appears. The Kernel is a Cyclic Pattern, a treefold Moebius Ring, of the Two Complementary Parts and the Center of Gravity now called Quarks.

The Kernel, the Self, is surrounded by a cloud of rotating Electrons, the Others. The Atoms combine into more complex Selfs (Molecules, Organisms). The Electrons, The Others, exchange information between the Selfs.

I hope you see that the Elliptical Cycle and other, more complex, Cycles are the Emotions.

The Emotions Are the Movement.

Every Object in the Universe takes part in a Cyclic Process. Sometimes this Cyclic Process has a very simple structure, a Circle, and the same Events come back all the time.

When this happens Life feels like a Merry-Go-Round. When the same Patterns comes back all the time the Human gets frustrated and the Negative Emotions appear.

When the pattern becomes more complex, Life is full of Surprises, and the Emotions change into Hope and Joy.

The Human Cognition is unable to handle unpredictable patterns. At that time the Expectation, the Calculator of the Future, fails and the Self loses the feeling of Control.

During their Cyclical Movement the Two and later the more than Two parts move towards each other (Like) and away from each other (Dislike).

They Attract and Repulse, are in Love, want to Unite, but just before they reach the perfect Union, the Void, they Move Away from each other and the Cycle Starts All over Again.

When Two Masses are Not Equal the rotating system changes its shape. When one of the masses is big (the Kernel) and the other is very small the center of gravity almost coincidences with one of the Parts.

The Earth appears to move in a circular motion around the Sun but in reality the Sun is also moving around the Earth.

The Human Emotions are determinated by the relationship between the Self and the Other(s). The Self and the Other(s) are circulating around each other and a virtual center, the Center of Gravity, their Relationship.

Everything Moves around Everything.

When The Self or the Other becomes too Big, the Shape of the Cycle changes. In this case the Self circulates around the Other (“Dependency”) or the Other circulates around the Self (“Dominance”).

To sustain a Relationship the Mass, the Weight, the Importance, the Value of the Parts has to be in Balance.

What are the Human Emotions?

The Human Emotions are the combined effect of many sometimes highly complex movements, Waves, in the Universe.

The Waves influence the Chemistry and the Electro Magnetic Field of the Body.

When the Chemistry of the Body changes Chemical Messengers are send to Balance the Body with the changes of the Outside Field. At that moment we start to Act and feel an Emotion (Fear). Later we rationalize this Action.

What Influences the Emotions?

I hope you see that the Human Emotions are influenced by Every Level of the Universe. They are influenced by the Big Structures (Gravity, The Moon) and the very Small Structures (the Electro Magnetic Field).

The most influential structure is the Human Self, the Mind. The Human Self is only able to stay It-Self when the connection with the Others in the Universe is in Balance. If this is not happening the Body starts to detoriate. The Kernel falls apart.


The Physics of Two Rotating Bodies

A Video about Two Rotating Bodies