TFNR - Variationality / Variation - Revision history

Paolo: /* Variationality */

2026-01-15T15:39:19Z

‎Variationality

Paolo: /* Variationality */

2025-09-10T10:02:10Z

‎Variationality

Paolo: /* Variationality */

2025-09-10T10:00:42Z

‎Variationality

Paolo at 09:26, 10 September 2025

2025-09-10T09:26:18Z

Paolo at 09:13, 10 September 2025

2025-09-10T09:13:54Z

Paolo at 21:11, 8 December 2022

2022-12-08T21:11:49Z

Paolo at 21:00, 2 December 2022

2022-12-02T21:00:08Z

Paolo at 17:03, 9 October 2022

2022-10-09T17:03:21Z

Paolo at 17:08, 19 August 2022

2022-08-19T17:08:26Z

Paolo: Created page with " {{Template:PaperPages2}}"

2022-08-18T18:02:09Z

Created page with " {{Template:PaperPages2}}"

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 In a relational approach to the study of Nature, '''Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source|Source]]''', and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that '''[[Variation|variations]] do not exist—they happen'''. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.
-'''Spatiality and Temporality, together, are expressed as a physical quantity we may call Metric, and the associated Metric Phenomena'''. Within this domain, we find the concepts of '''curvature''' of the Space–time Metric, of '''position''' (absolute—unobservable/unmeasurable—and relative), of '''distance''', and—combined with Motion and Kinetic Phenomena—of the concepts of velocity (absolute and relative), acceleration, and so on.
+'''Spatiality and Temporality, together, are expressed as a physical quantity we may call Metric, and the associated Metric Phenomena'''. Within this domain, we find the concepts of '''curvature''' of the Space-time Metric, of '''position''' (absolute—unobservable/unmeasurable—and relative), of '''distance''', and—combined with Motion and Kinetic Phenomena—of the concepts of velocity (absolute and relative), acceleration, and so on.
 === Variation ===

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 It pertains to the fact and the manner in which [[Variation|variations]] in the distributions of [[Events]]—changes, effects, [[Action]]—are produced within the [[Acted / Fields]] / within [[Space]] and [[Time]], Space-time, under the operative influence of [[Agents / Forces]] / [[Cause|Causes]], both at the elementary [[Levels of Reality|level of Reality]], where the [[Fundamental Force]] and the [[Elementary Field]] interact to generate [[Elementary Events]], and, more broadly, at higher levels of Complexity, where [[Derived Agents / Forces]] act upon [[Derived Acted / Fields]] to produce more complex Events—[[Derived Action]].
-Variationality can be considered the fundamental expression of [[Agency]] on its passive side—a core manifestation of the variational principle/property of the Field(s), closely related to the [[Operators of Reality|Operator of Reality]] known as [[Perturbation]], itself an expression of the broader operator [[Variation]].
+Variationality can be considered '''the fundamental expression of [[Agency]] on its passive side'''—a core manifestation of the variational principle/property of the Field(s), closely related to the [[Operators of Reality|Operator of Reality]] known as [[Perturbation]], itself an expression of the broader operator [[Variation]].
-In a relational approach to the study of Nature, Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source|Source]], and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that [[Variation|variations]] do not exist—they happen. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.
+In a relational approach to the study of Nature, '''Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source|Source]]''', and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that '''[[Variation|variations]] do not exist—they happen'''. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.
-Spatiality and Temporality, together, are expressed as a physical quantity we may call Metric, and the associated Metric Phenomena. Within this domain, we find the concepts of curvature of the Space–time Metric, of position (absolute—unobservable/unmeasurable—and relative), of distance, and—combined with Motion and Kinetic Phenomena—of the concepts of velocity (absolute and relative), acceleration, and so on.
+'''Spatiality and Temporality, together, are expressed as a physical quantity we may call Metric, and the associated Metric Phenomena'''. Within this domain, we find the concepts of '''curvature''' of the Space–time Metric, of '''position''' (absolute—unobservable/unmeasurable—and relative), of '''distance''', and—combined with Motion and Kinetic Phenomena—of the concepts of velocity (absolute and relative), acceleration, and so on.
 === Variation ===

← Older revision		Revision as of 10:00, 10 September 2025
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	In a relational approach to the study of Nature, Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source\|Source]], and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that [[Variation\|variations]] do not exist—they happen. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.		In a relational approach to the study of Nature, Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source\|Source]], and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that [[Variation\|variations]] do not exist—they happen. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.
		+
		+	Spatiality and Temporality, together, are expressed as a physical quantity we may call Metric, and the associated Metric Phenomena. Within this domain, we find the concepts of curvature of the Space–time Metric, of position (absolute—unobservable/unmeasurable—and relative), of distance, and—combined with Motion and Kinetic Phenomena—of the concepts of velocity (absolute and relative), acceleration, and so on.

