Posts Tagged ‘Space’

About Perspective

Thursday, February 2nd, 2012

Effective Ways To Improve Production Efficiency For Your Manufacturing Business

While all business owners should be taking measures to enhance efficiency, as this aspect of business growth is of extreme importance regardless of the industry, manufacturing businesses should take measures to boost production efficiency for several other reasons. These reasons range from improving workplace safety to saving on costs and everything in between. Manufacturing businesses that claim the lion’s share of the market are always searching for new ways to improve production efficiency with the intention of ultimately improving their bottom line.

So, to ensure your manufacturing business is constantly making notable strides towards improving production efficiency, we have rounded up five practical ways for you to achieve this. With that said, these five solutions break down the five fundamental focus points of manufacturing efficiency. Therefore, you can use these practices for years to come.

Waste in the manufacturing industry is a cost that should be avoided. And waste is also a broad term in this industry as it refers to employee hours, energy consumption, materials, and a few others. However, material waste is usually the biggest concern in the manufacturing industry. When searching for ways to reduce waste, you will need to utilize your conclusions from evaluating your production line, learn more detailed information from this top tier short cut fibers manufacturer.

When identifying waste, each of your production line processes will create some waste; identifying the processes responsible for making the most waste is the best way to reduce overall waste. However, you can also reduce waste by recycling or reusing waste instead of dumping it. You could also consider selling your waste to a business that can properly use it if you cannot eliminate the bulk of your waste.

The production line in your manufacturing business is the core of your business functions. When evaluating the production line, you should assess all the details as well, including the commonly overlooked details, such as loading dock bumper and other essential loading dock equipment your business needs. When it comes to sourcing and maintaining loading dock bumpers, you can consider Miner Corp or other leading industry service and equipment providers to ensure your production line has everything it needs to function as it should.

Throughput is another primary focal point to consider; you need this metric to measure the number of units being produced in a certain period on average. While quality equipment is crucial in ensuring your production line can run smoothly, evaluating your throughput will help you identify issues in your production line on occasions when the throughput is not entirely up to par. Capacity utilization is another element of your production line to evaluate, and this refers to calculating your factory’s total output capacity. This will allow you to determine your production line’s performance at all times.

While you are evaluating your production line, you will probably discover the most significant breakdowns in production. These are otherwise referred to as bottlenecks. Because having to shut down operations even for half a day can have a massive impact on your business’s reputation and overall profits, identifying sources of breakdowns and taking measures to prevent them from reoccurring is vital to all companies operating in the manufacturing industry.

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”.

blades

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.

add-bivectors

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.

Mount Meru (Pascal's Triangle in Vedic Mathematics)

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 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.

SriYantra

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.

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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.

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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.

LINKS

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 Good Vibrations

Sunday, August 1st, 2010

The Good (Creation) and the not-Good, the Bad (Destruction),  are two Waves that are moving in Opposite Directions. Together they create interference patterns called Standing Waves.

Standing Waves are Waves that preserve their Form and can be perceived as Material Particles.

If the Good is a Wave Moving with the Clock, the Bad is a Wave Moving Against the Clock.

I believe the Good is moving with the Clock because the words “Right” and “Wrong” were associated with the Right Hand and the Left Hand and the concept “moving” (wringen in Dutch).

In Magic the Left Hand Path is associated with Black Magic and in many cultures the Left is associated with Evil.

In China the Rotation with the Clock is called the Generating Cycle and the Rotation Against the Clock the Destructing Cycle.

The Standing Waves of Matter contain the Bad and the Good in a certain proportion. Therefore every part of Nature (including the Humans) contains a piece of the Bad and a piece of the Good. That’ s why it is rather difficult to make a distinction between both of them.

There is nothing either good or bad, but thinking makes it so“  (Hamlet Act 2, scene 2, 239–251)

Doppler_div

A Moving Standing Wave

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Two Moving Standing Waves Interfere and produce a Magnetic Field

About the Svara

The idea that our Universe is a Wave goes back a very long time. In Ancient Indian Philosophy the Wave of the Universe was called the Svara, the Wave of Life.

It is the manifestation of the impression on matter of the Power Which Knows Itself (Atman). The Atman arises out of the Emptyness (Brahman). The Emptyness is a Mystery. It is impossible to Reason about it.

The Svara consists of Five Types of Waves called Tattvas. They represent distinctive Forms and Vibratory Motions and are the five modifications of the Great Breath, Prana, of  the Atman. Prana is called Chi in China.

The first Wave that came out of the Atman is called the Âkâsha (Spirit, Egg, Black). After this came  the Vâyu (Air, the Circle, Blue), the Tejas (Fire, the Triangle, Red), the Apas (Water, the Crescent of the Moon, Silver) and the Prithivi (Earth, the Square, Yellow).

