TFNR - Complexity - Revision history

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Paolo: Created page with "Complexity is '''a measure of the content of Information''', the level of organization of the Action, of a Structure, of a Form. It is '''a measure of the..."

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Created page with "Complexity is '''a measure of the content of Information''', the level of organization of the Action, of a Structure, of a Form. It is '''a measure of the..."

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Complexity is '''a measure of the content of [[Information]]''', the level of organization of the Action, of a [[Structure]], of a [[Forms|Form]].

It is '''a measure of the causal and variational distance of the form from the absolute homogeneity''', a measure of the inhomogeneity of a form. It measures the [[Causality|causal]] [[action]] and its [[Variationality|variational]] effect necessary to produce that form starting from the absolute homogeneity of the distribution of the [[Elementary Events]] in / of the [[Elementary Field]], the most fundamental form of [[Existence]].

Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the quantity and level of [[organization]] of the events that produced the above mentioned Structure or Form.

It is '''the result of the incessant [[evolution]] of Information'''. Evolution of [[Events]], Processes, [[Structures of Information]] and Forms.

In other words, complexity represents '''the product of the [[Process of Formation of Reality]]''', the emergent organization, produced by the incessant evolution, fed by the [[Force]] (Force Relation - Operator REL), which operates to all levels of the Reality.

In a statistical sense, it represents '''a measure of the degree of organization of a system''' or of the [[Universe]] as a whole. In the continuous scale that goes from the absolute chaos to the absolute order, evolutionary processes build increasing levels of organization, which correspond to peaks of complexity that we observe in Reality.

It's in the dynamic equilibrium, or, better said, '''in the imbalance in continuous tension towards an unattainable equilibrium''', that the interaction between anabolic processes (constructive - Operator [[Organization]]) and catabolic processes (destructive - Operator [[Transformation]] produces the [[Forms]] of the [[Reality]]. Enthalpy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now turn towards chaos (e.g. second law of thermodynamics) now towards order (systemic principle of emergent order).

From this definition, it follows that the most complex existing thing is the [[Universe]] itself. Furthermore, if we hypothetically consider the human beings as the most complex existing forms and planet Earth as the only celestial body populated by humans, the Earth should be considered more complex than the rest of the Universe. The definition of complexity therefore incorporates both quantitative and qualitative aspects.

All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between the [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of existence, complexity represents the level of interconnection of the network of relations organized between the [[Microstates]] associated with the points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of more and more complex levels of existence, linked by a network of relations that construct an infinite hierarchy of emerging complexity in incessant evolution.

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 It is in the dynamic equilibrium, or rather, '''in the imbalance in continuous tension towards an unattainable equilibrium''', that the interaction between anabolic processes (constructive — Operator [[Organization]]) and catabolic processes (destructive — Operator [[Transformation]]) produces the [[Forms]] of [[Reality]], of which the Operator [[Selection]] allows the causal and variational permanence. Negentropy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now veer towards chaos (for example, the second law of thermodynamics) now towards order (systemic principle of emergent order).
-From this definition, it follows that the most complex thing in existence is the [[Universe]] itself. Furthermore, if we hypothetically consider human beings as the most complex existing forms and the planet Earth as the only celestial body populated by human beings, Earth should be considered more complex than the rest of the Universe. The definition of Complexity therefore incorporates both quantitative dimensions and qualitative aspects.
+From this definition, it follows that '''the most complex thing in existence is the [[Universe]] itself'''. Furthermore, if we hypothetically consider human beings as the most complex existing forms and the planet Earth as the only celestial body populated by human beings, Earth should be considered more complex than the rest of the Universe. The definition of Complexity therefore incorporates both quantitative dimensions and qualitative aspects.
 All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of Existence, Complexity represents the level of interconnection of the network of organized Relations between the processes that animate the event points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of increasingly complex levels of Existence, connected by a network of Relations that build an infinite hierarchy of emergent Complexity in incessant evolution.

