Archive for the ‘Mathematics’ Category

About Alchemy

Wednesday, December 10th, 2008

alchemyWhen I studied Chemistry at the University of Leiden I wanted to learn more about “Ancient Chemistry“.

At that time I really did not understand the Symbolism behind Alchemy. This changed a few years later when I encountered Jung. Suddenly Alchemy moved to the Social Sciences.

At this moment I am convinced modern Mathematics and Physics are exploring the same issue Jung and many others Alchemists were exploring.

The Material World and the Spiritual World are both based on the same principles. They only operate on different Levels.

When you understand one level it is not so difficult to map this level to another level. The real big problem is to map the simplicity of the parts to the complexity of the Whole.

Human understanding is based on our Imagination. When you are not capable to visualize the Parts and the Whole you are lost. The old Alchemist understood this problem and they produced many visual metaphors to help the explorer of the Spiritual Domain.

ouroborosThe most important unifying concept in Alchemy is represented by the Snake Ouroboros. The Snake is “Eating Itself“.

When you try to imagine what is happening you will understand that the Snake will be spiraling inwards until it simply vanishes.

You also could imagine that the Snake appears again in another “space” where it starts to spiral outwards until it moves back to our reality.

By “eating itself” the Snake is “compressed” into what is now called a “singularity” (A Black Hole).

klein bottleIn the other (Imaginary) world the Snake expands and spirals through another hole (A White Hole) back into Our Reality.

The Imaginary Universe is the Twin Universe of Our Universe.

If the Imaginary Universe is represented by the Complex or Imaginary Numbers there is also an In-Between or Joint Universe.

This Universe existst in a higher dimension. We are able to experience the Real Part of the Numbers. Our Twins only see the Imaginary parts.

The aim of the process of Alchemy is to move through the singularity to another Space/Time. In this Space/Time you are “immortal”. This Space/Time is the Imaginary World of Mathematics, the Complex Plane.

holy weddingTo Reach the World of Immortality You have to Unite the Opposites. Alchemy uses many Metaphors to show how this is accomplished. One of them is the Holy Wedding. In the Holy Wedding the Male and the Female Unite.

It is very important to understand what the Alchemists meant with the Male and the Female. Of course the first interpretation is simply the Human Male and the Human Female.

In this case the Holy Wedding is a sexual metaphor. The Male and the Female Unite when they have Sexual Intercourse.

In Sacred Sexual Intercourse, Tantra, something called the Kundalini, the Serpent Power, is activated.

Awakening the Kundalini without a good Preperation (Psychological Cleaning) and a Good Guidance is very dangerous.

The Rising of the Kundalini will generate tremendous energies (Extreme Heating) and intense Psychological Disturbances, the Kundalini-Syndrome.

Although Sacred Sexual Intercourse is a very powerful tool for Enlightment it is still not the Right Metaphor.

The Male and the Female have to be seen as complementary functions. The Male represents Order/Control and the Female Chaos/Desire. The complementary functions are independent of the sexes. A Female Human is perfectly able to act with a (Dominant) Male Pattern.

Uniting Male and Female is accomplished when you Live on the Edge (in the Middle) of Control/Order and Chaos/Desire (Wu-Wei). When Chaos and Order are in Balance the Union of Both Forces, The Void (also called the Tao), takes over and Synchronicity starts to Happen. The Human Action is Guided by a Higher Force, the Holy Spirit.

pentagleThe Human can also be viewed as a FiveFold Being (The Pentagram). In this case the Human is a combination of Male/Male (Control), Female/Female (Desire) AND Male/Female and Female/Male.

At the Center (In the Middle, At the Cross) of the Four Combinations is always the One, The Void. Most of the time the “new” combinations are called Soul and Spirit.

To Understand this process a little bit better we will change the Metaphor of the Sexes to the Metaphor of the Movements (Up & Down, Inside & Outside). The Opposite Movements are a Tension, that is Voided in the Middle.

Inside Outside
Up Up/Inside (Spirit) Up/Outside (Control)
Down Down/Inside (Soul) Down/Outside (Desire)

When there are Four Movements in Action, there are Six Ways to Integrate the Two Opposites and there are many more ways to combine the Six Ways into a Four Fold Integration. One of the most effectives ways to do this is to travel the Matrix in a Circular Motion(○) With or Against the Clock or by Circulating the Cross following the Pattern of the Moebius Ring (∞) also With or Against the Clock.

To move from the Mortal to the Immortal, Timeless, Domain we have to apply the Ouroboros-pattern. This is accomplished by connecting the Circulations of the Circle or the Moebius Ring at the Singularity, The Middle of the Cross. The circulations move against or with the Clock.

We are now moving from a 2-dimensional Matrix to a 3-dimensional Cube. To avoid confusion we have to define a third terminology for the two opposite Movements. In many cultures the directions of the Winds are used (East, West, North, South) combined with Up and Down but it is up to You to find other Terms.

It is still possible to visualize this structure in 3-dimensional space. This structure is called by the Topologists, The Klein Botlle. The Klein Bottle is a connection of two complementary Moebius Rings with the Void in the Middle.

There are of course other metaphors available to explain what is “happening”. The most interesting ia a Physical Metaphor. It is called the Holographic Universe.

In the Holographic Universe the Hologram is used as a methaphor. A Hologram is a 3-dimensional picture stored in a rotating 2-dimensional structure. A “grain of sand” could contain the complete image of the Universe.

