Rotation - Revision history

Paolo: /* See also */

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‎See also

Paolo: /* Rotation:AxisOrientation */

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‎Rotation:AxisOrientation

Paolo: /* Rotation:Chirality */

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‎Rotation:Chirality

Paolo: /* Spin */

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‎Spin

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‎Charge

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‎Definition

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‎Common definition

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‎Common definition

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‎Definition

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‎Definition

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 == See also ==
 <!--
 == Units of measurement ==

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 ==== Rotation:AxisOrientation ====
-xxx
+Rotation:AxisOrientation is the second of the two sub-modes of [[Rotation]]. It refers to the spatial direction of orientation of the axis of vorticity in circulation of [[Elementary Action]], the direction of the orientation of the axis of vorticity in circulation of the [[Elementary Events]] in the [[Elementary Field]]. It is the root of [[Spin and magnetic phenomena]].
 === Charge ===

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 ==== Rotation:Chirality ====
-xxx
+Rotation:Chirality is the first of the two sub-modes of [[Rotation]]. It refers to chirality, the sense of circulation of [[Elementary Action]], the sense of circulation of the [[Elementary Events]] in the [[Elementary Field]]. It is the root of [[Charge and electric phenomena]].
 ==== Rotation:AxisOrientation ====

← Older revision		Revision as of 17:44, 28 March 2021
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	=== Spin ===		=== Spin ===
		+
		+	Go to the page: [[Spin and magnetic phenomena]]

	== See also ==		== See also ==

← Older revision		Revision as of 17:44, 28 March 2021
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	=== Charge ===		=== Charge ===

		+	Go to the page: [[Charge and electric phenomena]]

	=== Spin ===		=== Spin ===

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 *the root of [[Charge and electric phenomena]] and [[Spin and magnetic phenomena]]
 *intimately connected with the temporal duration of Elementary Action.
 == Common definition  ==

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 {{WpPages}}
 *[https://en.wikipedia.org/wiki/Rotation Rotation]
-*[https://en.wikipedia.org/wiki/Rotation_(mathematics) Rotation]
+*[https://en.wikipedia.org/wiki/Rotation_(mathematics) Rotation_(mathematics)]
 *[https://en.wikipedia.org/wiki/Curl_(mathematics) Curl]
 *[https://en.wikipedia.org/wiki/Rotation_(disambiguation) Rotation_(disambiguation)]

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 Rotation is associated with the [[Operators of Reality|Operator of Reality]] that has the same name and is the expression of the [[Fundamental Principles of Evolutionary Dynamics|Fundamental Principle]] that we call [[Principle of Conservation]] (the mutations described by the Principle of Variation, the incessant variations of the states of the Entities, the Events, always tend to conserve). The [[Operators of Reality|Operator]] Rotation organizes Perturbations, the fluctuations of the [[Acted / Fields]], in vortices of [[Action]] directed to maintain homogeneity, isotropy of the Elementary Field. The Operator Translation is responsible for the formation of '''vortices / curl''' aimed at conserve gradients (inhomogeneities, anisotropies) in the Acted / Fields.
 '''Perturbation is the way in which the [[Elementary Field]] react to the [[Elementary Action]] of the [[Fundamental Force]]''', the way in which the [[Elementary Field]] receive the expression of the [[Fundamental Force]], its the product of the expression of [[Causality]] at the most elementary level of Reality. Variation is the root of the emergence of the [[Dimensionalities of Reality]] that we call [[Spatiality]] and [[Temporality]], the fundaments of [[Space]] and [[Time]].
-'''Translation is the way in which the [[Elementary Field]] reacts to the appearing of Perturbations produced by the [[Action]] of the [[Fundamental Force]]''', the way in which the Elementary Field receives the expression of the Fundamental Force, it is the product of the expression of [[Causality]]. Translation is the root of the emergence of the [[Dimensionalities of Reality|Dimensionality of Reality]] that we call [[Spatiality]], the fundament of [[Space]].
+'''Rotation is the way in which the [[Elementary Field]] reacts to the appearing of Perturbations produced by the [[Action]] of the [[Fundamental Force]]''', the way in which the Elementary Field receives the expression of the Fundamental Force, it is the product of the expression of [[Causality]]. Rotation is the root of the emergence of the [[Dimensionalities of Reality|Dimensionality of Reality]] that we call [[Temporality]], the fundament of [[Time]].
-The best question with respect to Translation undoubtedly is: what propagates? '''What propagates is the inhomogeneity in the distributions of the [[Elementary Events]] and the patterns of [[Relations|correlations]] among them'''. Any departure from an homogeneous distribution of Events as any change in that distribution (and in their stochastic independence / correlation) represents a variation that tend to propagate to restore homogeneity. At any level of complexity, from the most elementary to the Universe as a whole, Reality can be described as a net of more or less independent / correlated stochastic processes that propagate in the Fields.
+The best question with respect to Translation undoubtedly is: what conserve? '''What conserve is the inhomogeneity in the distributions of the [[Elementary Events]] and the patterns of [[Relations|correlations]] among them'''. Any departure from an homogeneous distribution of Events as any change in that distribution (and in their stochastic independence / correlation) represents a variation that tend to conserve to maintain inhomogeneity. At any level of complexity, from the most elementary to the Universe as a whole, Reality can be described as a net of more or less independent / correlated stochastic processes that conserve in the Fields.
 {{Template:FormsOfAction}}
-Modes of Action are intimately connected with the [[Dimensionalities of Reality]]: [[Physical Causality]] and [[Physical Variationality]], that produce the [[Dimensions of Physical Reality]]: [[Cause]], [[Space]] and [[Time]]. They represent three [[Operators of Physical Reality|fundamental operators]] in the [[Formation of Physical Reality]].
+The Modes of Action are intimately connected with the [[Dimensionalities of Reality]]: [[Physical Causality]] and [[Physical Variationality]], that produce the [[Dimensions of Physical Reality]]: [[Cause]], [[Space]] and [[Time]]. They represent three [[Operators of Physical Reality|fundamental operators]] in the [[Formation of Physical Reality]].
 The Operator [[Perturbation]] can be seen as the result of expression of [[Physical Causality]], the active side of [[Physical Agency]], while [[Translation]] and [[Rotation]] can be seen as expressions of the two aspects of its passive side, [[Physical Variationality]]: [[Physical Spatiality]] and [[Physical Temporality]].
-The Operator Translation is responsible for the formation of '''divergence''' in the Elementary Field, propagation of inhomogeneities, anisotropies, in the Field and their dynamics..
+The Operator Rotation is responsible for the formation of '''curl''' in the Elementary Field, conservation of inhomogeneities, anisotropies, in the Field and their dynamics.
-In vector calculus, Translation is embodied by '''the vector operator called "Divergence" (DIV)''', which represents a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's source at each point (the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point).
+In vector calculus, Rotation is embodied by '''the vector operator called "Curl" (CURL or ROT)''', which represents a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space. The curl at a point in the field is represented by a vector whose length and direction denote the magnitude and axis of the maximum circulation. The curl of a field is formally defined as the circulation density at each point of the field.
-Translation is:
+Rotation is:
-*expression of the [[Principle of Action and Reaction]]'': it describes the formation of translational reactions (Translation), produced by the interactions among micro-gradients and aimed at restoring homogeneity, or isotropy, in the distribution of elementary fluctuations
+*expression of the [[Principle of Least Action]]'': it describes the formation of rotational reactions (Rotation), produced by the interactions among translations and aimed at conserving inhomogeneity, or anisotropy, in the distribution of elementary fluctuations
-*the root of [[Motion and kinetic phenomena]]'''
+*the root of [[Charge and electric phenomena]] and [[Spin and magnetic phenomena]]
-*intimately connected with the spatial direction of propagation of Elementary Action and [[Inertia]].
+*intimately connected with the temporal duration of Elementary Action.

