Static and Dynamic Chaos
Order and Chaos
Of ferman: Fernando Mancebo Rodriguez--- Personal page.

You can see many of my works, in the following pages:

COSMIC and ATOMIC MODEL ||| Video: Cosmic and atomic model
Double slit and camera obscura experiments: ferman experiment ||| Type of Waves: Questions of Quantum Mechanics
The socurces of gravity. ||| In favour of the cosmos theory of ferman FCM ||| Theory of Everything: summary
Model of Cosmos. ||| Development speed of forces.||| Magnets: N-S magnetic polarity.
Stellar molecules ||| Static and Dynamic chaos||| Inversion or Left-right proof ||| Scheme approach TOE
Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
Short summary atomic model ||| Positive electric charges reside in orbits.||| Mathematical cosmic model based on Pi.
Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds||| Light and photons
Quantum explanation of Gravity ||| Real physics versus virtual physics ||| The window experiment
Atomic Density ||| Linkin: Coeficients Lcf Mcf ||| Atomic nuclei structuring: Short summary
Few points about Cosmic Structuring.||| What is Time||| Simultaneity ||| The Cosmic tree ||| The Cosmic entropy
Interesting and short life of neutrons ||| Leptons field ||| Macro Microcosm, the same thing.
Fourth dimension of space.||| The way to get a unity theory||| UHECR Ultra-high-energy-cosmic-rays
Magnetic or entropy forces: types or classes||| Time observation and time emission ||| The universe expansion
Planetary Mechanics : Short summary ||| Easy explanation of the Planetary model||| State and type of Particles
Higgs boson and fields: wrong way ||| The positron proof: main types of magnetic fields ||| The gravity proof
Current state of cosmology ||| Electromagnetic charges: reason and procedure ||| Neutron: The short and interesting life of
Type of Magnetic Forces ||| The big-bang and Universe' expansion ||| Astronomical chart: Astros, asteroids and microids
Certainty Principle: easy explanation ||| Certainty Principle and the Schrodinger's Cat ||| Wave function collapse
Relativity versus QM ||| The non-curvature of space by matter ||| The Master Clock
Ferman's light analysis ||| Cosmos basic elements, summary||| Comparative numbers in double slit experiment
Stars dimensions ||| Orbital situation of electrons ||| Bright cores versus Black holes
Summary of Ferman cosmic vision and models ||| Atomic nuclei similar to stars ||| Stationary time, but not local neither relativist
Neutrinos versus background radiation ||| Saturn says no to Einstein curvature.||| Da: Average density of energy in the cosmos
Gravity versus magnetic fields of force ||| Black holes cannot exist||| Expansion of materials by energy
Particles in accelerators: almost infinite ||| Trans-dimensional or ideal loupe||| 4D of space, time and matter
5D x 6D = Universal motion x time = Cosmic energy ||| The six cosmic dimensions
Neutrinos ||| Nature of light ||| Hydrogen atom ||| Uncertainty principle: test||| Criticism to Quantum M
Invariance Principle of Time ||| Stuffing forces and heat particles||| Physical waves and imaginary waves
Higgs fields and bosons: Imaginary elements||| Higgs bosons predictions||| Exotic particles
Stars as copies of atoms ||| ERF: Energy rebalancing forces||| Big Bang reality
Radial coordinates.||| Physical and mathematical sets theory. | Algebraic product of sets.
Planar angles: Trimetry.||| Fractions: natural portions.||| Cosmic spiral ||| Inverse values of parameters and operation
Equivalence and commutive property of division. ||| Concepts and Numbers. ||| Bend coefficient of curves ||| Mathematical dimensions
Transposition property ||| Accumulated product: Powers ||| Dimensional Geometry: Reversibility
Priority Rule in powers and roots ||| The decimal counter ||| The floating point index ||| Paradoxes in mathematics
Direct formula for Pi: The Squaring Pi. ||| The pyramids of Squaring Pi. ||| Functions of Pi ||| Integration formulas Pi.
Squaring the Circle ||| Cocktail formula for Squaring Pi.||| Orbital coordinates in motion: Summary
Oscillating function: Cartesian oscillators ||| The ciclo as unit of angular speed ||| Squaring circles ruler and compass |||
Video: Squaring circles ruler and compass ||| The number Phi and the circumference.speed |||
The The extended Pi ||| Angles trisection||| Squaring the Circle regarding Phi||| Video of the two squares method
Discusion about the Pi as transcendental number|||: Not transcendental Pi||| The chained sets|||
Properties of equalities in limits||| The Phi right triangles ||| Pi and the Circumscription Theorem
Pi triangle by squaring the circle : Vedeo Pi triangle ||| Squaring Pi demonstration by circumscription Theorem LatexPdf
Doubling the cube ||| Framing the circle ||| Phi and Pi: relation formula
Squaring circle with Phi (to 0.000005 of ideal ruler and compass)||| Sbits: Static and dinamic orbital coordinates
Squaring Pi and the Floating Point
Spherical molecules. ||| Genetic Heredity. ||| Metaphysics: Spanish only. ||| Brain and Consciousness. ||| Type of Genes T and D
Certainty Principle ||| From the Schrodinger cat to the Ferman's birds ||| The meaning of Dreams
Freely economy ||| Theoricles of Alexandria ||| Rainbow table of elements.||| Satire on the Quantum Mechanics
Cancer and precocious aging ||| Hardware and software of Genetics ||| The farmer and the quantum physicist
Dreams and unconscious logical computing ||| Intelligence and logic ||| How our brain and mind work
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| Pan for frying and poaching eggs ||| The fringed forest
Summary of Hydraulic Chenge Box ||| Ferman fingernails
The Emperor's new clothes and the QM ||| Garbage Triangle: Quantum mechanics, Relativity, Standard theory
Fables and tales of the relativists clocks.||| Nuclei of galaxies.||| Particles accelerators.
Hydrocarbons, water and vital principles on the Earth. ||| Cosmos formula : Metaphysics
Ubiquity Principle of set.||| Positive electric charges reside in orbits.
Chaos Fecundity. Symbiosis: from the Chaos to the Evolution.||| Speed-Chords in galaxies.
The ancient planets Asteron and Poseidon.||| The man and the testosterone.||| Toros say ||| The essence of life
Chaos + symbiosis = evolution ||| Future Cosmology: Satire on Relativity and Quantum Mechanics
The stupid tale of the astronaut that did not age ||| Summary of Ferman cosmic vision and models
Climate due to human activity ||| Humans as herd animals
Video Universal Consciousness||| Who is God ||| Faces of God ||| Web Universal consciousness
Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation ||| The essence of life ||| Cosmic Entity: Metaphysics and Physics parameters