In the Holographic Universe Time is not Linear or Cyclic. The Now expands into the Past and the Future. We are able to change the Past and the Future with our Imagination. Time Travel is possible if we are able to find the same point in the Multi-Universe we started our Travel. The Humans also exists in many Space/Times at the same Moment, The Now.

We are able to see with our (Higher) Conscioussnes the Complete Network of Time Loops that are enfolding in the weird structure that has no Inside and Outside.

Many people still live in the Hierarchical Word, where the Movements are always going Up. They believe in a beginning and an end and believe that every Cause has an Effect. Some people, The Holists (New Age), moved from the Outside to the Inside. To them everything is Energy and Reality is a Circle. They are the people of Soul and Spirit. The Holists believe in the Wheel of Karma or the Wheel of Destiny.

The new Age of Aquarius will be a completely different world. We, the Humans, are not moving around in the Merry Go Round that is created by the Gods. We will be the Co-Creators of the Creative Force that is in the Center of the Wheel.

We are the Whole AND the Part. We are the Cycle AND we are Not the Cycle. We will take part in a new enfolding of the Self-Reference, that is Whole and Empty.

Hierarchical Cyclic Holographic
Movements are always going Up Movements go Up and Down Self-Reference
Triangle/Pyramid/Cube/Tube Circle/Torus Moebius Ring/Klein Bottle
Causal/Linear Cyclic/Spiraling Closed in Itself
Creation Compression/Expansion Enfolding
Evolution Growth and Decay Continuous Creation
Outside Inside and Outside No Inside and Outside
Part/Whole Wave Fractal
Everything is Different Everything is the Same (Make a) Difference
Individual Collective Whole
Control/Desire Soul/ Spirit Center

 

LINKS

About the Kundalini Syndrome

About the Klein Bottle and Alchemy

About our Imaginary Twin Universe

About the Relationship between Alchemy, Tantra and The Gnostics

About the Holy Wedding

All You Want to Know About Alchemy

About Alchemy

The Gnostic Science of Alchemy

Dimension of Apeiron by Steven M. Rosen

About Boundaries

Friday, December 5th, 2008

chinese wall

Our skin, the sea, rivers and mountains are natural boundaries. They are just there.

The sexes, borders, the social classes, age, color of the skin and educational levels are Imaginary Boundaries.

They move in Space and Time.

They exist because Humans believe they exist. Boundaries are often created to Protect a Territory from an Outside Enemy.

When you want to create a Territory you have to Split a Whole and Surround the Piece of the Whole you want to Protect.  When you are Self-Sufficient you don’t need the Outside. The Fence becomes a complete Closure.

When you have to cooperate with the Outsiders you need a Hole, a Gate, in the Boundary.  The Gate is the most vulnerable part of the protective Wall. To avoid big trouble you have to Protect the Gate.

court of the lions alhambra

The Center of Power, the Palace, was always surrounded with a Wall and a Gate. The palace was protected by a Capital with a Wall and a Gate that was finally protected by natural or human made Boundaries (Walls, Fences, Stories, and Myths).

The Romans Emperors went even further to create and support “in-dependent” States that surrounded the Empire outside of its Frontier. The most impressive example of a protective system of Walls within Walls is the Chinese Wall.

When you are Outside the protective boundary you to have take care of yourself. To do this you need a Portable Personal Boundary (an Armour).

Of course the best way to solve your problem is to find help, create a new distinction (The Outsiders) and organize your own territory.

You can even do this when you are part of the territory of the Others by creating an Imaginary Boundary, a Culture. If you keep quiet “they” will accept you until you become a Threat. At that time comes you are caught within the Walls. A Protective Wall can suddenly turn into an Offensive Wall when you want to get out.

A Boundary is named a Set in Mathematics and a Container in Linguistics. When we cut a Set in two pieces (Sub-sets), the Boundary is shared. The boundary belongs to both sub-sets and therefore shares the properties of both Sets. When you split a Whole (1) in two parts four parts are created: the distinction, two parts and the Whole.

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

The Boundary is not a part of the parts but it is a part of the Whole. When you investigate a Boundary you are able to find out what both sides of the equation shared before they were cut in to pieces. When we investigate the Reason behind a Boundary we are able to understand what happened a long time ago. When you combine all the Imaginary Boundaries you are able to detect the history of the spitting of the Whole of the Whole.

Two Bodies don’t share a boundary. Even when the Bodies are in close contact there is something in-between, the Skin. When the two bodies are in love, they are trying to find the closest contact that is possible.

Solid entities are unable to share a boundary. The best they can do is to create a close contact. Solid entities are their boundary. Your Body is what You are. Fluids and Gasses adjust to their Boundary.  In a fluid and a gas we are still able to detect distinct entities (molecules).

sufi2

In a fluid they are loosely connected. In a gas they are freely floating around. When you experience your Boundary as a solid, you are stuck. When you experience your Boundary as a Gas you have complete freedom to move.

It all depends on the Temperature of your Boundary. When you Interact with many People the Temperature will Rise. When you Isolate yourself the Temperature will Drop Down and your Boundary will turn into a Prison.

If we look at the history of the splitting process it looks like the wholes were splitted without any reason. It just happened. When we analyze the process a pattern emerges. This pattern is cyclic, leveled and self-referential. The process is almost invisible because every word (or name) we utter directs attention and carves out a portion of the world, a Boundary.

When we stop talking and erase the many imaginary named boundaries things become very clear. The world becomes just what it is.

When we use mathematics (no words, only symbols), things become much simpler (or more difficult for You).

Spencer Brown (About the Law of Forms) created a new Fundamental Mathematical Theory called Boundary Mathematics. In this theory he uses two concepts Empty Space, the Void, Non-Existence, and Boundaries or Distinctions. Boundaries are the result of a merger of boundaries or are created by splitting a higher level boundary.

When we split a boundary into two boundaries or merge two boundaries new forms are created. A splitted circle becomes two lines. A splitted Klein Bottle becomes two complementary Moebius Strips.

When we split the dimensions decrease. When we merge the dimensions increase. Merging and Splitting are fundamental forces of nature. When we split our possibilities decrease. When we merge our possibilities increase.

sunset3

Two forms merge when they get into close contact (Communion, Love). A form splits when it is hit by another form (a Collision). When you cooperate the amount of opportunities will increase. When you compete the amount of opportunities will decrease.

When You create a Boundary there is always an Inside and an Outside. The Inside is the Indentity, You. The Outside are the Others. When we consider the Inside as the Protective Part, the Outside becomes its complement, a fearfull place. When we move Up and reflect we can see that there is no reason to fear the Outside. When we move Up we are always able to see the Whole. There is no need to create an Inside because of fear of the Outside.

A boundary is a closed surface. There are four basic closed surfaces, the Torus (a rotating circle), the Moebius Strip (a twisted circle), The Real Projective Plane (a merger of two Moebius Strips) and the Klein Bottle (a different merger of two Moebius Strips).

When you want to leave the rotating Cycle (Torus) of everyday Life and move into a higher dimension (more possibilities, more perspectives), you have to Twist Yourself and Merge with Yourself. You Twist when you Cross the Cycle of Life and Enter the Cycle of Death. You Merge with Yourself when you integrate the Inside and the Outside, the Up and the Down, the Male and the Female.

“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; and when ye fashion eyes in place of an eye, and a hand in place of a hand, and a foot in place of a foot, and a likeness in place of a likeness; then will ye enter into the kingdom.” (Gospel of Thomas, Logion 22).

GalahadGrail

In the beginning was the Void. If was full of Potential, Closed in itself, Totally Aware, Nameless, just a Boundary. The first split was the creation of the split. The Split immediately created its complement, The Merge because the Void is the Union of Complements. The next split created the Inside and the Outside.

The Void retreated in the Outside, the Darkness of Darkness, and gave the Inside, the Protected Boundary, permission to split again and again and again knowing that it would finally return to the Outside. The Splitting and Merging (Communion) of a Boundary and the movement of the Protected Inside (Agency) to the Dark Outside are all part of one movement, the final return to the Void.

The Tao that can be told

is not the eternal Tao

The name that can be named

is not the eternal Name.

The unnamable is the eternally real.

Naming is the origin

of all particular things.

Free from desire, you realize the mystery.

Caught in desire, you see only the manifestations.

Yet mystery and manifestations

arise from the same source.

This source is called darkness.

Darkness within darkness.

The gateway to all understanding.

First Line of the Tao Te Ching 

lancelot

You are protected by a personal boundary, Your Personality. The personality behaves in the same way as other Boundaries. You, Your Consciousness, is able to Commune (Split and Merge), move to the Inside (You) and the Outside (the Other).

When you Protect the Inside with an Armour you will always be Alone. To communicate you have to create a Hole, A Gate. You often look through this tiny Hole into the Dark Outside World hoping someone is there to help You.

What You don’t realize is that The One is always waiting in the Darkness of the Darkness to open the Gate to the Void that contains the Infinite Potential, that is You.

LINKS

Why an Event is not a Collision

Images of Splitted Boundaries

About The Law of Forms and Mysticism

Why God is a Topologist

Saturday, November 29th, 2008

god_geometry_bigSometimes I am getting very frustrated when I read spiritual books. I am getting frustrated because those books are a very complicated mixture of many other books that are also very complicated mixtures of other books.

The most complicated spiritual books are the books that use mathematical or physical theories to proof they are Right. The main reason is of course that mathematics and physics is complicated stuff to understand.

Mathematics contains the essence of Physics. You have to understand a little bit of mathematics to understand elementary Physics. The essence of Mathematics is Geometry. When you understand Geometry the rest of mathematics is just calculation (Algebra).

Geometry started as a very practical science concerned with navigation in space and the measurement of all kinds of forms. Soon the old scientists discovered interesting and unexplainable patterns. They discovered a hidden, sacred, structure behind reality and started to find ways to proof their intuiton was right.

It was not for nothing that Einstein believed God was a Geometer. Much earlier the Mystic School of Pythagoras tried to find the Sacred Geometry behind the Numbers to understand the Whole. At this moment Geometry has advanced a lot in relation to the old days of Pythagoras and even Einstein. Geometry is now called Topology, the Science of Spaces. In terms of Einstein, God was a Topologist.

To proof the theorems of Geometry the concept of congruency was used. Two figures are congruent if they have the same shape and size, but are in different positions or in more difficult language,  if they can be transformed by a combination of translation, rotation and reflection. When two figures are congruent they are “the same” and when things are “the same” you are able to prove theorems.

During the Renaissance to understand perspective drawing, two things are considered the same if they are both views of the same object. In the Renaissance the perspective, looking from a different angle, was added as a “the sameness”. Circles and ellipses became part of one class.

A “the sameness” has a lot to do with Identities and Wholes. When your view on “the sameness” changes you are able to identify a different whole. The new concept of the Perspective made is possible to “see” the Sun as a persistent object instead of an ever changing object.  

During the Renaissance the Sun became the Center of the Whole. The highly confusing worldview of the Middle Ages where something was the same when it really was the same object in reality slowly faded away. The external world became the world of the Eye, the microscope and the telescope.