	=== Variation ===		=== Variation ===

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 __NOTOC__
 Variationality and Variation are '''foundational aspects of Reality''', passive, receptive, expressions of the Agency of the Source of Reality. They are, respectively, the Dimensionality and the Dimension associated with Fields (the Elementary Field and all the Derived Fields).
 === Variationality ===
-'''Variationality is one of the two fundamental [[Dimensionalities of Reality]], a fundamental emerging property of [[Reality]], the foundation of [[Spatiality]] and [[Temporality]]''', the spatial and temporal dimensionalities, in turn, the foundation of the spatial dimension, of [[Space]] and the temporal dimension, of [[Time]], two of the principal phenomena produced by the [[Dynamics of the Primary Source]] and [[The inner interaction between the Fundamental Force and Elementary Field]].
+'''Variationality is one of the two fundamental [[Dimensionalities of Reality]], a fundamental emerging Property of [[Reality]], which, in its most elementary forms, manifests as [[Spatiality]] and [[Temporality]]'''—the spatial and temporal Dimensionalities which, in turn, underpin the spatial Dimension of [[Space]] and the temporal Dimension of [[Time]], two of the phenomenological aspects produced by the [[Dynamics of the Primary Source]] and [[The inner interaction between the Fundamental Force and Elementary Field|the inner interaction between the Fundamental Force and Elementary Field]].
-It attains to the fact and the ways in which [[Variation|variations]] in the distributions of the [[Events]], changes, effects, [[Action]], are produced in the [[Acted / Fields]] / [[Space]]-[[Time]], under the operative action of [[Agents / Forces]] / [[Cause|Causes]], both at the elementary [[Levels of Reality|level of Reality]] where the [[Fundamental Force]] and the [[Elementary Field]] interact producing the [[Elementary Events]], and, more in general, at the more complex level where [[Derived Agents / Forces]] acting on [[Derived Acted / Fields]] produce complex events, [[Derived Action]].
+It pertains to the fact and the manner in which [[Variation|variations]] in the distributions of [[Events]]—changes, effects, [[Action]]—are produced within the [[Acted / Fields]] / within [[Space]] and [[Time]], Space-time, under the operative influence of [[Agents / Forces]] / [[Cause|Causes]], both at the elementary [[Levels of Reality|level of Reality]], where the [[Fundamental Force]] and the [[Elementary Field]] interact to generate [[Elementary Events]], and, more broadly, at higher levels of Complexity, where [[Derived Agents / Forces]] act upon [[Derived Acted / Fields]] to produce more complex Events—[[Derived Action]].
-Variationality can be considered the fundamental expression of [[Agency]], on its passive side.  A fundamental expression of the variational principle / property of the Field / Fields, closely related with the [[Operators of Reality|Operator of Reality]] that we call [[Perturbation]], an expression of the more general operator [[Variation]].
+Variationality can be considered the fundamental expression of [[Agency]] on its passive side—a core manifestation of the variational principle/property of the Field(s), closely related to the [[Operators of Reality|Operator of Reality]] known as [[Perturbation]], itself an expression of the broader operator [[Variation]].
-In a relational approach to the study of Nature, variationality is a property emerging from the [[relation]] between the two fundamental aspects of the [[Primary Source|Source]] and, more in general, of all the [[sources]]: between the Force / forces and the Field / fields, from the relation between the action of the forces and the effects that they produce on fields. Hence, Variationality, as the other fundamental dimensionalities, must be intended as a relational property with reference to Events. In this sense we can say that [[Variation|variations]] don't exists, they happen. This is a phenomenon, a product of the dynamics of the inner interaction of the two aspects of the Source of Reality.
+In a relational approach to the study of Nature, Variationality emerges from the relation between the two fundamental aspects of the [[Primary Source|Source]], and more generally, of all [[Sources]]: between Force(s) and Field(s), from the interaction between the Action of Forces and the effects they produce within Fields. Hence, Variationality—like Causality—must be understood as a relational Property with reference to Events. In this sense, we may say that [[Variation|variations]] do not exist—they happen. They are phenomenological aspects, products of the dynamic interaction between the two aspects of the Source of Reality.
 === Variation ===
-'''Variation is the way in which [[Acted / Fields]] react to the [[Action]] of [[Agents / Forces]]''', the way in which Acted / Fields receive the expression of the Agents / Forces, its the product of the expression of [[Causality]]. Variation is the root of the emergence of the [[Dimensionalities of Reality]] that we call [[Spatiality]] and [[Temporality]], the fundaments of [[Space]] and [[Time]].
+'''Variation is the way in which [[Acted / Fields]] respond, "react" ("re-Act", "re-Action"), to the [[Action]] of [[Agents / Forces]]'''—the manner in which Acted / Fields receive and manifest the expression of Agents / Forces. It is the product of [[Causality]] in Action. Variation is the root of the emergence of the [[Dimensionalities of Reality]] known as [[Spatiality]] and [[Temporality]]—the foundations of [[Space]] and [[Time]].
-{{Template:PaperPages2}}
+{{Template:PaperPages1}}

