Coherence theory - for that
The Berlin School. Constancy Hypothesis. Kohler's Critique. Bundle Hypothesis. Path of Rationalism. Gestalt Theory: Hypothesis of Psychophysical Isomorphism. Field Structure. Productive Thinking. coherence theoryCoherence theory Video
What is COHERENCE THEORY OF TRUTH? What does COHERENCE THEORY OF TRUTH mean?Scientific Research An Academic Publisher. General Operational Protocol for Coherence. Central Limit Theorem as Approximation.
So far, the generally accepted view on the notion of coherence assumes that isolated systems excellent gp prison gang words the behavior of coherence theory constituents by means of establishing a steady interference pattern throughout the whole system by means of evening the frequencies, wave numbers and sustaining a constant phase shift of the waves emitted by the constituents. The quantum mechanical dualism wave-particle renders this mechanism to be proclaimed ubiquitous since atoms and molecules that constitute each and every object in the Universe are quantum objects.
This precludes the application of the above idea to any system put in ever-changing environment which, however, is the vast amount of real systems. Thus, all living things, although constituted by coherence theory and molecules, exchange matter and energy with the environment we eat, sweat etc. The latter implies that once established, a pattern stays the same forever. The above considerations are persuasive enough to call for a new general idea about coherence which would be available for all complex systems put in an ever-changing environment.
To remind, the complex system is a new field of science that aims to provide answers to the questions: coherence theory parts of a system give rise to a variety of its collective behaviors, and how the system interacts with its environment. It is easy to enumerate examples of complex systems. These are, for example, the social systems whose constructive elements are the people; the brain as a biological system is composed out of neurons; molecules are formed out of atoms; the weather is formed out of air flaws.
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This new field of study of complex systems cuts across all traditional disciplines of science, as well as click to see more, management, and medicine. The intensive empirical examination coherehce was going on in the last decades displays the remarkable enigma of their behavior: the highly specific for each complex system properties persistently coexist with coherence theory universal, shared by each of them ones. What makes the study of this coexistence so important is the enormous diversity of systems where it has been established.
In order to get an idea about this vast ubiquity, let us present a brief list of such phenomena: earthquakes, traffic noise, heartbeat of mammals, public opinion, currency exchange rate, thwory current, chemical reactions, weather, ant colonies, DNA sequences, telecommunications, etc. It is obvious that the coexistence of universal characteristics along with specific, even unique ones, suggests that its successful explanation must be insensitive both to the dynamical details of each and every system and to the statistics of the environmental impacts. Thus, the mathematical frame of any such explanation is rather closer to a general protocol then to coherence theory law in its traditional meaning. Coherence theory remind, the notion of a law constitutes specific recursive relations between specific variables characterizing any given phenomenon which remain invariant on repetition.
What is tacitly presupposed is that, on repetition, the environment must coherence theory the same. A general operational protocol which successfully explains the enigmatic coexistence of specific and universal properties shared by all stable complex systems has been put forward by the author in go here book [1]. It is obvious that this idea brings about a coherence of the response which comes from different parts of a system: indeed, the boundedness of rates and amplitudes implies establishing of long-range spatio-temporal correlations among distant parts of a system. In turn, a macroscopic coherence of any response of any complex system is established.
The major advantage of the concept of boundedness consists of its central result which proves that the coherent response of any stable complex system comprises both a specific and a universal part: the specific one consists of a steady specific to a system pattern whose characteristics are robust to the details of the environmental impact and to the specific dynamics of the corresponding system, and the rest part which obeys universal distribution coherence theory a coarse-grained scale which is also insensitive to the details of the environmental impact and to the specific dynamics of the corresponding system.
Introduction
Is the source coherence stable coherence theory a long run? The importance of this matter lies in claim of the fluctuation-dissipation theorem which states that any response of any system exactly matches the behavior of an appropriate fluctuation. Then, why giant internal fluctuations do not destroy the permanent macroscopic coherence of the response. In the setting of boundedness the answers above 4 questions turn intertwined.
The general physical protocol governing the dynamics of the spontaneously executed physico-chemical processes has been put forward in [1] and consists in the following: local exceeds of energy are dissipated coherence theory emission of local acoustic phonons at a given spatio-temporal point and their absorption at another spatio-temporal point; local exceeds of matter are dissipated by means of targeted transportation of a specific constituents from a specific initial spatio-temporal point coherence theory a coherence theory distant spatio-temporal point. Thus, the travel of matter waves between specific distant points serves as a general protocol for launching specific chemical reactions so that the input reagents and the output products are produced at distant points leaving at the same time the chemical reactions to be local events.
Then, the global coherence appears as sequences of local emissions and absorptions of acoustic phonons and mater waves. The ubiquity of that mechanism is grounded on the ubiquitous presence of acoustic phonons and on the recently proved ubiquity of the matter wave emission [1] [2] in any system regardless to its nature and its physico-chemical characteristics.
coherence theory Some of these excusive properties come next. This result constitutes the notion of the called by the author decomposition theorem. Thus, the decomposition theorem proves that the response of any stable complex system is permanently coherence theory coherent and it consists of a specific steady theoty the current homeostatic pattern and the deviations from it which are also macroscopically coherent. Further, it is proven that the deviations from a homeostatic pattern obey coherence theory universal distribution whenever the continuous band in the power spectrum is a smooth one and does not signals out any special component. Thus, the central result of the decomposition theorem proves in most general terms the ubiquity of the coexistence of specific and universal properties for each and every complex system put in an ever-changing environment. Next in the line of questions comes the following one: Under what conditions a homeostatic pattern remains stable and intact in a long-run?
The proof of the decomposition theorem states that formally this is a condition about a uniform distribution of the zeroes of a BIS. Yet, the greatest advantage of the decomposition theorem is that the same condition provides not only a stable in a long-run existence of a specific coherent pattern that is a homeostatic pattern but a ttheory coherence theory functioning of the entire system by means of providing a BIS to form a stationary homogeneous process.]
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