@@ Line 3: / Line 3: @@
 In fact, this term, so important for understanding and evaluating the Evolution of a system, of an object, of Reality, of the entire Universe, is '''intimately linked to the themes of Organization and of the continuum that leads from chaos to order'''. And '''the object of Organization and its Evolution is certainly Information''', Relations between Events, the '''Processes that represent and describe the Dynamics of Reality at all levels'''. At all levels of Reality, levels of Complexity of Reality, precisely.
-Information, Relations, chaos, order, Organization, emergency, systems, Evolution. These, along with many others, are the key terms to understand this elusive concept, Complexity.
+Information, Relations, chaos, order, Organization, emergence, systems, Evolution. These, along with many others, are the key terms to understand this elusive concept, Complexity.
 Before venturing into the difficult attempt to find a satisfactory definition, '''let's make a clarification'''. Complexity is a concept that has assumed particular relevance in and thanks to systems theory. The concept is therefore somewhat tied to the relations between parts in a system. Here, we will try to partially overcome this conceptual constraint. We must '''try to imagine that elementary objects (not composed of parts) but at the same time complex (which exhibit complex behaviors, as if they were composed of a significant number of parts) can exist'''.
@@ Line 9: / Line 9: @@
 Let's take for example an object that is commonly considered elementary, a particle, '''the electron'''. From observations it is clear that '''this particle is not composed of parts'''. But it exhibits '''bizarre behaviors''', balanced between particle and wave, localized and non-localized, solid and impalpable, as if by magic it could reconfigure itself, as an object composed of infinite parts intimately interconnected. Yet no part can be detected or hypothesized.
-In this System of Knowledge, in the model that we are trying to build and outline, as we will see better in the next chapter, an electron is a  Structure of Information, type Vortex / Particle, sub-type Elementary. '''Elementary does not mean that it is something monolithic, immutable'''. But not even a system formed by parts. It is a Structure that represents '''an organized set of elementary processes''' (Events organized by Relations, correlations of temporal distributions of elementary spatial fluctuations), a virtually infinite number of processes, as infinite as the event points of the Elementary Field that support its Existence and Essence / Form. "Infinite" as the points of the real axis between two defined extremes are infinite. "Virtually" because the elementary fluctuations resonate around the Planck scale, in fact limiting its infinity to an extremely high number and to spatial and temporal extensions characteristic of that infinitesimal scale.
+In this System of Knowledge, in the model that we are trying to build and outline, as we will see better in the next chapter, an electron is a Structure of Information, type Vortex / Particle, sub-type Elementary. '''Elementary does not mean that it is something monolithic, immutable'''. But not even a system formed by parts. It is a Structure that represents '''an organized set of elementary processes''' (Events organized by Relations, correlations of temporal distributions of elementary spatial fluctuations), a virtually infinite number of processes, as infinite as the event points of the Elementary Field that support its Existence and Essence / Form. "Infinite" as the points of the real axis between two defined extremes are infinite. "Virtually" because the elementary fluctuations resonate around the Planck scale, in fact limiting this infinity to an extremely high number and to spatial and temporal extensions characteristic of that infinitesimal scale.
 Why do we assume that a particle that is commonly considered elementary, one of the most elementary particles of the Standard Model, is a complex object? Not as complex as a proton or a neutron, or a meson, but still quite complex? '''Precisely because its Existence and its Essence / Form, its behavior and its Dynamics are the result of the complex interaction of these dynamic processes that characterize the virtually infinite event points of the portion (volume) of the Field that from time to time support the aforementioned InfoStructure that we call Particle'''.
-After this clarification, with which we wanted to point out that what appears elementary (not composed of parts) and simple from the ontological point of view, if it is complex from the phenomenological and dynamic point of view, perhaps it is also so from the ontological point of view, despite appearances, which often deceive, as is well known, '''let's try to outline some  hypotheses of definitions'''.
+After this clarification, with which we wanted to point out that what appears elementary (not composed of parts) and simple from the ontological point of view, if it is complex from the phenomenological and dynamic point of view, perhaps it is also so from the ontological point of view, despite appearances, which often deceive, as is well known, '''let's try to outline some hypotheses of definitions'''.
 The Information content of a Structure, a Form, a System, the entire Universe is '''an important quantity that provides us with a "measure" of the Complexity of such an "object"'''. Information can be observed from two different, yet complementary, points of view. The '''quantity''' and the '''quality''' of Information. These are aspects of Reality that are difficult to deal with, especially in the physical domain.
-'''Information in Physics is a rather "uncomfortable" concept, and so is the concept of Complexity'''. Qualitative elements are not so easily modeled and calculable, and struggle to enter the equations. But I believe that these two concepts, together with that of emergence, and organization, are fundamental to understanding the evolutionary aspects of Physical Reality at all levels.
+'''Information in Physics is a rather "uncomfortable" concept, and so is the concept of Complexity'''. Qualitative elements are not so easily modeled and calculable, and struggle to enter the equations. But I believe that these two concepts, together with that of emergence and organization, are fundamental to understanding the evolutionary aspects of Physical Reality at all levels.