Topology changed this view dramatically. In topology, any continuous change which can be continuously undone is allowed. So a circle is the same as a triangle or a square, because you just pull on parts of the circle to make corners and then straighten the sides, to change a circle into a square.

In the View of Topology the Sun is nothing but a small part of an ever expanding and contracting Universe. Topology transformed the external World of the Eye into the Internal World of Moving Water, Waves and the Emotions, the Felt Sense.  Topology is the Science that prepares the Way for the Water Bearer, Aquarius.

Topology is just like Geometry not only the science of space. It is also the science of transformation and transformation is also the essence of spirituality.

The major issue of Topology is the Contraction and Expansion of forms and again the essence of spiritual transformation is the Breath of God, the Holy Spirit. Topology has also a lot to do with Harmony or Symmetry and again Realizing Harmony is one of the major issues in Spirituality.

The interesting part of Topology is that you are able to do research on a huge scientific mathematical domain by exploring just one structure which is a representative of all the other structures.

ouroboros

The first object of interest are the Circle and The Line. It is not possible to transform a Circle into a Line without cutting the Cycle in one Point, Infinity.

In a circular, moving world, Infinity is non existent or every Point of the Circle corresponds with Infinity. 

This is an  interesting insight because  almost nobody doubts about the fact that the space we live is a Circular Rotating Space. In the World of the Circle  The very Small and the very Big are the Same.

 

monster

According to the Physicists our Space is a much stranger Space than a Circular Space.

Our Universe is highly dimensional because the complicated symmetry of our Universe simply does not fit in a lower dimensional space.

The most symmetric object, strangely called the Monster, uses 196,884 dimensions.

We, the Humans, travel a small part of the Monster, because we are not able to see enough perspectives. A perspective is a dimension.

One of the most interesting subjects is Self-Reference. The most simple Self-Referential structure is a Circle.

Topology contains very special Self-Referencial Structures like the Moebius Ring and the Klein-Bottle. The Moebius Ring is a Space without an Outside. It is closed in Its Self. You always travel the same surface.

klein bottle

A Klein Bottle is even stranger. Its surface is Closed in Itself but it has no Inside and no Outside. It simply IS. 

A Moebius Ring exists in our 3-dimensional space.

A Klein Bottle needs 4-dimensional space. The Klein Bottle has a lot in common with a very old concept, the Ouroburos, the Snake who eats Himself. The Snake is a symbol for the Kundalini, the Force of Enlightment.

knotMore complicated topological structures are Knots and to give you a quick insight, the Universe is a Web that was never Woven, a beautiful Veil that is difficult to See when you are travelling a small part of it.

I know this small blog will not help to get an insight but I assure you that when you start to explore Topology You will encounter new Concepts (or Paradigms) that will surprise You.

Topology will  give You a still small but highly extended perspective on the Creation of the One that expanded in so many Harmonic structures.

LINKS

The History of Topology

About our Limited Perspective and the Limits of Reasoning

About the Topology of Art, a Short Introduction to Bahktin

About Free Will, Time and the Monster

About the Moebius Ring and the Klein Bottle in Philosophy

About Self-Reference in Physics

About Knots in Philosophy

About the Klein Bottle

Why Numbers are Waves

Wednesday, September 3rd, 2008

If you’re struggling with meal planning and eating healthy right now, you’re not alone. While trying to avoid grocery stores, you may be ordering more take-out than usual or reaching for snacks you normally would not eat due to stress or because healthier choices are not available. It’s completely OK and understandable to cut yourself some slack, but it’s also important to make sure you are getting enough nutrients to support yourself. Take a look to the best Alpilean customer reviews.

If you’re struggling with meal planning and eating healthy right now, you’re not alone. While trying to avoid grocery stores, you may be ordering more take-out than usual or reaching for snacks you normally would not eat due to stress or because healthier choices are not available. It’s completely OK and understandable to cut yourself some slack, but it’s also important to make sure you are getting enough nutrients to support yourself.

“Our bodies need to be nourished to fight infection and disease,” said Marissa Epstein, director of the UT Nutrition Institute. “A team of nutrients in foods work interdependently to strengthen our immune response when our bodies are defending against infection.”

Epstein says the first step in incorporating a more nutritious diet at home is reframing your attitude toward healthy eating by remembering all of your favorite healthy foods that make you happy and feel good. Creating these positive associations can help take off some of the stress around healthy eating — making it feel less intimidating and demanding.

We asked Epstein to share some healthy nutrition tips to inspire our current meal planning.

1. Set a schedule.

You should be taking a break and eating every three to four hours based on your hunger cues — starting with breakfast. Add an appointment on your calendar or set an alarm on your phone to remind yourself when to take snack and meal breaks.

2. Shop wisely.

Grocery shopping is serious business. You need a plan that will get you in and out as quickly as possible with food that lasts until your next trip. The best strategy for this is to make a grocery list. Have some backup food options just in case stores run out of your favorite items. If you’re ordering through a curbside pickup service, check your order against your list to make sure you didn’t miss anything.

3. Separate food and work.

Avoid setting up your home office in a place where your kitchen is in plain sight. It’s easy to gaze over your laptop straight into a pantry of snacks, so try your best to avoid the environmental cues tempting you to eat when you’re not hungry. Plan to eat when it’s time to eat and work when it’s time to work. Separating these two activities will help you enjoy your meals more and prevent you from snacking because of stress or boredom.