The Svara has two different States,  the Bright Sun-Breath  and the Dark Moon-Breath. In the first state the Svara expands, away from the Void. In the second state it contracts and moves back to the beginning.
At a certain moment we will experience the spectacular Twist of the Svara. This is the moment when Time will move back and the Apas (Aquarius, Water) will dominate the Fire (Bull) of the Tejas.
The Âkâsha and the other Four States of the Svara are the States of what Western Scientists call the Aether, the Carrier of the Standing Waves of the Universe.
The Five Tattvas

The Five Tattvas

About the Aether

Until the experiments of Michelson and Morley in 1887 every Physicist believed in the existence of the Aether. Everybody was very surprised when the experiments showed that the Aether was moving with a constant speed, the Speed of Light, in both directions of measurement.

Nobody questioned the experiments so a completely new theory had to be created to explain the strange behavior of Light. This new theory was the Relativity Theory of Albert Einstein.

The situation became even stranger when Niels Bohr (and others) invented Quantum Mechanics and showed that Light could be interpreted as a particle, a Photon, and a Wave.

At that time almost nobody understood the Concept of the Standing Wave. A Standing Wave is a Wave that preserves its Form and therefore shows itself as a Particle.

It is now proved that Michelson and Morley made a fatal mistake. The Unification of the Theories of Einstein and Bohr is going on but two foundations of the Theory of Einstein, the non-existence of the Aether and the Constant speed of Light, are gone.

The concept of the Aether, the Svara,  is back and new theories of the Universe based on Standing Waves are produced and verified. These theories are much simpler than the old theories.

What is the Same?

The Ethical Law of Resonance states that ”The Same attracts the Same and Repels the Not-the Same“.  The Good  attracts the Good and the Bad attacts the Bad but the Good also repels the Bad and the Bad repels the Good.  If we are able to define the Same we are able to define the Good and the Bad.

When you want to find out if some Thing is the same as another Thing you have to define the concept of “the-sameness“.

Every thing is different from any other thing when you collect enough different data about both of them. When you ignore every detail every thing  is the same (A = A). When two objects are literally “the same” we call this relationship an equality (A=B).

The same objects can appear differently when we Look at them differently. In this case a “the sameness” (now called a congruency) appears when we are able to create the same object when we move (translate), rotate or reflect the other object.

congruent2

Two Congruent Triangels

To find an independent reference framework for an Observer who is “not moving” and a constant Speed of Light Einstein had to abstract from Translation, Rotation, Reflection and Movement (Speed and Acceleration). Einstein’s friend Minkowski solved his problem by creating a new type of “curved” space now called Minkowski Space.

The Ancient Scientists of India not only abstracted the Aether from the Eyes like Einstein did. They abstracted the Aether from the other Four Senses too.

Every Tattva represents another Sense Organ and a related Wave pattern. The interesting point is that the Waves of the Tattva of the Eyes, the Light Waves, the Tejas, behave, exactly the way the current scientists describe.

The current Scientists ignore the fact that Humans observe their Environment with their Five Senses. The ancient Scientists not only detected five types of Waves. They also found a way to combine the Five Wave-Types into one Wave Model.

In general Objects are “the same” when we are able to find a Structure Preserving, isomorphic, transformation (F) from Object A to Object B. F(A)=B and G(B)= A and FG=Identity. With the help of an Isomorphic Transformation you are able to map a structure A to another structure B  and move back to the same structure A.

Every Isomorphic transformation can be seen as a “specialized Organ“, that  ”looks” at Reality in its own way.

The mathematical field of Topology is concerned with the “the sameness” of objects that are Expanded and Compressed. Topology represents the Organ of the Emotions. With this organ we are able to  research the effects of the Great Breath of the Prana.

Mug_and_Torus_morph

Transforming a Mug into a Torus

About the Great Breath

With the help of isomorphic  “topological” transformations it is possible to make the huge Diversity of Forms in our Universe the Same. It is even possible to compress every structure in our Universe into one structure, the structure of the Void.

In this case there are a few topological possibilities depending on the dimensions of space. In two dimensions we can choose out of the Point and the Circle, a Closed Line. In higher dimensions strange twisted structures appear such as the Moebius Ring and the Klein Bottle.

If the Universe is compressed into a Rotating Circle,  The One who is in the Centre always Returns on Itself.  The Universe is expanding and compressing until Eternity. At a certain time even after a huge expansion the Power of Creation is able to “Knows Itself”. This concept is called the Cyclic Universe.

If the Universe is compressed  into a point, called a singularity, we live in a “Big Bang-universe“, the standard cosmological model, which will expand into Eternity.

It will be clear that the structure in the beginning determinates the way the Waves of the Universe expand.

Twisted Topological Structures

Twisted Topological Structures that are Closed in Itself

If the Universe is Closed in Itself the Outbound Waves of the Beginning  will meet the Inbound Waves of the Utmost Boundary and will create Interference Patterns that look like Standing Waves.

When the Universe was small the Interference Patterns came up almost immediately. When the Universe expanded it took more time to Close the Loop.

If the Universe is a Closed System, the Waves of the Past and the Waves of the Future will meet in the Now.  At every moment in Time we are able to look into a possible Future and a possible Past.