-Complexity is '''a measure of the content of [[Information]]''', the level of organization of the Action, of a [[Structure]], of a [[Forms]]. It is '''a measure of the causal and variational distance of the form from the absolute homogeneity''', a measure of the inhomogeneity of a Form. It measures the '''[[Causality|causal]] [[action] ] and its [[Variationality|variational]] effect necessary to produce that Form starting from the absolute homogeneity of the distribution of the [[Elementary Events]] in / of the [[Elementary Field]]''', the most fundamental form of [[Existence]].
+Complexity is '''a measure of the content of [[Information]]''', the level of organization of the Action, of a [[Structure]], of a [[Forms]]. It is '''a measure of the causal and variational distance of the Form from the absolute homogeneity''', a measure of the inhomogeneity of a Form. It measures the '''[[Causality|causal]] [[Action]] and its [[Variationality|variational]] effect necessary to produce that Form starting from the absolute homogeneity of the distribution of the [[Elementary Events]] in / of the [[Elementary Field]]''', the most fundamental form of [[Existence]].
-Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the '''quantity and level of [[organization]] of the events that produced the above mentioned Structure or Form'''.
+Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the '''quantity and level of [[organization]] of the Events that produced the above mentioned Structure or Form'''.
 It is '''the result of the incessant [[evolution]] of Information'''. Evolution of [[Events]], Relations, Processes, [[Structures of Information]] and Forms.
-In other words, Complexity represents '''the product of the [[Process of Formation of Reality]]''', the emergent organization, produced by the incessant evolution, fed by the [[Force]] (in the form of the Operator of Reality that we call Relation), which operates to all the levels of the Reality.
+In other words, Complexity represents '''the product of the [[Process of Formation of Reality]]''', the emergent organization produced by the incessant evolution, fed by the [[Force]] (in the form of the Operator of Reality that we call Relation), which operates at all the levels of Reality.
-In a statistical sense, it represents '''a measure of the degree of organization of a system''' or of the [[Universe]] as a whole. In the continuous scale that goes from the absolute chaos to the absolute order, evolutionary processes build increasing levels of organization, which correspond to peaks of Complexity that we observe in Reality.
+In a statistical sense, it represents '''a measure of the degree of organization of a system''' or of the [[Universe]] as a whole. In the continuous scale that goes from absolute chaos to absolute order, evolutionary processes build increasing levels of organization, which correspond to peaks of Complexity that we observe in Reality.
-It is in the dynamic equilibrium, or rather, '''in the imbalance in continuous tension towards an unattainable equilibrium''', that the interaction between anabolic processes (constructive - Operator [[Organization]]) and catabolic processes (destructive - Operator [[Transformation]] produces the [[Forms]] of [[Reality]], of which the Operator [[Selection]] allows the causal and variational permanence. Negentropy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now veer towards chaos (for example, the second law of thermodynamics) now towards order (systemic principle of emergent order).
+It is in the dynamic equilibrium, or rather, '''in the imbalance in continuous tension towards an unattainable equilibrium''', that the interaction between anabolic processes (constructive — Operator [[Organization]]) and catabolic processes (destructive — Operator [[Transformation]]) produces the [[Forms]] of [[Reality]], of which the Operator [[Selection]] allows the causal and variational permanence. Negentropy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now veer towards chaos (for example, the second law of thermodynamics) now towards order (systemic principle of emergent order).
 From this definition, it follows that the most complex thing in existence is the [[Universe]] itself. Furthermore, if we hypothetically consider human beings as the most complex existing forms and the planet Earth as the only celestial body populated by human beings, Earth should be considered more complex than the rest of the Universe. The definition of Complexity therefore incorporates both quantitative dimensions and qualitative aspects.
-All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of Existence, Complexity represents the level of interconnection of the network of organized relations between the processes that animate the event points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of increasingly complex levels of Existence, connected by a network of Relations that build an infinite hierarchy of emergent Complexity in incessant evolution.
+All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of Existence, Complexity represents the level of interconnection of the network of organized Relations between the processes that animate the event points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of increasingly complex levels of Existence, connected by a network of Relations that build an infinite hierarchy of emergent Complexity in incessant evolution.
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@@ Line 21: / Line 21: @@
 Complexity is '''a measure of the content of [[Information]]''', the level of organization of the Action, of a [[Structure]], of a [[Forms]]. It is '''a measure of the causal and variational distance of the form from the absolute homogeneity''', a measure of the inhomogeneity of a Form. It measures the '''[[Causality|causal]] [[action] ] and its [[Variationality|variational]] effect necessary to produce that Form starting from the absolute homogeneity of the distribution of the [[Elementary Events]] in / of the [[Elementary Field]]''', the most fundamental form of [[Existence]].
-Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the '''quantity and level of [[organization]] of the events that produced the above mentioned Structure or Form.
+Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the '''quantity and level of [[organization]] of the events that produced the above mentioned Structure or Form'''.
 It is '''the result of the incessant [[evolution]] of Information'''. Evolution of [[Events]], Relations, Processes, [[Structures of Information]] and Forms.