Static and Dynamic Chaos
Order and Chaos

Let's remember firstly the definition of Chaos in Structural Cosmology:

"Chaos is the interaction among autonomous elements or subsets when they stay and move in the same vital space".

(So at first, all interaction or interrelation among elements can be considered initially as a chaotic state, although later on could be necessary to analyze its chaotic degree.
In this sense and in my set theory, three integration degrees of symbiosis of the set elements are given, which go from the scrappily set (where no symbiotic relation seems to exist) to the fusion set where a total integration or symbiosis exists, and the elements already form a much defined physical body.)

That is to say, for creating a chaotic state firstly we need the existence of elements with autonomy and own characteristics, and second that these elements can have interaction among them.
Of this previous explanation we also take out diverse queries that later will try of clarifying.
The most important would be respect to if chaos is a human appreciation only, or if chaos really has physical consistency.

The observable Chaos

A first consideration to keep in mind is that chaos besides being a physical reality that takes place when all the elements of a group are disconnected some from other and they don't keep any type of structural relationship among them, but also chaos in some way is a subjective consideration of the people that observe these set.
Now then, the study of the physical reality would be very difficult and not very useful for us because we would never arrive to observe the physical reality in all their points.
For it, we study the subjective chaos that includes to the real physical chaos and also to the subjective chaos observable for us.