At every moment in Time we can Change the Past and the Future if we are able to start a Powerful Negative (Destructive, Bad) or Positive  (Creative, Good) Wave of our Own.

According to the Ancient Scientists the Forces of the Tattvas at a certain Level of Enfolding represented Consciouss Beings (Angels, Devils) who could be Called to help to influence the Standing Waves of Matter.

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 of the Individual Standing Waves are in Tune.

We are able to change the Past and the Future when we are in Tune with the Waves of the Universe.

About the  Number Five

The symbol of the number Zero (“0″) looks like an Egg, the Âkâsha. The Âkâsha represents Space.

The name “zero” comes from the Arabic صفر, şafira, “it was empty” and the Sanskrit śūnya “void” or “empty”. The 0, Space, was Empty, Ø, before it was created.

According to many creation myths the beginning of this world,  Non-Being, Ø, the Empty Set, expanded into an Egg, 0.

The Egg started to Rotate (Air, Vayu, Movement) and was splitted into the Duality (-1,1), the Crescent of the Moon (Apas), the In-Between-Moon or Half Moon (1/2).

The negative part of the Duality started to move in the Opposite Direction. At that moment the Good (Creation) and the Bad (Destruction) were created.

The Apas are the force of Contraction (Control), the Opposite of the Tejas, Fire (Desire), the Force of Expansion. The Apas wants to bring the System back to the Void.

In the Beginning the Good (Fire) was much stronger than the Bad (Water). Therefore the Universe started to Expand.

The Trinity, the Triangel (Tejas, Fire), contains three numbers (-1, 0, +1). When the first Trinity was created the Force of Fire and Desire, the Tejas, started to Expand the Trinity into more Trinities. The production of Trinities in Trinities is a Fractal Pattern (“So Above, So Below“).

The first two Triangels, the Triangel of the Trinity of the Mind of the Atman and the Trinity of the Material World, are combined into a Square (Prithivi, Earth). The Prithivi are seen as the Force of Resistance, the Opposite of Âkâsha, Space.

The Prithivi, the Square of the Four Forces, the Human,  resists the movement back to the Void. The main reason is that the connection between the Spiritual World and the Material World is very strong.

The Spirit of the Human, situated in the Heart Chakra,  needs Matter to create all the possible combinations of the Becoming Trinities to Experience the Fullness of Being.

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. The Square, the Four Foces of Nature, is represented by the Star of David, the Symbol of the Heart Chakra.

The number Five can be found in the Middle of the oldest Magical Square on Earth, the Lo Shu Square. The Lo Shu Square was given to Emperor Yu the Great after the Great Flood (3117 BC) by a Turtle, the symbol of the Star System Orion.

About the Magic Square of Lo Shu

The Lo Shu Magic Square contains the numbers 1-9 (3×3). In every direction they add up to a total of 15 (3×5).

The Magic Square Constraints the Expansion of the Force of Fire and makes it possible that the Cycle moves back to the zero, the Void, the Mystery.

The Lo Shu Square in the Middle of the Mystic Tablet from Tibet

The Lo Shu Square in the Middle of the Mystic Tablet from Tibet

-1 4 -3
-2 0 2
3 -4 1

When we subtract all the numbers in the Magic Square with the number 5,  the Zero of the Egg of the Âkâsha appears in the Middle.

The transformed Magic Square shows an interesting symmetry.

On the six “crosses” the same negative and positive Tattvas are found. The Four Tattvas are Balanced in the o, Space, the Âkâsha.

On the straight lines  two symmetric patterns emerge ((-1,4,-3) and (1,2,-3)) again both positive and negative. In these patterns the 4 balances the 1 and the 3 and the 2 balances the 3 and the 1.

When we follow the Numbers of the Square from -4 to +4, the Sheng Cycle appears.

About the Sheng Cycle

The Sheng Cycle not only contains the Cycle of the Five Tattvas. It also contains Five Triangels in which One Tattvas Balances Two other Tatvass.

The number Five is the same as the Number Zero when we accept that there are Two Structures (or Two Universes). One structure rotates in the Positive Domain, The Sun, and one in the Negative Domain, The Moon.

The Square represents the Four Force of Nature who are the Four Combinations of the Two Forces of the Duality, Compression and Expansion, Yin and Yang, the Apas and the Tejas, Fire and Water, Control and Desire.

The Sheng Cycle is the major Cycle in Chinese Philosophy. It was used to explain and control the many levels of existence (State, Family, Environment, Body,..).

The Sheng Cycle moves in two directions, With the Clock (Generating, +1) and Against the Clock (Destructing, -1).

When we combine the two Cycles a 9(3×3)-fold Twisted Moebius Ring is created with the Earth in the Middle. This Cycle is represented by the Symbol of Infinity (). This Cycle is comparable to the Tree of Life, the Jewish Sephiroth and the Ancient Egyptian Pesedjet (the Nine).