@@ Line 1: / Line 1: @@
-Complexity is '''a measure of the content of [[Information]]''', the level of organization of the Action, of a [[Structure]], of a [[Forms|Form]].
+'''Not to be confused with Entropy is the term "Complexity"'''. There are many definitions and areas of use of this term, which maintains a certain ambiguity also linked to the dichotomy of organized Complexity and disorganized Complexity.
-It is '''a measure of the causal and variational distance of the form from the absolute homogeneity''', a measure of the inhomogeneity of a form. It measures the [[Causality|causal]] [[action]] and its [[Variationality|variational]] effect necessary to produce that form starting from the absolute homogeneity of the distribution of the [[Elementary Events]] in / of the [[Elementary Field]], the most fundamental form of [[Existence]].
+In fact, this term, so important for understanding and evaluating the Evolution of a system, of an object, of Reality, of the entire Universe, is '''intimately linked to the themes of Organization and of the continuum that leads from chaos to order'''. And '''the object of Organization and its Evolution is certainly Information''', Relations between Events, the '''Processes that represent and describe the Dynamics of Reality at all levels'''. At all levels of Reality, levels of Complexity of Reality, precisely.
-Complexity represents '''the extension of the causal [[Processes|process]] that produced the Form''' in question, in other words, the quantity and level of [[organization]] of the events that produced the above mentioned Structure or Form.
+Information, Relations, chaos, order, Organization, emergency, systems, Evolution. These, along with many others, are the key terms to understand this elusive concept, Complexity.
-It is '''the result of the incessant [[evolution]] of Information'''. Evolution of [[Events]], Processes, [[Structures of Information]] and Forms.
+Before venturing into the difficult attempt to find a satisfactory definition, '''let's make a clarification'''. Complexity is a concept that has assumed particular relevance in and thanks to systems theory. The concept is therefore somewhat tied to the relations between parts in a system. Here, we will try to partially overcome this conceptual constraint. We must '''try to imagine that elementary objects (not composed of parts) but at the same time complex (which exhibit complex behaviors, as if they were composed of a significant number of parts) can exist'''.
-In other words, complexity represents '''the product of the [[Process of Formation of Reality]]''', the emergent organization, produced by the incessant evolution, fed by the [[Force]] (Force Relation - Operator REL), which operates to all levels of the Reality.
+Let's take for example an object that is commonly considered elementary, a particle, '''the electron'''. From observations it is clear that '''this particle is not composed of parts'''. But it exhibits '''bizarre behaviors''', balanced between particle and wave, localized and non-localized, solid and impalpable, as if by magic it could reconfigure itself, as an object composed of infinite parts intimately interconnected. Yet no part can be detected or hypothesized.
-In a statistical sense, it represents '''a measure of the degree of organization of a system''' or of the [[Universe]] as a whole. In the continuous scale that goes from the absolute chaos to the absolute order, evolutionary processes build increasing levels of organization, which correspond to peaks of complexity that we observe in Reality.
