## Posts Tagged ‘knot’

### About the Expansion of Space

Tuesday, December 16th, 2008

The Universe, Space, is expanding at a constant speed, the speed of Light. If we try to imagine an expanding Space we imagine something, a balloon, which is expanding in Space.

When Space is expanding, outside Space is Nothing at All. Space is just creating Space.

Imagining “nothing at all” is a big problem for many people. They believe there are always Insides and Outsides.

Expanding Space, or Movement, is the Foundation of our Reality.

Space is creating all kinds of forms but Space is also a Form.

The expanding Space conforms to “geometric expansion rules” and many people will ask the question who has created these rules.

When we have established a principle we always want to know who has created this principle. When we have solved this problem the same question is asked again and again because it is almost impossible to imagine that a Dynamic Process is not caused by a Static Cause.

The Duality of the Inside and the Outside, the Static and the Dynamic have to be resolved on a higher level. On this higher level the Outside is the Inside and the Mover is Moving Itself.

At this moment many mathematical theories of Reality are constructed that are trying to avoid the “trap” of Duality. It is not difficult to translate their physical statements into spiritual statements. Spirituality and Mathematics are exploring the same domain, the Domain of Wholeness.

It all starts with The Light.

Light is something that is moving with the same speed as the expanding space, the Akasha, so expanding space could be seen as traveling Light Waves. Space/Light is moving with the speed of Light, c, but it is not necessary that the Light that is moving inside space is traveling with this speed.

When Light is not moving in a straight line the form of Light is changed and other structures (particles) are formed. The most interesting structures are complex cyclic structures (the Vâyu). They are the basic containers of the Universe.

Space is closed in Itself but there is an absolute boundary, the Edge of Space. This edge is a Mirror. When Light bounces against this Mirror it bounces back and influences the other Light Waves.

Because the Edge of expanding Space is a circle, The Light Waves move back in a different direction and create interference-patterns. Because space is limited and closed in itself one Wave of the Light, the Svara, is sufficient to create a complete spectrum of waves.

The Frequency of the Waves determinates the levels of Space. Conscioussness appears when something is able to Observe Itself or to Moves ItSelf. So every Level in Space is consciouss.

The interference of Light Waves creates “disturbances“. Some waves are starting to move in a cyclic pattern. Within these disturbances the Light is caught. They are rotating and rotation is linear speed transformed into rotating speed. The sum of the rotating and the linear movement is always constant.

The disturbances in space are influenced by the expansion of space. When Space is expanding the disturbances are extended until they break.

Just like a spring (a rotating circle, a spiral) breaks when the expanding pressure is too big. When the broken structures drift away from the “front-line of space” they are put together again. When this happens some of them are twisted.

Twisted structures (Moebius Ring, Klein Bottle, Knots) are forms with are different in behavior than normal cyclic structures like the Torus. They are without an inside and an outside, they are without a surface and they expand and contract in a different way. They increase the “tension” in space.

Space itself is expanding with a constant speed but the many different forms in space react differently to the expansion. When the resistance is increasing space is rippling (“zitterbewegung”) just like our skin is rippling when we get older. During the rippling phase, space expands by folding onto itself.

The wrinkles, ripples, buckles, bends, are the many appearances of energy and matter. They can again be visualized by a balloon with knots tied on its surface. Knots that are tied on the surface of the balloon represent matter, and surface wrinkles that emerge around knots represent the electromagnetic field.

The wrinkles and knots decreases the circumference of the balloon, and while the balloon is still expanding, the inner pressure, the torsion, increases until the Balloon collapses completely into itself. The pressure is so strong that space moves through a tine hole (bindu) in the surface (the Black Hole) of the Balloon and space expands at the other side of the balloon (the White Hole). From that time on “history” repeats itself.

The Universe is Breathing.

At this moment we have developed a very simple theory. Space is the expansion of Light. When the Light bounces against the Mirror of the Edge of Space it creates Interference Patterns.

These patterns behave differently under the stress of the expansion and the stress of the expansion starts to interfere with the other moving structures in space.

If you read the Story of the Universe one thing makes the Story rather complicated. To explain expanding space the metaphor of the Balloon is often used but the geometric structure of the Universe is not a Balloon.

We are not living Outside the Balloon but we are living Inside the Balloon. Outside the Balloon is non-existent. We are not moving Inside the Balloon but we are moving on the Surface of the Balloon. The Inside of the Balloon is non-existent.

Mathematics has used the flat structure, the Euclidian Universe, to explain reality. In this Universe all the geometric theories of Euclid were valid although one of the postulates of Euclid, the parallel postulate, was in discussion for a very long time. This postulate states that two lines intersect when the sum of their angles is less than 180°.

