Translation

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Definition

Translation is a specification of Propagation. It is the second fundamental mode of expression of the Elementary Action.

In term of Elementary Events, Translation represents any action that spreads 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, "diffuse", propagate, translate in the Field.

In the Dynamics of the Elementary Action we call "Translation", or Translational Action, the orientation of the perturbations, produced by the reaction tending to restore homogeneity, in the direction of expression of the reaction itself.

Like Perturbation, we cannot say that Translation 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.

Translation 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 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 Operator Translation organizes Perturbations, the fluctuations of the Acted / Fields, in fluxes of Action directed to the restoring of homogeneity, of isotropy of the Elementary 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.

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 Dimensionality of Reality that we call Spatiality, the fundament of Space.

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 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.

Action Physical Action Cognitive Action
Variation Perturbation Perception
Propagation Translation Communication
Conservation Rotation Storage

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 Translation is responsible for the formation of divergence in the Elementary Field, propagation 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).

Translation 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
  • the root of Motion and kinetic phenomena
  • intimately connected with the spatial direction of propagation of Elementary Action and Inertia.

Common definition

Links to Wikipedia pages:

Description

Divergence

In the context of Evolutionary Knowledge, divergence is any propagation of a gradient, intended as any variation of the parameters that describe the Elementary Field along a chosen direction, the most elementary form of inhomogeneity, of anisotropy, of deformation of the Field.

Secondary manifestation of Action. Elementary divergences are produced by the reaction of the Elementary Field to the deformations produced by the action of the Fundamental Force on the Field itself.

At more complex levels, the gradients are divergences by the reaction to the perturbation of the Derived Acted / Fields under the action of Derived Agents / Forces.

Inertia (no acceleration)

Inertia is commonly defined as the resistance of any physical object to any change in its velocity (speed and direction of motion). Inertia can be seen as resistance to acceleration, and acceleration as change of a state of inertia.

Inertia is the manifestation of the presence of Translation in the dynamics of the object and not in the region of the Elementary Field where the object is moving. What does "presence of Translation" or a non null value of Translation means? It means that the amount of Elementary Action, in the mode we call Translation is greater that zero. In other word, in more detail, with reference to the Elementary Events, which represent the dynamics of the Elementary Field at its fundamental level, the tiny fluctuations of the Elementary Field at the Planck-scale, it means that we are in presence of some form and quantity of organization of the correlations among the inhomogeneities of the distributions of those fluctuations, the Elementary Events. And in particular, for Translation, and therefore for inertia and acceleration, what matters is not the intensity, but the intensity of the correlations of the (spatial) orientations of that fluctuations. The more intense the correlations of the orientation of the fluctuations, the greater the inertial velocity, the stronger the increase in those correlations, the greater the acceleration.

Acceleration

Acceleration is commonly defined as the rate of change of that velocity (magnitude and direction) with respect to time. Inertia can be seen as resistance to acceleration, and acceleration as change of a state of inertia.

Acceleration is the manifestation of the presence of Translation in the dynamics of the Elementary Field, in the region where the object is at rest (the value of Translation in the object is zero) or in motion (Translation in the object is non null). An object with a given intensity of correlations of the orientation of the fluctuations, a given Translation value, which moves in the Field showing a given intensity of correlations of the orientation of the fluctuations, the object's Translation interacting with the Translation in / of the Field, acquires more Translation, i.e. the fluctuations at the Planck-scale will show increasing correlations in the orientation of the fluctuations. Result: an object accelerating in a Field showing a potential (like a gravitational potential of a gravitational field). The amount of Translation, and therefore of acceleration, is proportional to the spatial distribution of the amounts of Perturbation in the Field (quantities and distances), and therefore to the spatial distribution of mass densities in Space-time, in the Metric field, or, as stated by the Principle of General Equivalence, to the (local) curvature of Space-time, to the (local) speed limit of the propagation of Information, or the local temperature of the Field, etc.

Gravity

Gravity is commonly seen as a natural phenomenon produced by Mass and the dynamics of objects with mass.

In terms of the Elementary Field and Dynamics of Elementary Action, and its Modes /Components, gravity can be seen as the combined expression of the modes of Elementary Action that we call Perturbation and Translation. Perturbation is the root of Mass, while Translation is the root of Motion. Mass and Motion are two closely related phenomena. Gradients in Perturbation, inhomogeneities in the spatial distribution of Perturbation represent what we commonly call curvature of Space-time and produce reactions from / in the Elementary Field in the form of non-zero values of Translation in the surrounding regions of massive structures, which "cause" the attraction between massive bodies and their accelerated motion in the Field.

See also

Links to the related sections of the TFNR Paper

Classification

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