+In this System of Knowledge, in the model that we are trying to build and outline, as we will see better in the next chapter, an electron is a  Structure of Information, type Vortex / Particle, sub-type Elementary. '''Elementary does not mean that it is something monolithic, immutable'''. But not even a system formed by parts. It is a Structure that represents '''an organized set of elementary processes''' (Events organized by Relations, correlations of temporal distributions of elementary spatial fluctuations), a virtually infinite number of processes, as infinite as the event points of the Elementary Field that support its Existence and Essence / Form. "Infinite" as the points of the real axis between two defined extremes are infinite. "Virtually" because the elementary fluctuations resonate around the Planck scale, in fact limiting its infinity to an extremely high number and to spatial and temporal extensions characteristic of that infinitesimal scale.
-It's in the dynamic equilibrium, or, better said, '''in the imbalance in continuous tension towards an unattainable equilibrium''', that the interaction between anabolic processes (constructive - Operator [[Organization]]) and catabolic processes (destructive - Operator [[Transformation]] produces the [[Forms]] of the [[Reality]]. Enthalpy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now turn towards chaos (e.g. second law of thermodynamics) now towards order (systemic principle of emergent order).
+Why do we assume that a particle that is commonly considered elementary, one of the most elementary particles of the Standard Model, is a complex object? Not as complex as a proton or a neutron, or a meson, but still quite complex? '''Precisely because its Existence and its Essence / Form, its behavior and its Dynamics are the result of the complex interaction of these dynamic processes that characterize the virtually infinite event points of the portion (volume) of the Field that from time to time support the aforementioned InfoStructure that we call Particle'''.
-From this definition, it follows that the most complex existing thing is the [[Universe]] itself. Furthermore, if we hypothetically consider the human beings as the most complex existing forms and planet Earth as the only celestial body populated by humans, the Earth should be considered more complex than the rest of the Universe. The definition of complexity therefore incorporates both quantitative and qualitative aspects.
+After this clarification, with which we wanted to point out that what appears elementary (not composed of parts) and simple from the ontological point of view, if it is complex from the phenomenological and dynamic point of view, perhaps it is also so from the ontological point of view, despite appearances, which often deceive, as is well known, '''let's try to outline some  hypotheses of definitions'''.
 {{Template:PaperPages1}}

@@ Line 15: / Line 15: @@
 From this definition, it follows that the most complex existing thing is the [[Universe]] itself. Furthermore, if we hypothetically consider the human beings as the most complex existing forms and planet Earth as the only celestial body populated by humans, the Earth should be considered more complex than the rest of the Universe. The definition of complexity therefore incorporates both quantitative and qualitative aspects.
-All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between the [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of existence, complexity represents the level of interconnection of the network of relations organized between the [[Microstates]] associated with the points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of more and more complex levels of existence, linked by a network of relations that construct an infinite hierarchy of emerging complexity in incessant evolution.
+All that exists is [[Information]] that organizes [[Acted / Fields|Fields]], [[Relations]] between the [[Events]]. With reference to the [[Elementary Field]], at the most elementary level of existence, complexity represents the level of interconnection of the network of relations organized between the [[Micro-states]] associated with the points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of more and more complex levels of existence, linked by a network of relations that construct an infinite hierarchy of emerging complexity in incessant evolution.
 {{Template:PaperPages1}}