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 Rotation is a specification of [[Conservation]]. It is '''the third fundamental [[Modes of Physical Action|mode of expression]] of the [[Elementary Action]]'''.
-In term of [[Elementary Events]], '''Rotation represents any action that tends conserve [[Perturbation]] in the [[Elementary Field]]'''.
+In term of [[Elementary Events]], '''Rotation represents any action that tends to conserve [[Perturbation]] in the [[Elementary Field]]'''.
-Perturbations, inhomogeneities in the distributions of the intensities of the Elementary Events, the intensities of the deformations of the Elementary Field under the incessant pressure of the Fundamental Force, the products of the Elementary Events, "conserve", persist, rotating in the Field.
+Perturbations, inhomogeneities in the distributions of the intensities of the Elementary Events, the intensities of the deformations of the Elementary Field under the incessant pressure of the Fundamental Force, the products of the Elementary Events, "conserve", persist, showing rotation, chirality, vorticity in the Field.
-In the Dynamics of the Elementary Action we call "Rotation ", or Rotational Action, the vorticity of the perturbations, produced by the action tending to conserving inhomogeneity, in the points of expression of the action itself.
+In the Dynamics of the Elementary Action we call "Rotation ", or Rotational Action, the vorticity of the perturbations, produced by the action tending to conserve inhomogeneity, in the points of expression of the action itself.
 Like Perturbation, we cannot say that Rotation is something that exists, an entity. It is a phenomenon, a product of the dynamics of the inner interaction of the two aspects of the Source of Reality.
----
+Rotation is associated with the [[Operators of Reality|Operator of Reality]] that has the same name and is the expression of the [[Fundamental Principles of Evolutionary Dynamics|Fundamental Principle]] that we call [[Principle of Conservation]] (the mutations described by the Principle of Variation, the incessant variations of the states of the Entities, the Events, always tend to conserve). The [[Operators of Reality|Operator]] Rotation organizes Perturbations, the fluctuations of the [[Acted / Fields]], in vortices of [[Action]] directed to maintain homogeneity, isotropy of the Elementary Field. The Operator Translation is responsible for the formation of '''vortices / curl''' aimed at conserve gradients (inhomogeneities, anisotropies) in the Acted / Fields.
-Translation is associated with the [[Operators of Reality|Operator of Reality]] that has the same name and is the expression of the [[Fundamental Principles of Evolutionary Dynamics|Fundamental Principle]] that we call [[Principle of Propagation]] (the mutations described by the Principle of Variation, the incessant variations of the states of the Entities, the Events, always tend to propagate). The [[Operators of Reality|Operator]] Translation organizes Perturbations, the fluctuations of the [[Acted / Fields]], in fluxes of [[Action]] directed to the restoring of homogeneity, of isotropy of the Eleemntary Field. The Operator Translation is responsible for the formation of '''fluxes / divergence''' aimed at canceling gradients (inhomogeneities, anisotropies) in the Acted / Fields.
+---
 '''Perturbation is the way in which the [[Elementary Field]] react to the [[Elementary Action]] of the [[Fundamental Force]]''', the way in which the [[Elementary Field]] receive the expression of the [[Fundamental Force]], its the product of the expression of [[Causality]] at the most elementary level of Reality. Variation is the root of the emergence of the [[Dimensionalities of Reality]] that we call [[Spatiality]] and [[Temporality]], the fundaments of [[Space]] and [[Time]].