Therefore we should accept ahead of time that our measures are relative or observables measures due to the used units are not completely physical, but conceptual units that are adapted to our understanding.

This way in the static chaos we will see that one ( 1 ) chaotic degree represents the total chaos of the elements of the group and one ( 1 ) order degree represents the total order of the elements of the group.

Classes of Chaos

We will consider two types or characteristic of Chaos that will be the Static Chaos and the Dynamic Chaos.

As their names tell us, the Static Chaos will be given when the elements of the group to consider don't have motion.
You can also consider as static chaos to an instantaneous picture "photo" from a dynamic chaos that is taken for its study and consideration as static chaos.

On the other hand the Dynamic Chaos takes place when the elements of a group move inside the same one, and this way, another type of chaos take place that is the Fluctuation Chaos.
Here the important thing it is not the form and structure that the elements keep among them, but the change of mobility or fluctuation that each one of these elements can have regarding to the other ones.
This way if two elements coming closer one to other and they collide or they are simply rejected themselves changing of direction or speed, we say that what it happened is a double fluctuation due two element have changed of direction or speed.

Static Chaos

The static chaos has an important subjective component, say, that we can consider that a set of elements has chaotic consistency ( or not ) for the simple reason that its elements form figures, lines, etc. always from our point observation, although they could not represent any real physical ordination or coordination.
If for example in any paper we see several separate letters ( u s h e o ) we can say that they form a chaotic set.
But if we unite the letters and we form the orderly word ( h o u s e ) then we say that this set of letters forms an orderly set and no chaotic.
On the other hand if the word is in Chinese, for us the word could follow been quite chaotic. But this is a subjective idea of us, because from the physical point of view both states of the set should have the same consideration.

Now then, although they are subjective forms of observation, for us it is necessary to find methods of measure of these chaotic concepts.

And for it, I expose the following formula:


Previously we have seen two antagonistic concepts, Order and Chaos.
Order represents to the total integration and ordination of elements of the group and Chaos represents the total disintegration and disorder of the same one.
This parallel study is important since when we change the structure of the set, we can realize that what one of the concepts win is lost by the other one: When chaos diminishes � order increases, and vice verse.
Because well, here we have put some very simple formulas that I believe they fit inside the subjective concept that we are giving to this study of Chaos and Order.

In this case the Order is represented by the formula 1/n where n is the number of resultant elements after the integration and ordination of the set.

And Chaos is represented by the formula n-1 / N where n continues being the number of integrated elements and N the total number of initial elements.

In the case that we put previously (house), firstly we would have a set with five disordered elements (( u s h e o )) and after the integration of the letters with obtain a single element (( h o u s e )).
In this case the application of the order formula would be:

Before the integration: (( u s h e o )) 5 elements.

1 / 5 = 0,2 Od ordination degrees

And after the integration: (( h o u s e )) 1 integrated element.

1 / 1 = 1 Od.

--------------------- And as for the Chaos we would have that:

Before the integration: (( u s h e o )) 5 elements.

5-1 / 5 = 0,8 Chd chaotic degrees

And after the integration: (( h o u s e )) 1 integrate element.

1-1 / 5 = 0 Chd.

On the other hand in the static chaos we don't consider to space and time as parameter that intervene in the same one.
In the previous example it doesn't care if the letters are small or giant, or if the set formed during one minute or one year.

Dynamic Chaos

As we have said, the Dynamic Chaos has different characteristics than the Static Chaos since here what interests us it is the changes of motion of the elements that it will produce us that idea of Chaos of the motion.
Now then, in the dynamic chaos as in the static one a subjective great component exists, since perception of motion depend on our observation capacity.
Therefore here we say that the dynamic chaos is the one taken place by the motion changes or fluctuations that can be OBSERVABLE for us.
If the change is so small that we don't appreciate them clearly, this change won't produce us any chaos sensation, and therefore we don't consider it as chaos. Now then, if we can observe it by means of instruments or devices, or we simply want to make it to theoretical title, then yes, we can use any fluctuation for small that is.

To explain and to measure the dynamic chaos I have put the following formula: