User:Mmdini

Philosophy OF Continuity* Mostafa M.Dini† ‡


 * May.2006

† meshkat@ philosophyofcontinuity.com m_mdini@yahoo.com

‡ For more information refer to the website: www.philosophyofcontinuity.com

Abstract:

Fluid theory is applied where gas and liquid media are present. In this study, Laminar , Transmission, and Turbulent ranges are sorted on the basis of fluid parameters. Other regions called STRUCTURED FLOW in the left as well as CHAOS condition in the right are regions never fluid studies have been concerned about. Bonds between elements is vibrating in STRUCTURED FLOW; where smoothly slipping over each other in laminar condition; running in random –but in an averaged- regular-streams for Transmission range; very free in turbulent and unlimited free in CHAOS regions. Material media essence is getting lighter and lighter going from left to right. In this wider range not only Flow exists but also STRUCTURE and CONTINUM are two new terms which sound meaningful. STRUCTURE, FLOW and CONTINUM are key terms defining the entire whole being range. In general the left-added-range is called material and known more or less rigid bodies while the right side is referred as spirit. During centuries all the rules and scientific laws were discovered for STRUCTURE and FLOW .CONTINUM was ignored as an individual concept. Outcome of this black box was considered as unexpected events or phenomena. It was believed that disorders are complex orderliness’ which are not known yet .We see in the website that CONTINUM is more primitive than the two others. Reality of disorderiness is much higher than those we see shaped in order. Structures and Flows are islands in ocean of CHAOS. Creation and destruction of Structures and Flows are from and to CHAOS condition. All these are recycling in the same loops. Philosophy of Continuity is a new subject which studies the nature of being in different ranges and in a generic way, having STATE elements as media. CHAOS for dynamic studies is new and mostly justified with mathematics. In Philosophy of Continuity it is presented in a descriptive way. Solids and dynamic ranges are linked in a cycle by CONTINUM. This is the main message which Philosophy of Continuity as a scientific philosophy provides.

STRUCTURED                                                                                       CHAOS FLOW               Laminar Flow//Transmittal Flow //Turbulent Flow

Extrapolation of                       Fluid Theory                                          Extrapolation

STRUCTURE                            Movement                                              CONTINUM

1. INTRODUCTION TO PHILOSOPHY OF CONTINUITY

A lot of work has been done in recent years on the subject of chaos. New patterns and creations, which happen when chaos increases has been studied. The lacking connection in between and happens before creation of next pattern, which gives a good understanding for sight ability of that is the missing knowledge that needs to be improved. Normally this route could be given by a non-linear dynamic equation, which is not solvable in most cases. The linear systems have definite absolute property and that is the reason they could be separated or added. But, non-linear systems could be integrated and combined but not added. Non-linearity means changes in procedures will act as feedback and simultaneously changes the rules of the system. In short term each point in phase space introduces the possibility of a dynamic structure, but in long term only the attractions direct the system behaviors. So all movements except recent ones are unstable. “Attractions" define specific regulations of structures built in a chaos condition. Generalization and self-similarity rules for structures with the same “attraction” are as follows: General behaviors of different scale but similar in structure are uniform. The measurement procedures which enable us to categorize everything define Generalization. In a region, if the attraction, big or small, to some extent exists, the region keeps its characteristics. In other words fluctuation curves of an event for different periods (instantly, any other second, daily, monthly…) if would remains the same for long history with intensive events occurred during that time, it shows definite structure happen during chaotic current of that event. Each attraction in a dynamic system has a related region. Regions have also boundary lines between each other. These boundaries have statistic nature and possible fluctuation between attractions and describe all kind of structural states. In any moment each state of structure could be indicated by a point in phase. When the structure is changing, the point moves to a new location. Connecting such points gives a curve. In this structure any new variable can change individually, a new degree of freedom will be added to it. Then long-term behavior of the system becomes more complicate to be shown. Fitting a suitable Fractional pattern to the attraction point could give an idea about the routes of distribution events between the points. In parallel, the Fractional pattern should be investigated for new types and varieties. Changes from statistic states to dynamic ones and following by tendency to turbulence and later happening of complete turbulence is a common rule and also popular in fluid science. Having this concept, I tried to see the correctness of extrapolation the same concept into media’s than that of the fluids. It is intended to be used for study of dynamic analysis of systems. Therefore, it may be categorized as a “philosophy of Science “rather a science.

It means that a CONTINUM will change continuously from a standard configuration to complete chaotic shape. Static deals with the theory of equilibrium and structures. Kinetics deals with changes of structured energy as a function of time, so indicating motions. Dynamics deals with the forces acting on structure in motion, with the terms of "work", "energy" and "power". Therefore it is the science of "CONTINUM". Dynamic similarity indicates a solid CONTINUM or STRUCTURE and considers the relationship between the internal, normal, shear and forces acting in systems. Dynamic dissimilarity will be recognized by measuring indicative parameters of kinematics and statistics. If inertial per shear changes will not remain the same, static system tends to show kinetic characters, which could be regular motion or disturbed media with different chaotic behavior. Inertial per shear is variable, while "inertia plus shear" is always constant for a system. Kinetic could play from the maximum to zero. Therefore the ratio of inertia per kinetic will change from zero to infinity. Continuous changes of this "variable" are the law of a dispersion minimization and maximization. It means that a CONTINUM will change continuously from a standard configuration to complete chaotic shape.

Again it means that quantum of CONTINUM in any field in their way, passes from shear forces to very far-distance forces and vice versa. This is the idea which Field-Quantum theory introduces. SUBSTATES play from static to dynamic ones as interactions and further very dynamic ones as radiation particles. In physics, media for particle interactions are the fundamental particles. These are carrier for forces, fields and interactions. In other words, fundamental particles, atoms, molecules and more complicated structures have a threshold temperature which beyond that due to weakening of internal interactions, lose their rigidity in structure and collapse into sub-states. Higher temperature is an indication of higher irregularity degrees of sub-states. On the other hand interaction strength or coupling constant is related to temperature. Each particle accompanies an angular motion (SPIN). Particles with different SPIN because of opposite polarity of distributions make a more normalized distribution. So they attract each other. Two particles with the same spin increase the distribution curve polarity so work repulsive. Interaction mechanisms are normally described based on creation and disappearing of media and by means of the fundamental particles. Maximizing dispersion is DISAPPEARING while minimizing dispersion is CREATION of particles.

Each STRUCTURE is a set of fluctuating sub-states which each one itself is a continuous dispersion maximation and minimization. Meanwhile the set itself has an increasing and decreasing of dispersion. This function could be described based on interval distribution. Radiation and attraction of structures are result of these fluctuating behaviors. Radiation and field interactions are combination of energy quantums. Based on simultaneous or inductive radiation of a state, its stability could be known. FUNCTION of state describes FLOW of interactions configuration. Time *energy quantum is called Plang,s unit. Time *energy could be written as energy / frequency and because energy is related to amplitude. So interaction distribution could be analyzed based on AMPLITUDE and FREQUENCY. CONTINUM is, conceptually and actually, a combination of STRUCTURE and FLOW. The CONTINUM in each space could be described based on DISTANCE FROM EQUALENCY. The CONTINUITY THEORY states the creation or existence of a CONTINUM is based on continuous dispersion maximizing and minimizing of sub- STATES / INTERACTIONS between the limits. There is a continues passing between minimum and maximum dispersion and vice versa. Typical AMPLITUDE-FREQUENCY distributions for structures, regular motions, semi-regular motion or turbulence are configured generally as following:

Kinematical-to-potential energy ratio is an indication of equivalency degree or distance from equivalency and defines configuration: Any configuration stability is given by range of determining amplitudes.

Conclusion:

There is a continuous maximizing and minimizing of number of sub states with variety of static and dynamic properties in any local-time coordination. Any increasing dispersion of sub-states/sub- dispersion is given by its distribution curve; as a decreasing dispersion is also given by relative distribution curve. These dispersion curves are plotted amplitude versus- frequency coordination, which include subsequent increasing and decreasing dispersions. Furthermore dispersion happens instantaneously in mutilation and kinematical properties. The maximum point (highest frequencies of amplitudes) gives localization and structural properties, while the average frequencies of amplitudes give time and motional properties. The lowest frequencies of largest amplitudes induce the radiation and far-distance-forces. If the maximizing and minimizing dispersions are symmetrical, the area approaches a rigid STRUCTURE. Otherwise based on non symmetrically they represent a regular motion to full turbulence. Although the above mentioned model was described for fundamental patterns, it could be applied to any advanced field in other areas.

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