When people found out that we are not living on a flat earth they realized that the parallel postulate was wrong. The sum of the arcs of a triangle on a sphere is not 180°.

When mathematicians started to face the facts the Non-Euclidian Geometry was born and the parallel postulate was abandoned. The flat geometry was an exception. We are living in a curved universe.

The man in the street is not educated in the curved universe and many brilliant scientists who are operating outside the area of the exact sciences don’t have an idea about non-Euclidian geometry.

Non-Euclidian Geometry has had a huge impact on Science. The curved Universe is just like the “valid” postulates of Euclid an accepted fact.

If everybody would accept the “fact” of the curved universe and realize that every system in the Universe (also the Economic System) is always expanding and compressing we could anticipate the Waves of the Life Force, the Svara.

If everybody could accept that an always expanding system in our Universe always collapses in itself we could realize that an expanding economy wil create complex knots that cannot stand the tension of the expansion. The knotted, highly related, structures in our Reality are breaking and twisting.

They stop the expansion until the singularity is reached. At that time we will move trough the Black Hole and the White Hole in another Universe, Our Twin Universe.

The most interesting part is that it is possible to develop a theory of the Universe without any idea about the real Universe. It is a direct consequence of the postulates of Euclid. The only thing that is left to interpret are the results of the Geometric Theory of the Universe in our Reality. We have to find visual methaphors in our reality that look like the concepts of the geometric theory.

The only thing that is needed to Accept the Geometric Theory of the Universe is to Accept the Postulates of Euclid. They are more or less self-evident.

They are Visible in our Reality, but still you never know if somebody is capable of finding a new exception of the postulates. If this happens the Geometric Theory has to be adapted.

Until now nobody has a clue. The axiomes of Euclid are still the foundation of Mathematics.

The Old Scientists stated that our Reality is an Illusion. The only thing that is existent is the Movement of the Void. The Movement of the Void generated the Reflection of the Void, the Expansion of Space, The Interference Patterns of the Light and finally the final compression into The Void.

They stated that the Universe is an expansion of nothingness and the nothingness is preserved in every state of the Universe. Every duality that is constructed is voided in the nothing.

Consuming is voided by Production. The Good is voided by the Bad. The Up is voided by the Down. Life is voided by Death. Everything wants to return to the original state of the Rotating Void.

If the population of the Earth is consuming to the extremes one day the opposite will happen and we will be consumed to bring back the balance of the void.

When we lend we have to pay back our debts to the Universe.

About Reflecting Waves at the Edge of the Universe

A recent Geometric Theory of the Universe

About the Moebius Ring, The Klein Bottle, Knots and Physics

About Heisenberg and the Rippling of the Universe

A very old Geometric Theory of the Universe based on the Upanishads

### Why God is a Topologist

Saturday, November 29th, 2008

Sometimes 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.

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.

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.

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.

More 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.

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

### The Wordwide Carnival: A Short Introduction into the World of Mikhail Bakhtin

Sunday, September 2nd, 2007

The work of Bakhtin was disclosed to me by Will McWhinney. He used Bahktin in one of the many versions of his never published book Grammars of Engagement.

The discovery of Bahktin started with a book about Bahktin by Saul Morson & Caryl Emerson. Later I also read many other books and articles like “The dialogical imagination”, “Towards a philosophy of the act”, “Discourse in the Novel”, “Rabelais and His World”, “Problems of Dostoevsky’s Poetics” and “Speech Genres and Other Late Essays”.

Bahktin invented the term Chronotope, “The place where the knots of narrative are tied” or “the intrinsic connectedness of temporal and spatial relationships that are artistically expressed in literature“. Currently we use the term Content or Media for Literature.

A Chronotope is a Topological Concept

Space (Place, Location) and Time (the narrative) are connected by a Knot. A knot is a complicated twist in a rope. The twist is needed when you want to close a system in itself. The simplest topological structure that visualizes twisted space/time is the Moebius Ring.

The Chronotope is the Centre out of which every narrative that we are able to tell is enfolding and unfolding. It produces narratives and absorbs narratives. Bahktin places Folk-Lore, Myth, the Language of the People, in the Centre.

Every narrative contains a twist, a moment where the expansion of the beginning turns to the contraction of the end. It is the moment where the narrative is balanced. The reader holds his breath. It is also the moment where the narrative is aware of itself. It observes the whole.

Sometimes the twist is in the end. You know “who done it”. Sometimes the narrative starts with the twist. There are even narratives without a twist. You know all the time what will happen.

Scientists don’t realize that a scientific article is also a narrative. They use citation to prove they are telling a true story. Funny enough scientific citation has created the Internet. A hypertext is nothing but a citation-structure.

Old narratives produce new narratives. This is always accomplished by Citation. “The word in language is half someone else’s. It becomes “one’s own” only when the speaker populates it with his own intention, his own accent, when he appropriates the word, adapting it to his own semantic and expressive intention. Prior to this moment of appropriation, the word does not exist in a neutral and impersonal language. . . but rather it exists in other people’s mouths, in other people’s contexts, serving other people’s intentions: it is from there that one must take the word, and make it one’s own“”. The cursive sentence between brackets is a citation of Bahktin.

New narratives also oppose old narratives. They are Dialogic. “The entire life of language, in any area of its use . . . is permeated with dialogic relationships“.

Dialogues are converging (Socratic dialogue), diverging and conflicting (Menippian Dialogue) or one sided (the Magisterial Monologue). “Thus at any given moment of its historical existence, language is heteroglot from top to bottom: it represents the co-existence of socio-ideological contradictions between the present and the past, between differing epochs of the past, between different socio-ideological groups in the present, between tendencies, schools, circles and so forth

The Centre generates new narratives all the time. They are a mix of the old and the new. The centre is the Centrifugal Force and this force is powered by Contradiction.

The Institutions, the Ruling Power, are constantly trying to standardize (the Centripetal force). They formulate rules and try to transform the dialogue into a monologue.

The centripetal and the centrifugal force create a huge tension. This tension moves the Wheel of Creation. The wheel always moves through the stages of Order and Chaos. In the middle of the Tornado of Creation is the Centre, the Chronotope. In the centre you will always find rest and inspiration.

The monologue (the magisterial dialogue) is the dialogue of the Magister, the scientist, the manager, the judge, the physician and the teacher. They use science, the law, books or other Magisters to enforce their power. By formulating rules they try to destroy the creative centre (the context).

A context is potentially unfinalized; a code must be finalized. A code is only a technical means of transmitting information; it does not have cognitive, creative significance. Code is deliberately killed context“.

At this moment the Centripetal force is implemented in the Search Engine. Narratives are found by typing codes. This makes it very difficult to find a context. Companies like Google are manipulating the coding. They are paid by the Centripetal Force of the Commercial Companies.

The centrifugal force is never at rest. It always generates new alternatives. The creation of new literature is not bounded by rules. Every time a new structure is defined the Centre starts to play with the rules and generates a new combination. The Centre is not only combining rules it even invents new rules. The Centre is the inventor of new Games to Play.

Producing literature is a process of spiralling out. It follows a cycle but at a certain point in time a new Centre appears and the Cycle starts a new process of Folk-lore. The new centre is always connected to the old Centre. New myths and new fairy tales are created that are a representation of the Spirit of the Time.

Every cycle is governed by a Clock. The periodicity of the Clocks is determinated by the number five. It runs at a frequency of 1250, 250, 50, 10 or 2 years. There are frequencies that are moving faster (the Atom) and much slower (the Universe).

Bahktin has developed a very interesting theory about the development of the Chronotopes in history.

I will tell the Tale of the Chronotopes of Bahktin on the level of the Cycle of Culture (1250 years, 250 years per stage).

Between 450 and 700 the Roman Empire is destroyed by the Huns. It is the time of the Great Deportations. People out of Asia move to the West. They are the ancestors of the Ostrogotes, the Visigotes, the Franks, the Gauls, the Germans and the Celts. 1250 years later they are integrated in what we now call Europe. Between 700 and 2000 the Europeans explore and conquer the World.

Around 1200 the new powers have created many Kingdoms and have organized the Crusades to conquer the Holy Land. To show their power they build the Cathedrals. The Cathedrals are the instrument of the Education of the Masses. The old folk-lore is transformed to the new of the Christian Faith. The old-folklore is not destroyed. Many symbols and important events are preserved. They are cited. The transition of the Sun in Winter is transformed in Christmas. The new apostles are connected to the old animals of the old Wheel of Fortune.

Between 1200 and 1450 the Chronotope of the Greek Romance (Tristan and Isolde, Arthur and The Grail) appears. It is the Chronotope of Being and Destiny. “There are a lot of suddenly’s”. Everything happens. The actor in this Chronotope is without identity. He is tested by destiny. When he has passed the test he is not changed. There is no time and space. Time (“adventure-time”) is reversible. The actors are public figures and space is public space. In the narratives we are able to see and hear everything.

We are in the Middle Ages. In the outside world destiny is also playing its evil game. Western Civilization is almost destroyed by the plague, feminine and wars between the Kingdoms. Even the Christian Empire of Rome is divided by a schism (Byzantium). At the end only a few Kingdoms survive. These Kings become Emperors. They represent God on Earth.

This (1450-1700) is the time of the Chronotope of the Adventure. It is the Chronotope of Becoming. The identity of the actor is transforming. He is responsible for his own actions. Life is full of turning points (twists). The actor wants to take control of the outside world. Space becomes “private space”.

To give the reader insight in what is happening the Observer is introduced. He is a voyeur, a prostitute, a rambler, a rover, a tramp, a spy, a servant or an animal. The observer is not influencing the story at all. He is just watching. Objectivity is also introduced in space (court).

In the outside world we are in the Time of Renaissance (the Era of Discovery). It is the time of new inventions in Science (Copernicus), Art (Leonard Da Vinci) and Religion (Reformation, Luther, Calvin). The Bible is translated in the language of the people. It is also the time of the Great Explorations (Columbus) of the world outside the West. Western Culture starts his quest to control Nature and eventually the World.

The next Chronotope is the Biography (1700-1950), the praise of a public figure who has accomplished something in life. We are moving from the outside world to the inside world of the actor.

Inner space is closed. “This offers a new relationship to one’s own self, one’s own particular “I”- with no witnesses, without any concessions to the voice of a “third person“.

Outside events affect the inner world. The actor is not showing this. In the outside world the actor is judged by his actions and not by his inner space (his essence). “The essence of man is realized not by his condition but by his activity“.

To give the reader a view on the inner space the outsider is introduced. His outside actions are governed by a distorted inner space. The outsider (the fool, the eccentric) acts as a reference.

The actor is a pretender. He is constantly in doubt, grumbling, cynical and sarcastic. He is also passive. He is watching from a distance. Everything is Relative (Bahktin was a fan of Einstein). The only time when the actor is able to show himself is at the carnival. During this short period he is allowed to choose his own mask.

This is the time of the Industrial Revolution. It is the era of mechanization. It starts with the invention of the Mill and the Factory. It ends with the mechanized Consumer watching Television.

Starting in 1950 we are again in the phase of Folk-lore. Western Civilization is moving to a new Centre, Earth.

New myths and legends will be created. They have to be based on all the tales, myths and legends that are available on Earth. Some of them will be a citation. Others will be an opposition.

All kinds of dialogues will take and have to take place. We will experience many conflicts (Mennipian Dialogue). We will also have to listen and ask questions to understand the other cultures (Socratic Dialogue). We have to stop our Western Magisterial Monologue.

In the beginning it will be a Heteroglossia (a many voicedness), a very complicated Knot we have to untie. When we have found the tread we will be able to weave a new web of narratives that will start the phase of the Greek Romance again.

Between now and 2100 “We must make the new by our own effort”.“We have to face problems of reality and human potential, problems of freedom and necessity, and the problem of creative initiative“. We have to become persons “who emerge along with the world and reflect the historical emergence of the world itself”.

In order to understand, it is immensely important for the person who understands to be located outside the object of his or her creative understanding — in time, in space, in culture. . . . Our real exterior can be seen and understood only by other people, because they are located outside us in space and because they are others

We have to write our own Novel. “There is no causality in novels, no genesis, no explanations based on the past, on the influences of the environment or of upbringing and so forth. Every act a character commits is in the present, and in this sense is not predetermined”.

We have to act without hesitation and leave history behind. There is no experience we can reuse. The future is unfinalized (open).

The Magisters are not able to tell us what to do. They are out of tricks. We have to put off our own masks and take responsibility for what we are doing. “There is no alibi for being”. We have to stop pretending and use citations of others to prove we are right.

We are now part of the Worldwide Carnival of Fools. Choose your mask out of the many masks that are available all over the world. Listen to the stories of other cultures and be surprised about the beauty and the experience they are containing. Give the Fools and the Eccentrics, the Outsiders, a chance to help you.

Laugh.

It will be fun.

I want to close with a citation of Paul Feyerabend (Killing Time (1995)): “People, intellectuals especially, seem unable to be content with a little more freedom, a little more happiness, a little more light. Perceiving a small advantage, they seize it, circumscribe it, nail it down, and in this way prepare a New Age of ignorance, darkness and slavery. It is rather surprising that there are still people who want to help others for personal reasons, because they are kindhearted and because they have not been intimidated by principles. It is even more surprising that some of the people can work in institutions despite the greed, the incompetence, the power struggles that seem to surround the noblest cause.”

Do you want to know more about Feyerabend read The Act of Creation: About Fusion and Con-fusion