Perturbation

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Definition

Perturbation is a specification of Variation. It is the most fundamental mode of expression of the Elementary Action. The first of the Modes of Physical Action.

In term of Elementary Events, Perturbation represent any inhomogeneity in the distributions of the intensities of the Elementary Events, of the intensities of the deformations of the Elementary Field under the incessant pressure of the Fundamental Force. Elementary Events are the "substance" Reality in made of, produced by the inner interaction between the Fundamental Force and the Elementary Field, the unitary couple of the two aspects of the Source of Reality.

Perturbation is the substrate of Existence in its most elementary form. But we cannot say that Perturbation 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.

It 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 Variation (everything that exists is in incessant mutation, variation, or better, all that exist "is" incessant variation). Perturbation , as an Operator of Physical Reality, transmutes the pressure of the Fundamental Force on the Elementary Field in an incessant flux of variations, fluctuations, of the parameters that describe the same Elementary Field.

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.

The best question with respect to Variation undoubtedly is: what varies? What varies is the distribution 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 perturbation. 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. Space, time, mass, motion, charge, spin and all the more complex entities (Agents / Forces and Acted / Fields) and phenomena (Events and Relations) that we can see in Nature are made of Events, of Action, which can be described be sets, or better nets, of relations among an infinite number of stochastic processes. Infinite are the ways in which the relations among those stochastic processes organize, produce, the infinite complexity of the Universe in evolution.

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 Perturbation is responsible for the formation of the gradients in the Elementary Field, inhomogeneities, anisotropies, in the Field and their dynamics in the inner interaction with the Fundamental Force as components of the Sources.

In vector calculus, Perturbation is embodied by the vector operator called "Gradient" (GRAD), which represents the measure the rate and direction of change in a scalar field.

Perturbation is:

Common definition

Links to Wikipedia pages:

Description

Gradients

In the context of Evolutionary Knowledge, gradient is 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.

Primary manifestation of Action. Elementary gradients are produced by the action of the Fundamental Force, which disturbs, deforms, the Elementary Field.

At more complex levels, the gradients are produced by the action of the derived forces, which perturb the Derived Acted / Fields, characterizations of the Elementary Field, different levels and modes of organization of the Events, whose inhomogeneities represent the Action."

Mass

Space-time curvature

Mass and and Space-time curvature are the same thing, produced by the same cause: the density of Elementary Events and their distributions. The more Mass (Ordinary matter) an object has (or the more massive a space-time region is, for example due to the organizational structure of the distributions of Elementary Events that we call Dark matter) the greater is what we call the curvature of Space-time in that object and its surroundings, or in the considered Space-time region. We can have:

  • no mass (zero mass density) = no curvature of the Space-time metrics (flat space and flat time): no massive structures, no Ordinary or Dark matter, no Ordinary or Dark energy (or rather, of an organizational structure of the distributions of Elementary Events that we call Dark Energy)
  • negative mass density = negative curvature: presence of Ordinary or Dark matter, or Ordinary energy --> negative curvature means
    • contraction of length, of spatial extension, of distance; space seems to shrink, to contract, objects seem to become smaller and so the distances between them
    • dilation of time, of temporal durations, of intervals; time seems to pass at a lower pace
  • positive mass density = positive curvature: presence of Dark energy --> positive curvature means
    • expansion of length, of spatial extension, of distance; space seems to grow, to expand, objects seem to become bigger and so the distances between them
    • contraction of time, of temporal durations, of intervals; time seems to pass at a faster pace.

Gravity

Attraction / repulsion

See also

Links to the related sections of the TFNR Paper

Classification

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