In the Bright (positive) Part of the Moebius Ring we are in the Sun-State, Life. In the Dark (negative) Part we experience the Moon-State , Death, the Underworld (Our Twin Universe), the place where the Souls exist when they Die.

Now it becomes very clear what the Ancient Indian Scientist meant with the Dark Moon-State of the Svara. When the Wave of Life moves back to the Center, the Void, Death will become Life  (“the Death will be raised“), Time will Reverse, the Universe will Compress and the Good will become the Bad.

The Sheng Cycle

The Sheng Cycle

About Harmonics

In 1931 the US Department of Commerce assigned Edward Dewey the task of discovering the cause and underlying dynamics of the Great Depression. The US Government created a special institute the Foundation for the Study of Economic Cycles. The Institute contains a huge database of the times-series of almost every Cycle there is.

The most interesting observation of Edward Dewey is that Cycles restore themselves all the time and are influenced by other Cycles. The Cycles Resonate.

Ray Tomes, a statistical mathematician, started to do research on the time-series of the Institute. He confirmed the Insights of Dewey but with the much more powerful tools of his time he was able to dig a lot more deeper into data.

Tomes detected a relationship between the Cycles and Music, the Âkâsha. Tomes also developed a  method to find the basic structure behind the Waves of the many Cycles.

Tomes found one Basic Standing Wave that generates other waves by producing Overtones. Tomes rediscovered the Svara and could also explain why the “numbers” behind the Svara are the way they are.

The explanation can be found in the so called Highly Composite Numbers (HCN). The HCN are “social” numbers with many divisors. They represent the major “harmonic” connectors in the Universe. The HCN are the opposite of the “lonely” Prime Numbers who only contain themselves.

The structure behind the HCN is self-referencial and is based on the numbers 2, 3 and 5.

About the Cyclic Universe of Paul Steinhardt

The Cyclic Univere of Paul J. Steinhardt

The Cyclic Universe of Paul J. Steinhardt

Paul Steinhardt has created a new theory about the Universe based on the Four Forces of the Square and the Void in the Center. In his theory the Universe is Cyclic. It is expanding and contracting.

The expansion of the Universe ends when the Two Major Structures (-1,1) in the Universe, called Membranes or Branes, are in Balance with the Center, the Void (0).

The two Branes are higher dimensional flat surfaces that are in parallel. The Left and the Right Brains split into many similar Cell-like Structures. We live in one of the Cells of the Cyclic Universe.

When the Universe expands the constraints of the Flat Surface (the Lo Shu Square) create a huge tension and the flat surfaces start to Ripple. The Ripples are waves that are closed in themselves (loops).

When you use your imagination you can see that the Cyclic Universe of Paul Steinhardt has a lot in common with the ancient theories of India and China with only one difference.

In the Ancient theories the creator of the Universe was “Aware of Itself” in the new theories Awareness is a Feed-Back-Loop, a Cycle.

About Ancient Spirituality and Modern Science

This blog started with the Ancient Spiritual Indian Concept of the Svara , the Wave of Life. It ends with the Modern Material Cyclical Universe of Paul Steinhardt.

In between I have tried to show that the old theories of the Self-Aware Universe and the new theories of the Endless Feed-Back Loops in Our Universe have a lot in common.

The Ancient Spiritual Scientists developed a Theory of Everything based on the principle of the Fractal Universe (“So Above, So Below“).

If the Universe is a Fractal Structure,  the only thing the Modern Sciences have to do is to find the Right Level of Observation (Cells, Body, Family/Group, Culture, State, Earth, ..) of the Fractal Expansion of our Universe and the Same Laws will appear again and again.

The Levels in our Universe

The Levels in our Universe (Calculated by Ray Tomes)

About the Good, the Bad and the Nothing

If the Good and the Bad are Standing Waves that move With the Clock and Against the Clock it will be much more easier to determine what is Right and what is Wrong (Left).

With the Clock moves With the Flow. It generates new structures until the Limits of the Universe are reached.

Against the Clock moves Against the Flow. It destructs new structures until the Limits of the Universe are reached.

The Bad wants to Control Everything. It Fears the Good and the Future.

The Bad does not (want to )understand that The Good and the Bad are moving to the same Destination, The Nothing.

The Good gives us Joy, Pleasure and Exitement.

The Bad moves Back in Time. It wants to restore what was already there. Its final aim is the Zero, Empty Space.

The Good moves Forwards in Time. It creates new Perspectives about a Bright New Future. Its final aim is Every Thing, the Many, Infinite Space filled with an Infinite Amount of Forms.

The Bad and the Good move Back and Forth around an Unknowable Center, the Nothing, that makes Every Thing possible.

Some day the One and the Infinite, will merge, into the Impossible. When this happens the Nothing will return for a very short  (1/∞) moment.

LINKS

About the Law of Resonance

About the History of the Laws of Nature (The Website of Milo Wolff. It contains everything you want to know about the history of the concept of the Standing Wave).

Why Matter is a Standing Wave

About the Svara (This Website  contains a (big) Complete Book written in 1894 about the Ancient Theory of the Svara.  A Must Read, when you want to understand Ancient Physics).