4. Stay hydrated with food.

Keeping a glass of water at your workstation is a good practice, but drinking water isn’t the only way your body stays hydrated. When you eat foods with high water content such as frozen or fresh fruits and vegetables, your body breaks down the water trapped inside the plant fibers. That water is released into your body slowly — keeping you hydrated for an extended period.

About Total Madness

Monday, August 4th, 2008

I have never believed reason and the final implementation of reason, the Computer, would help mankind. Reason is a terrible trap. It compresses our reality to a single point in which we finally will vanish. 

The Reason We are Here is not reason but non-reason. We are here to fight reason until it finally disappears.

The weapon with which we have to fight reason is reason itself. If we understand the simple fractal pattern behind everything we are ready to experience the spectacular effects of the simple pattern.

When you look at my blog about the Limits of Reason you can see that the solution is easy to find.

The solution is to move to the level the computer and reason never can reach, the world beyond Point Ω of Chaitin into Total Madness. It is the place where the Creative Force creates unique patterns that nobody can explain. The only thing we can do is Experience them.

The step into the world beyond Ω is in essence a step into madness. We have to leave everything we know behind. We have to skip all our patterns.

There are many types of madness but the madness I am talking about is named schizophrenia or psychosis.

I have experienced Psychosis when I suddenly jumped into the Unknown two years ago. I did not know my state was named this way. I experienced the state and tried move out of it because it was killing me. It was killing me because I received too much information. My brain was unable to find a pattern and the effect was almost total madness.

Luckily I did not go to a psychiatrist and I also did not take any pills. I just started to use the Internet to find out what was happening to me. Finally I knew I was the “victim” of something the old scientists call “Kundalini Rising“. I was experiencing something the Old Scientists call Enlightment.

When you are moving into the state of Enlightment you know there is another world behind this world and you know this world is real. It exists but the majority of humans are not aware of this world.

When you have experienced this state you suddenly understand what other enlightened humans are trying to tell. You understand the Gnosis but you also understand certain Philosophers who are trying to grasp the Reality behind our Reality.

One of them is Gilles Deleuze. Deleuze worked together with the psychiatrist Félix Guattari. One of their “Inventions” is the Plane of Immanence.

A few citations:

Here, there are no longer any forms or developments of forms; nor are there subjects or the formation of subjects. There is no structure, any more than there is genesis.”

We will say of pure immanence that it is A LIFE, and nothing else” [...]

A life is the immanence of immanence, absolute immanence: it is complete power, complete bliss

There are only relations of movement and rest, speed and slowness between unformed elements, or at least between elements that are relatively unformed, molecules, and particles of all kinds. There are only haecceities, affects, subjectless individuations that constitute collective assemblages. [...] We call this plane, which knows only longitudes and latitudes, speeds and haecceities, the plane of consistency or composition (as opposed to a plan(e) of organization or development

Deleuze and Guattari are using very difficult language but what they are trying to grasp is the experience of Union that occurs when your kundalini is moving. Many other people that have experienced this state of pure love have tried to find all kinds of metaphors to explain something you cannot explain.

The first time in my life the state of Union took only 30 minutes because somebody was able to drag me out of it. I wanted to stay there for ever. The second state lasted more than a week and because I was alone nobody was able to help me. It was much stronger and it came with huge flashes of Insight.

What will come in the near future is total Madness. Many people are already moving inside to find a state to cope with the Madness. The Total Madness has many names. Terrence McKenna calls it Point Omega. Funny enough the state when we pass the Limits of Reason carries the same name.

What is the Reason We are Here

I think Leibniz was not far away from his statement that Our Universe is “the most simple in hypotheses and the most rich in phenomena“. There are just a few rules that determine the Game of Life. It does not take a long time to find these rules. We can spend our whole life to prove these simple rules are not there. In this case Reasoning detracts us from the real thing. 

If we want to move beyond Omega we have to stop Reasoning. At that time we are ready to Create and Experience the Unique Events of Life itself.

LINKS

About the Deleuze and Events

About Deleuze and Leibnitz

About Deleuze and Ethics

About Deleuze and Creation

About 2012 and Point Omega

What willl happen at Point Omega

 

About The Limits of Reason

Sunday, August 3rd, 2008

You can always find an infinite amount of equations that fits a finite set of points.

When the set of points changes the equation changes. This represents a major problem when you want to find a general pattern. The solution is to assume that the pattern behind the set of points has to be a Simple Equation (or a Simple Law).

A  theory has to be simpler than the data it explains, otherwise it does not explain anything.

To define Simplicity we have to define a tool that measures the simplicity of an equation. Mathematicians have tried to solve this problem in many different ways. The problem seamed unsolvable until computers and software-languages were invented.

A law of nature is a piece of software, a computer algorithm, and instead of trying to measure the complexity of a law via the size of an equation, we now consider the size of programs, the number of bits in the software that implements a theory.

If every theory is represented by a string of bits we are able to analyze what a computer (our “thinking mind”) is able to represent. The problem is transformed to the problem of representation. Behind this problem lies the problem of Compression.

Our Reality is represented by the simplest equation (the shortest (most compressed) binary set) that when it is expanded represents the most complex binary set that represents our reality.

Gottfried Wilhelm Leibniz

Gottfried Wilhelm Leibniz

One of the conditions we have to add is the condition of “understand ability”. Perhaps the expression exists but we are unable to grasp the law. Leibniz calls this law the principle of sufficient reason.

Leibniz formulated this principle as follows: “Dieu a choisi celuy qui est… le plus simple en hypotheses et le plus riche en phenomenes” (God has chosen that which is the most simple in hypotheses and the most rich in phenomena)”. “Mais quand une regle est fort composée, ce qui luy est conforme, passe pour irrégulier” (But when a rule is extremely complex, that which conforms to it passes for random)”.

The interesting point in the statements of Leibniz is de term “irrégulier“. It is translated by the term “random“. This term can be interpreted in many ways. In the world of Statistics it means that a certain event is unpredictable. In algorithmic terms it means that we are unable to find a pattern behind the pattern we observe. A random pattern is an essential pattern. It cannot be compressed.

Science ends when we have found randomness and have reached the Limits of Reason.

Everybody has a Limit of Reason and this limit expands in time but for every mind that will be born there is an absolute limit of Reason. When we have reached this limit we will know there are still patterns to find but we will be unable to prove they are real patterns.

Gregory Chaitin
Gregory Chaitin

Gregory Chaitin is the expert of the Limits of Reason and he is highly influenced by Leibniz.

By running a program you can eventually discover that it halts, if it halts. When it halts you have found a theory. The problem is to decide when to give up on a program that does not halt.

A great many special cases can be solved, but Turing showed that a general solution is impossible. No algorithm, no mathematical theory, can ever tell us which programs will halt and which will not.

We are never certain that we have found a theory because when we wait a little longer (collect more facts) we find the final theory that explains what we want to explain (if we understand the theory).

We could use a computer to search for patterns (this happens already) but the computer presents an incomprehensible theory (this happens already) or it has to search a little longer. A computer could run “for ever” when there is enough energy but a human has a fixed lifetime. The halting problem shows that we will not know how long “for ever” is. We also will not have enough minds to analyze the output. The Halting problem is proved to be unsolvable.

Chaitin defined a constant Ω that shows our progress in reaching the Limit of Reason. It shows our progress to reach the Incomprehensible.

We still have a long way to go.

The Halting Problem cannot be solved because we (the Humans) are unable to define the Limits of Reason. Even the Brightest Minds will not be able to understand all the patterns that are available in Our Universe. Even Mechanical Devices programmed by the Brightest minds will not solve the Mystery. Somewhere we will make a Mistake.

The Mistake will start a new process of Inquiry and New Theories will be created that will always contain a Mistake. We will be Busy until Enternity to Create because we are not perfect. Only Perfect Solutions are Impossible.

I want to close this blog with a statement of Leibniz: ”Sans les mathématiques on ne pénètre point au fond de la philosophie. Sans la philosophie on ne pénètre point au fond des mathématiques. Sans les deux on ne pénètre au fond de rien”(Without mathematics we cannot penetrate deeply into philosophy. Without philosophy we cannot penetrate deeply into mathematics. Without both we cannot penetrate deeply into anything)”.

LINKS

George Chaitin about the Principle of Sufficient Reason

About  Geometry and Fractal Patterns

About Formal Languages and Mistakes 

About the Quest for the perfect language (A Talk of Chaitin about the book of Umberto Ecco)

Leibniz forgot to mention the role of the Artist

About Leibniz and Deleuze

About Turing Machines

About Balfour and the End of Time.

Monday, July 21st, 2008

Gottfried Wilhelm Leibniz lived between 1646 and 1716. He was a universal scientist and made contributions to mathematics, philosophy, technology and social sciences. Leibniz did not believe Time and Space were real. Current developments in Physics prove that Leibniz was right. We are approaching the End of Time and Space.

The observation that time is a linear chain of events moving from the past to the future is wrong. Our believe-system makes a selection out of an infinite amount of (disconnected) Events.

The events are part of a very complex Framework, a Fluent Crystal, which is slightly out of balance. With every change of the Crystal new Shapes, or Configurations, are formed but the Crystal, the Structure, The Geometry, is not changed.

According to Leibniz Our world is the world which is at the same time the Simplest in hypotheses and the Richest in phenomena. There are many other possible worlds because there is an infinity of possible laws. Some of the laws are proper to one world, others proper to another. Each possible individual of a world includes the laws of its world in its notion.

Monad

Monad

The Universe of Leibniz is filled with Individual Monads (Souls) who are Observing. A Monad is pregnant with the future and laden with the past of his own World. Past and Future are folded up within the Monad.

A Monad is always in the Now. We are part of a Monad and the Monad is part of Us. We are One Mind that is fragmented by a Cosmic Accident. All the Minds contain the Sparkle of the Whole and are desperatly trying to Unite.

Leibniz does not believe in cause and effect (Time). They are a way to explain what we See. The Universe is What it Is. It contains a Pre-Established Harmony. We are a product of Our Senses and the Senses are creating a very Narrow View of the Universe. We Think the Universe is What We See and create Theories that prove that we are Right but all the Theories until now contain a fatal error.

They are proving that Time is Linear and Space is Distance. We are unable to travel Space because we are not able to exceed the limit of Light. The prove of all these theories is based on Infinite Regress and Infinite Regress is a logical mistake. Our Universe is not “Turtles on Turtles“, “Particles all the Way Down”.The Universe is a Fixed Structure and we (the Monads) are exploring this Stucture.

Every monad mirrors the Whole of the Universe in that it expresses every other monad, but no monad has a window through which it could actually receive or supply causal influences. A monad cannot be influenced, there is no way for a monad to be born or destroyed. All Monads are Eternal. They are always Watching the Others. The only thing that changes is the Way they Watch, Their Point of View. The Monads are Alone but they are also Together because Every Monad is an Expression of the Same Principle, Harmony, Beauty or Love, The Fluent Crystal, That IS.

