Difference between revisions of "TFNR - Rotation - Curl"
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| + | [[Rotation]] represent the specification of "[[Conservation]]" at the most elementary level of [[Physical Reality]]. | ||
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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]]'''. | ||
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| + | In term of [[Elementary Events]], '''Rotation represents any action that tends to conserve [[Perturbation]] in the [[Elementary Field]]'''. | ||
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| + | 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. | ||
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| + | 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. | ||
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| + | 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. | ||
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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. | ||
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| + | '''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]]. | ||
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| + | '''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]]. | ||
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| + | 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. | ||
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| + | 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]]. | ||
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| + | The Operator Rotation is responsible for the formation of '''curl''' in the Elementary Field, conservation of inhomogeneities, anisotropies, in the Field and their dynamics. | ||
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| + | 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. | ||
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| + | Rotation is: | ||
| + | *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 [[Charge and electric phenomena]] and [[Spin and magnetic phenomena]] | ||
| + | *intimately connected with the temporal duration of Elementary Action. | ||
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| + | <!--latex:\vspace{5 mm}--> | ||
| + | '''Rotation Sub-modes / Sub-components''' | ||
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| + | '''Rotation:Chirality''' | ||
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| + | 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]]. | ||
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| + | '''Rotation:AxisOrientation''' | ||
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| + | 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]]. | ||
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| + | <!--latex:\vspace{5 mm}--> | ||
| + | '''Charge''' | ||
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| + | Rotation:Chirality is the causal origination of Charge, while Translation is the variational effect produced by the presence of different sources of Rotation in the Field, which produces attraction / repulsion of charges and the electric domains. | ||
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| + | <!--latex:\vspace{5 mm}--> | ||
| + | '''Spin''' | ||
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| + | Rotation:AxisOrientation is the causal origination of Spin, while Translation is the variational effect produced by the presence of different orientations of the axis of Rotation in the Field, which produces attraction / repulsion of spins and the magnetic domains. | ||
{{Template:PaperPages1}} | {{Template:PaperPages1}} | ||
Latest revision as of 19:21, 12 March 2023
Rotation represent the specification of "Conservation" at the most elementary level of Physical Reality.
Rotation is a specification of Conservation. It is the third fundamental mode of expression of the Elementary Action.
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, 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 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 Operator of Reality that has the same name and is the expression of the 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 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.
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 Dimensionality of Reality that we call Temporality, the fundament of Time.
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 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.
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 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 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, 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.
Rotation is:
- 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 Charge and electric phenomena and Spin and magnetic phenomena
- intimately connected with the temporal duration of Elementary Action.
Rotation Sub-modes / Sub-components
Rotation:Chirality
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
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
Rotation:Chirality is the causal origination of Charge, while Translation is the variational effect produced by the presence of different sources of Rotation in the Field, which produces attraction / repulsion of charges and the electric domains.
Spin
Rotation:AxisOrientation is the causal origination of Spin, while Translation is the variational effect produced by the presence of different orientations of the axis of Rotation in the Field, which produces attraction / repulsion of spins and the magnetic domains.
Links to the tables of contents of TFNR Paper