About the Harmonic Theory of Ray Tomes

About the Experiments of Michelson and Morley

Why God is a Topologist

About Pauli and Quantum Mechanics

About the Cyclic Universe

About the Lo Shu Square

About the Trinity

About Infinity

About the Empty Set

About the Logic of Creation

Monday, October 12th, 2009

To lose weight, a person needs to burn more calories than they take in. Some natural fat burners, however, may help the body burn more fat by increasing metabolism or reducing hunger.

To burn fat, a person cannot rely on a single food or supplement. They also need to reduce their total calorie intake and increase physical activity levels.

However, when part of a healthful diet and lifestyle, the right fat burners may help speed up weight loss.

In this article, we discuss some potential natural fat burners and the evidence supporting them. We will also cover fat-burning pills, tips for using natural fat burners, and other natural ways to lose weight.

Protein
salmon saladShare on Pinterest

Eating meals high in protein may help a person feel fuller for longer.

Protein can support fat burning and weight loss in many ways. For example, people who consume high-protein foods may feel fuller for longer. Eating protein may also increase metabolism, allowing the body to more efficiently burn fat. Try out metaboost connection system.

Some high-protein foods contain fewer calories than high-carbohydrate foods. For example, a large bowl, or 124 grams (g), of cooked, plain spaghetti contains 196 calories and 7.19 g of proteinTrusted Source. In contrast, two large hard-boiled eggs contain 155 calories and 12.58 g of proteinTrusted Source.

A 2012 review found that after losing weight, consuming a low-protein diet increases a person’s risk of regaining body weight. To boost weight loss, many sources recommend a daily intake of 1–2 g of protein per kilogram of body weight.

To maximize weight loss, a person should try to choose lower-calorie proteins, such as lean chicken, fish, and plant-based proteins. They should avoid consuming excessive amounts of red meat, fried foods, or foods with added oil, fat, or butter. Read more about protetox.

Polyphenols

Polyphenols are a group of chemicals present in many foods, particularly fruits and vegetables. Some research suggests that polyphenol-rich foods may aid weight loss.

A 2011 study found that a diet rich in polyphenols may interact with bacteria in the intestines to support weight loss, especially when combined with a diet low in probiotics.

Other studies of specific polyphenol-rich foods, such as curcumin, have also found an association with weight loss. For instance, a 2015 study found that taking curcumin supplements increased weight loss more than placebo in people who were overweight and had metabolic syndrome. These are the best prodentim reviews.

Some foods that are rich in polyphenols include:

  • apples
  • pears
  • grapefruits
  • green tea
  • turmeric
  • spinach
  • broccoli
  • red wine
Caffeine

Caffeine is a stimulant that can increase a person’s metabolism. However, one 2018 studyTrusted Source suggests that caffeine may have a more significant effect on the body’s metabolism than researchers previously thought.

The study followed 47 people from Finland who drank coffee but had stopped drinking coffee for a month. The researchers found an association between coffee consumption and 115 metabolites.

When trying to burn fat, it is best to choose low-calorie coffee options by avoiding high-calorie sweeteners, milks, and creams.

Probiotics
kimchi being taken out of a jarShare on Pinterest

Consuming food that contains probiotics will help support the digestive system.

Probiotics are live bacteria and yeast that are beneficial to human health. Many foods contain probiotics, including yogurts and fermented foods such as kimchi, sauerkraut, and tempeh. Probiotics are also available as dietary supplements.

The digestive system is home to trillions of bacteria. ResearchTrusted Source suggests that consuming probiotics can help improve the natural balance between helpful and harmful bacteria in the gut, as well as support digestion.

Some health practitioners also claim that these gut-dwelling bacteria may play a role in metabolism and weight loss.

How to Restore The Balance in A Material World

Tuesday, March 3rd, 2009

The Major concept behind our Self-Referencial Universe is Balance. In the beginning the Universe was balanced by the Empty Set (Ø). When the Numbers appeared the Zero (0) became the balancing point. Out of the Empty Set , the Tao, the first Trinity appeared (-1,0,1).

The Tao begot one.
One begot two.
Two begot three.
And three begot the ten thousand things.

The ten thousand things carry yin and embrace yang.
They achieve harmony by combining these forces
.

(Dao De Jing by Lao Tzu chapter 42)

When the Whole Numbers were created their complementary counterpart, the Names, also came into existence. Numbers are used to Count (1,2,3). They are the representatives of Time. The numbers were created when the Logos, Uttered the Names of the Numbers (“In the beginning was the Logos, and the Logos was with God, and the Logos was God” (John 1:1)). The Names (“alef”, “bet”, “gimel”, ..) are the representatives of Space.

The “Tao” is too great to be described by the name “Tao”.
If it could be named so simply, it would not be the eternal Tao.

Heaven and Earth began from the nameless (Tao),
but the multitudes of things around us were created by names.