When a Monad is Watching it is capable of having an infinite number and complexity of perceptions. We (our Brain, Our Senses) are not conscious of all these “little perceptions” (Events), as Leibniz calls them. We connect some of them, create a “stream of consciousness” and make up a convincing story. We are constantly filtering our perceptions. The Filter is our Believe System. A huge part of What we See is not Seen but Projected on the Outside World. We See what we want to See.

The main characteristic of Our Universe is Varity. We are constantly generating new Insights of the Whole. Our Universe is a Field that is creating New Exiting Combinations that are Creating New Exiting Combinations. It always Changes because we the Observers are Changing our Point of View.  Our Universe is a Creative Universe.

The independent physicist Julian Barbour used the philosophy of Leibniz to create a completely new vision on our Universe. His vision can be found in his book “the End of Time”.

In a blog I wrote about Seth. Seth is a Monad who uses channeling (an Exchange of Energy) to explain the Physical Universe. Seth shows how we are Creating our Own Reality and what we can do to create the Reality we really want. A few days ago I found Elias. Elias is also a channeling Monad. Elias uses the Concepts of Seth to explain what is Happening at this Moment.

A small citation:

You all notice a change in consciousness of your world. Even those who are unaware notice a changing shift in consciousness“.

“The action of your shift in consciousness encompasses the entirety of your globe. It is not limited to any group, any family, any selectivity of consciousness within this dimension. It is all-encompassing”.

You have chosen, within this dimension, a new experience in creativity. You have chosen, within what you term to be your history, certain actions and experiences for long time periods, in your terms. These have been purposeful for those experiences. You presently move away from your religious era, which has continued for quite some physical time period, into a new awareness in consciousness, to allow you an expanded creativity and allow you to utilize your abilities of essence within physical focus. You are expanding your reality to encompass more of essence and more of your own creative abilities

What Elias is explaining is what Leibniz (and Balbour) are explaining but he explains Much More. He explains Why we are moving into what the Old Scientists called The Golden Age. We are moving into the Golden Age because we are bored by the Way we are looking at the Fluent Crystal.

We have explored every part we are able to See. We are blocked by all the Hierarchical Systems (Religion, Science, Politics, Banking) that are not based on a Solid Foundation. The Foundation of the World is not based on Hierarchy but on Relationship. We want something New. Something that gives US, the Monad of this Possible Universe, the Opportunity to Explore and use OUR Creativity.

The Golden Age will be a time when the Financial System of the Earth will collapse, War, Aging and Sickness will disappear and traveling Time/Space will become possible. The Doors of Perception will open wide and many new parts of the Beautiful Crystal will become visible. The most important potential of the Golden Age will be Unlimited Creativity.

The huge change in Focus on a completely New Part of the Crystal Field will destroy all our current Believe-Systems. This will create an enormous amount of Chaos and Trauma but in the end we will live in something we now would consider Paradise.

LINKS

An Interview with Julian Barbour about the End of Time

An Article of Julian Barbour about the Philosophy of Leibniz

The Philosophy of Leibniz

About the Shift that is happening at this moment, The Website contains all the material of Elias

 

About the Chinese Domino Game and the Magic Square of Lo Shu

Tuesday, April 29th, 2008

Old Games always contain a Mystical meaning. They contain a Code. Over and over again the same Code is implemented in many games.  This blog is about the Chinese Domino Game.

The Old Chinese Masters made a distinction between the Square and the Circle. The Square was related to Human Creativity (Playing the Infinite Game of Life). The Circle was related to the Cycle and the Spiraling Spiral, the Fundamental Laws of the Universe.

The meeting of the Square, The Game,  and the Circle, Fate, generates Luck, Coincidence or Synchronicity.

The Chinese Domino Game Set is created by a throw of two six-sided dices. There are therefore 21 unique patterns. The 22nd pattern , the whole, closes the circle.

A tile is divided into two suits called Military and Civilian. The Civilian tiles are the Upper Triangle in the Matrix generated by the 36(6X6) throws of the dice. We find the same division in the Old version of Chess. The Civilian tiles are named and ranked according to their Level (Heaven, Earth, Human).

Each civilian tile has a Chinese name : The 6-6 is tin (天 heaven), 1-1 is dei (地 earth), 4-4 is yan (人 man), 1-3 is ngo (鵝 goose or 和 harmony), 5-5 is mui (梅 mei, flower).

The six symmetrical tiles (1-1, 2-2, ..) are the Basic Powers in the Universe (Earth, HuMan, Fire (Growth), Heaven, Center,..). The other Tiles are Connectors between the Powers and the Levels.

Chinese language is a Pictorial language. The Pictures are related to Sounds (morphemes). The oldest version of Chinese consisted of only Four Tones. The meaning of the language is highly Context-Dependent.

Numbers are also Context-Dependent. You have to know the modulus to understand what a number means. In the West we are accustomed to the use of 10. The number 13 means 10+3. In the “Old Days” other numbers where used.

When we move back to the Domino-Game we see that the base-number is 6. 1-3 (meaning Harmony) is really 6+3=9 in our notation based on 10.

A Magic Square is combination of numbers where the numbers in all rows, all columns, and both diagonals sum to the same constant. One of the oldest Magic Squares is the Lo Shu Square. It was given after the Great Deluge to the Mythical Emperor Lo Shu by a Magical Turtle. The Turtle is the Symbol of the Star System Orion.

4 9 2
3 5 7
8 1 6

The Lo Shu Square is a Code. If you follow the “numbers” 1-9 a Pattern emerges called the (generating) Sheng Cycle. When the numbers are added the number 15 (3X5) appears. The number 15 represents Three Times the Center which again indicates that there are Three levels. The three levels enfold into 7 levels when we apply the movement, the Spin, of the Cycle (Left-Handed, Right Handed).