@@ Line 1: / Line 1: @@
 __NOTOC__
-Variationality and Variation are '''foundational aspects of Reality''', passive expressions of the Agency of the Source of Reality. They respectively are the dimensionality and the dimension associated with the Elementary Field.
+Variationality and Variation are '''foundational aspects of Reality''', passive, receptive, expressions of the Agency of the Source of Reality. They are, respectively, the Dimensionality and the Dimension associated with Fields (the Elementary Field and all the Derived Fields).
 === Variationality ===

← Older revision		Revision as of 21:00, 2 December 2022
Line 1:		Line 1:
		+	Variationality and Variation are '''foundational aspects of Reality''', passive expressions of the Agency of the Source of Reality. They respectively are the dimensionality and the dimension associated with the Elementary Field.
		+

	'''Variationality'''		'''Variationality'''

← Older revision		Revision as of 17:08, 19 August 2022
Line 1:		Line 1:
		+	'''Variationality is one of the two fundamental [[Dimensionalities of Reality]], a fundamental emerging property of [[Reality]], the foundation of [[Spatiality]] and [[Temporality]]''', the spatial and temporal dimensionalities, in turn, the foundation of the spatial dimension, of [[Space]] and the temporal dimension, of [[Time]], two of the principal phenomena produced by the [[Dynamics of the Primary Source]] and [[The inner interaction between the Fundamental Force and Elementary Field]].

		+	It attains to the fact and the ways in which [[Variation\|variations]] in the distributions of the [[Events]], changes, effects, [[Action]], are produced in the [[Acted / Fields]] / [[Space]]-[[Time]], under the operative action of [[Agents / Forces]] / [[Cause\|Causes]], both at the elementary [[Levels of Reality\|level of Reality]] where the [[Fundamental Force]] and the [[Elementary Field]] interact producing the [[Elementary Events]], and, more in general, at the more complex level where [[Derived Agents / Forces]] acting on [[Derived Acted / Fields]] produce complex events, [[Derived Action]].
		+
		+	Variationality can be considered the fundamental expression of [[Agency]], on its passive side. A fundamental expression of the variational principle / property of the Field / Fields, closely related with the [[Operators of Reality\|Operator of Reality]] that we call [[Perturbation]], an expression of the more general operator [[Variation]].
		+
		+	In a relational approach to the study of Nature, variationality is a property emerging from the [[relation]] between the two fundamental aspects of the [[Primary Source\|Source]] and, more in general, of all the [[sources]]: between the Force / forces and the Field / fields, from the relation between the action of the forces and the effects that they produce on fields. Hence, Variationality, as the other fundamental dimensionalities, must be intended as a relational property with reference to Events. In this sense we can say that [[Variation\|variations]] don't exists, they happen. This is a phenomenon, a product of the dynamics of the inner interaction of the two aspects of the Source of Reality.
		+
		+	'''Variation is the way in which [[Acted / Fields]] react to the [[Action]] of [[Agents / Forces]]''', the way in which Acted / Fields receive the expression of the Agents / Forces, its the product of the expression of [[Causality]]. Variation is the root of the emergence of the [[Dimensionalities of Reality]] that we call [[Spatiality]] and [[Temporality]], the fundaments of [[Space]] and [[Time]].
	{{Template:PaperPages2}}		{{Template:PaperPages2}}