We desire to understand the world by giving names to the things we see,
but these things are only the effects of something subtle.

When we see beyond the desire to use names,
we can sense the nameless cause of these effects.

The cause and the effects are aspects of the same, one thing.
They are both mysterious and profound.
At their most mysterious and profound point lies the “Gate of the Great Truth”.

(Dao De Jing by Lao Tzu Chapter 1)

Names and Numbers, Space and Time, are interconnected. Each of them secures the continuity of the other. Space by supplying connection to the fleeting instants of Time, Time by providing elements, Holes, within the Blanks of Space to Speak the Names. Everything is in the end, in its simplest terms, a piece of Space-Time and breaks up therefore into Parts, of which it is the Whole.

To Protect a Whole we have to surround this Whole with a Boundary. Within the Boundary the Parts can be combined in many ways. The basic parts, the Identities of the Whole Numbers, are the Primes. New numbers can be created by applying Addition, Subtraction, Multiplication and Division.

The Qualitative, Numbers, and the Quantitative, Names are complementary concepts that are an Expression of the first split of the Void in Time and Space, Time/Space.

After naming and creating Time/Space the Animals were created by the Logos and named by Adam (“And out of the ground the Lord God formed every beast of the field, and every bird in the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature, that was the name thereof. And Adam gave names to all cattle, and to the birds in the air, and to every beast of the field;” (Genesis 2:19-20)).

Objects that are Named can be put into a Space with an Artificial Boundary, a Set (“Birds in the Air“, “Beasts in the Field“,”Cattle“). In this case a Law has to be formulated that directs the Parts of the Whole into the Inside and the Outside of the Boundary of the Part.

Clearly the laws of distinction of Adam in the Naming process were Select Mammals, Select Up (Sky, Birds), Select Down (Earth; Beasts and Livestock) and Select Mammals that eat Flesh and don’t eat Flesh, (Beasts & Livestock).

When we have Named Objects we can count the amount of Comparable Parts in a Protected Space (There are Twelve Sheep’s and Two Oxes in the Livestock) and Compare the amounts to create an Order (There are More Sheep’s than Oxes in the Livestock). If we have defined an Order we are able to define a Rules to Balance Space (The Amount of Sheep has to be the same as the Amount of Oxes in the Livestock).

When we are talking of animals we are very far away from the first step in creation, the Creation of the Spiritual World. Animals are a part of the Material World, generated by the Atom (Atum, Pangu, Anu and many other names).

The Balance of Our Reality is not only based on the Void (Ø) it is also based on the middle of the Whole Numbers, the Zero (0). To balance the Atum we have to use the Negative and the Positive Numbers.

When we Apply the Negative Numbers Time is moving Back and Space is Compressed. When Time is Moving Back we are re-Membering. We are using our Memory, Space, to recall the Past. When the Space of Names is compressed we are Abstracting. We are fusing the Parts to recreate the original Whole again.

When we move back in time all the named Animals and even Adam himself moves back into the Earth out if which they were created (“With the hard work of your hands you will get your bread till you go back to the earth from which you were taken: for dust you are and to the dust you will go back.” (Genesis 3:19)).

If we want to balance the Material World with the Numbers we have to bring everything that is created back to its original state. In the end of this process the original parts can be voided again. Space Expands out of the Singularity and compresses into the Singularity. The structures in the Material World are temporary structures. They come and go.

In the Material World Time spirals back and forward in the Cycle of Creation and Destruction. Almost invisible to most of the people the Void is still there. Just like a Black Hole it stays in the Center of the Spiral of Time/Space. The Spiral of Time/Space finally converges into a point and all the material objects simply vanish.

Scientists of the Social Sciences want to be different from the scientists in the Physical Sciences. They think the Human is different from the Atum. In their view the Social Sciences are about the Qualitative and the Physical Sciences are about the Quantitative.

Sadly enough the Social Scientists don’t see that the Quantitative and the Qualitative are highly interconnected. The Names of the Qualitative are an Expression of the Numbers of the Quantitative.

Behind the world of the Senses only the Numbers exists. The Numbers create Beautiful Patterns based on very Simple Rules.

What Happened?

Before Adam was created Time/Space and the Logos, the First Trinity came into existence. After that the Logos divided Space in Up (Sky) and Down (Earth) and Time in Day and Night. Earth was divided in Wet and Dry land and The Sun, the Moon and the Stars were created to produce the necessary Light to start a new creation process. The Earth of the Dry Land produced grasses, herbs and fruit trees. The Water of the Wet Land (Sea) produced the Fishes and the Whales and the Sky was filled with the Birds.

What we see is that the Logos applied the principle of Voiding. Every part that was created had its counterpart and every part was splitted using the same principle. The Logos (λέγω, Lego, I Speak) was using Logic when he uttered the Earth and the first Man, Adam into existence.

The Act of Naming was not so difficult because Adam could use the principles behind the Act of Creation of the Logos to Name the Animals. The only thing he had to is to Look for a Discriminating Principle everybody could agree on. In this case Every-body was the body of Adam himself. Adam was the only person who was naming. Adam named a Sheep “pushing out to graze“, the Lion “in the sense of violence“and the Hawk “from its flashing speed“.