The Sheng Cycle

The Sheng Cycle

The Left-Handed cycle is called the Destructive Woe Cycle. The Generating Cycle is voided by the Destructing Cycle (-1 + 1 = 0). The number 7 is 2X3+1 (-3,-2,-1, 0, 1, 2, 3).

The division of the numbers 22 and 7 generates an approximation of the number pi, the Squaring of the Circle. It binds the Game of Life (Square) to the Laws of the Universe (Circle).

The 5 represents the Center and is called the Force of Life (Chi). Chi was called Ether in the West and Prana in India. Ether is called the Vacuum in Modern Physics.

The Magic Square is a representation of a Topological Structure called the Moebius Ring. The Ring is a Cyclic Structure without a Boundary. The Ring is the Basic Fractal pattern. The Universe is a Closed Self-Referencial structure, a Spiraling Spiral. The Ring enfolds in a Ring and the Enfolding is a Ring.

The Magic Square can be expanded to the 64 (8X8, the Checker Board) hexagrams of the I Tjing.

In the Game of Chess the Pawns are moved along the lines of The I Tjing. They create a Pattern just like the Game of Domino creates a pattern.

Both Games were played by Four Players, The Four Forces. The Games are a simulation of Life (or Earth or the Universe).

The Seven Heavens

The Seven Heavens represented by the Tower of Babylon

The Magic Square is also the basic pattern behind Acupuncture, Feng Shui and Astrology. The Magic Square Forces the Forces to Cooperate. They have to stay within the Limits of 15, the Upwards Spiral.

To move back to the Center (The Void) they travel back by the Downward Spiral. The Up/Downward Spiral is the basic Fractal Pattern of the Universe.

Again we move back to the game of Domino.

The Domino Stones can be seen as Numbers with a base 6, Characters with a meaning (1-3 (=9, the end state) means Goose and Harmony), Sounds, Colors and connectors in the Magic Square. In this case there is a relationship to the Human Body, The Living Context (Feng Shui), The Planets and the Galaxy.

The 21 unique throws of the two six-sided dices can be rewritten in a combination of two Lo Shu 3×3 Magic Squares in which one square is the negative of the other and the zero is in the middle ((-1,-2,-3,0,1,2,3) x (1,2,3)). It represents a combination of a left- and righ hand turn of the Cheng Cycle.

The Old Masters believed in a self-referential Universe. The “Fractal” pattern repeates itself on every Level. At this moment Scientists start to believe the same.

Thoth and the Human represented by the Ape. The Ape uses the Eye of Horus (the third Eye) to look at Thoth

Thoth and the Human represented by the Ape. The Ape uses the Eye of Horus (the third Eye) to look at Thoth

The Magic Square was given to mankind after the Great Deluce by a Mythical Entity, Half Man, Half Serpent. He came from an old civilization that was situated in MU. His Knowledge came from the Star System Orion (The Turtle).

The Egyptian name of this Magical Entity is Thoht, Tehuti or Djehuti. The Greek named him Hermes “Three Times Great” (Trismegistus) which relates him to the number 15 (3X5) of the Magical Square. Thoth was the keeper of the Secrets of Osiris (The Planet Sirius). Thoth was the Moon-God and is represented in old paintings as ibis-headed with the disc and crescent of the Moon. Hermus Trismegustus inspired the Magicians in the Middle Ages (John Dee) and new “mystical” groups like the Rosecrusians and the Free Masons.

Thoth came to Earth to teach mankind. He made all kinds of calculations about the Heavens, the Stars and the Earth. When he was finished he returned to Heaven (Orion?). When Earth is in a huge crisis he will come back. His knowledge and calculations were put into the Sacred Books of the Temple put unto 36535 scrolls that were enclosed in the Hall of Records. The Keys of Thoth were put into a Calendar. The Egyptian calendar was based on the Moon Cycle. They synchronized the Moon Cycle with the Cycle of Sirius. Sirius in the star system Orion rose every 365 days. The Egyptian Year started when Sirius appeared (June 21th).

The Playing Board of the Egyptian Game Mehen

The Playing Board of the Egyptian Game Mehen

Thoth came from Sirius (Al Shira, The Shining One). Interesting enough all the other Serpent-Kings came from the same Star System. All the Serpent Kings created Pyramids (even in China!) and the Pyramids are a “Simulator” of the Orion System.

Thoth will Return. We will be warned about the Rebirth of Thoth when something happens with Sirius. In a Hopi Myth Sirius is called the Blue Kachina. When the Blue Kachine drops its mask (or veal) the Fifth World will appear.

Let us move back to the Game of Domino.

Vladimir Pakhomov wrote a book called the Message to the Unborn. He used the Game of Domino to encrypt the Code behind the Code. The book contains more than 500 pages to explain his theory.

When he placed the Chinese Domino game in a Magic Square of Lo Shu and used the Orion System as the Central Code the code behind the code showed itself.

He named his book Message to the Unborn because he shows that our Ancestors from the Stars not only gave us a warning. They also gave us Tools to Save Mankind. The Tools are Magical Incantations (Tones and Sounds). Perhaps it is Very Easy to Save Mankind!

LINKS

A website about the Lo Shu

About Mehen, the Spiral Game

About Thoth

About the African History of Ancient Egypt

About the Djed-Pillar, the Egyptian Serpent

About the Nine Spiritual Bodies of Egypt

About Egyptian Physics

About Heliopolis, the Ancient University of Egypt