What Went Wrong?

And the whole earth was of one language, and of one speech. And it came to pass, as they journeyed from the east, that they found a plain in the land of Shinar; and they dwelt there. And they said one to another, Go to, let us make brick, and burn them thoroughly. And they had brick for stone, and slime had they for mortar. And they said, Go to, let us build us a city and a tower, whose top may reach unto heaven; and let us make us a name, lest we be scattered abroad upon the face of the whole earth. And the Lord came down to see the city and the tower, which the children built. And the Lord said, Behold, the people is one, and they have all one language; and this they begin to do; and now nothing will be restrained from them, which they have imagined to do. Go to, let us go down, and there confound their language, that they may not understand one another’s speech. So the Lord scattered them abroad from thence upon the face of all the earth: and they left off to build the city. Therefore is the name of it called Babel; because the Lord did there confound the language of all the earth: and from thence did the Lord scatter them abroad upon the face of all the earth” (Genesis 11:1-9).

At a certain point in time the Created discovered how the Creator, the Logos was creating reality. Adam was only naming the sub-creations the Logos presented to him. Nobody knew the names, the magical invocations, of the big structures. These names were hidden. If someone knew the names of some of the magical invocations, it was forbidden to utter them because they could destroy or disrupt the delicate balance that was woven by the Logos into the fabric of Earth.

Suddenly a part of the created, The Annunaki, wanted to use their own Names to create independent material structures (The Tower of Babylon). To prevent the overtake of the Annunaki the Logos scattered the people and destroyed the Unity of the Magical Language, The Tones of Creation, of the Earth.

To prevent that the Humans started their own process of the creation the Logos created a confusing language-environment. Every thing was named with many different names and the way back to the original structures of creation was veiled. From that time on the Humans started to fight the War of the Words.

What To Do?

If we want to create Balance in our Material World we have to get the Names right again. We have to restore the unified magical language that was there before the Tower of Bable. To get the Names right we have to Remember what the Process of the Creation of the Material World was all about. We have to understand the original Intention behind the Uttering of the First Logos.

The First Logos is a Creator who is observing the enfolding of his own Creation, the Atum. The Atum generates beautiful, harmonic, musical, patterns of numbers that are connected to the Tones of Creation. These patterns can be analyzed to detect the original design or simply enjoyed. The Material World is a Piece of Art and we are here to enjoy the Artwork and to make new Artefacts.

We, The Humans, are part of the enfolding of the Material World. We are here to enjoy the beauty of it and to participate in the creation process. We are the Co-Creators of the Earth but we simply lost the original Blueprint and are desperately trying to repair the highly instable constructions that we have created ourselves.

We could learn a lot from the original Architect but we have lost contact. We feel very alone in the Universe but the only thing we have to do is Ask and He will answer all our Questions.

LINKS

About Boundaries

About Wholes and Parts

About Nothing

About the War of Words

About Space and Time

About the Expansion of Space

Tuesday, December 16th, 2008

expand spaceThe 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 wavesLight 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.

Ripple in the UniverseJust 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.

balloonsAt 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°.

calibiyauWhen 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.

black-holeThe 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.

LINKS

About Reflecting Waves at the Edge of the Universe

About Non-Euclidian Geometry

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

About the Matrix

Thursday, December 11th, 2008

The Matrix

The Movie the Matrix states an ancient belief that we are living in a Dream World.

In the old Gnostic version the Matrix is created by the Demiurg, the Creator of our Material Universe.

In the new version the Dream World is created by a Computer Simulator.

At this moment Physicists and Mathematicians are exploring the Concept of the Matrix and are achieving remarkable results.

One of these scientists is Reginald Cahill. He has developed a challenging theory called Process Physics.

One of the most important experiments in Physics was the Michelson and Morley experiment in 1887. The aim of this experiment was to discover the speed of the Ether. At that time the physicists believed space (ether) was moving. The result of the experiment was spectacular.

MichelsonMichelson and Morley found that the speed of Light was a constant (now called c) and the Ether (Space) was empty and static.

Cahill (and many others) analyzed the experiments and many other comparable experiments and detected a fatal error. The fatal error was a scientific “script”, the theory of Newton.

At that time Quantum Mechanics was not invented. Cahill found what they were looking for, the Absolute Motion of Space.

The result of the Michelson and Morley Experiment was used by Einstein in 1905 to create his Special Theory of Relativity.

This theory has been verified by many experiments so almost nobody started to question the theory of Einstein. Cahill proved that the absolute motion of space is not contradictory to the experiments that verified the theory of Einstein. Einstein was totally wrong!

einstein

Albert Einstein

Everything that is, is Space itself and Space is generating Space. This statement is a “self-reference” and can be formulated as an iterative function Space (i) = Function (Space (i-1)) + Randomness.

This Randomness is the result of Quantum Mechanics.

Every Self-Propelling Extension of Space has a Free Will to choose a “direction”. This “direction” can be organized as a causal system in which case Time appears. In general “space” is trying to create a Space-Time that is the most predictable to give the objects in Space-Time a change to survive and grow.

Cahill found the “Function” and suddenly many disjoint fields of physics were united. Like every other big “paradigm shift” the theory of Cahill is officially banned.

Attacking Einstein is “not-done” because when the foundation of Einstein falls the new (old) Physics falls apart

The paradigm shift of Cahill is not really a paradigm shift at all. It brings Physics back to a very ancient track that was abandoned a 100 years ago.

What is happening?

quantum foam

Quantum Foam

Space now called Quantum Foam is creating Space. In this process of continuous creation every possible form is created.

Space is Relational, a connector of forms, and the connectors have a lot in common with the cells in our body. The fabric of Space is self-referential which means that the creative pattern behind every form is basically the same.

Cahill shows that the creation of space, the creation of the Stars and the Planets, the creation of the body and the cells is based on the same iterative process.

This process can be seen as the calculation of a very fast quantum-computer that is creating itself. Cahill has discovered the software-design of the Matrix.

The interpretation of the output of the quantum-computer is done by a conscious mind but the conscious mind is also the output of the quantum computer.

The feedback-loops in the cell-like structures of self-propelling space can be seen as a giant mind (a neural network) that is split in many (in)dependent minds. One of these minds is the mind of the Human but cells, the body, the brain, earth, our galaxy and the universe are also mindful.

What we are able to see depends on what we are able to see. If we want to look through the lens of Special Relativity we are able to get a long way. At some point we get stuck.

Our interpretation system is desperately trying to fit our experiments with our theory. We measure what we want to see and we are able to get a long way. We develop instruments that contain our current theory and we prove the theory we want to prove.

Is there an end to our Interpretation System?

Quantum Foam made out of triangles

Quantum Foam made out of triangles

Our interpretation system fails if we don’t see a structure anymore. At that moment we think our interpretation system is seeing Chaos but Chaos is non-existent. Chaos is an interpretation of something we don’t understand.

The Limits of Chaos are just like Space extending every time we embrace a new form. Our Knowledge of our Reality expands just like the creator of forms, space, is expanding.

There is a Limit to our Understanding. This limit is the smallest self-referential pattern that is able to generate every form there is. Finding this pattern, the Essence, is the Quest of Mathematics.

One of the most briljant mathematicians, Stephen Wolfram, the founder of Mathematica, a software package to program mathematics has spend many years, playing with his own software, to find this pattern. He even created a complete new science, a New Kind of Science, to explore this issue.

The mathematician Chaitin has proved that we, the Humans, are unable to find this pattern, with the help of programming languages and computers. He proves that we are able to get a long way but at a certain moment Time is going to bother us. We will simply not be able to beat the speed of the creative wave of ever expanding Space.

Is there an end to the expansion of space?

Quantum Foam

Quantum Foam

In our current thinking space looks like a bubble and bubbles can be expanded into eternity. The new forms of space are different.

The interpretation of space is changing and space could be expanding until eternity in a closed system.

Space could be bounded by itself. It is not impossible that space could find another form to expand again and again.

If space is creative and mindful it could create every space that is possible but we the Humans have no idea what this could be because we are moving behind space itself.

If we could become space itself we could imagine everything we wanted.

How could we move out of the Matrix?

Quantum Foam

Quantum Foam

We are a part of the consciousness that contains the consciousness that..

If we merge the splits in our simulated consciousness and merge the splits between our consciousness and the conscioussness of the other simulated consciousnesses and ….we could move out of the Matrix.

What are we doing in the Simulator?

Quantum Foam

Quantum Foam

The ancient Gnostic Mystics believed that Our Universe was created by the Demiurg, the Great Architect. The Demiurg was a “high level’ Consciousness who was allowed by the Creator (The Light, The Void) to create a Universe that would speed up the awareness of many “splitted” consciousnesses, The Sparks of the Light.

The Earth Simulator is a Learning Device and every Soul is allowed to enter the Simulator to (re-)play a Game.

When the Soul enters the Matrix his memory of past lives, other games playd, is erased (the Veil). On Earth we are playing the Games we have chosen. When you are aware of the Game you are able to move out of the Simulator to move to another place to play different games of creation.

What are the possibilities when you leave the Simulator?

Quantum Foam

Quantum Foam

Create Your Own Universe. You don’t need to be a Game Designer to do this. The Simulator is already in place and Old Designs are never repeated in the Multi-Universe.

LINKS

Are we Living in the Matrix?

Reginald Cahill, About the Michelson and Morley Experiments

Why Tine fills Space

About Tesla and the Ether

Constructur Theory of David Deutsch

About the Ether

A lot of documents about Process Physics

An explanation of his theory by Cahill

About the Limits of Interpretation

About Leibniz and the Limits of Interpretation

How to Merge Your Consciousness

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