Difference between revisions of "TFNR - Perturbation - Gradient"

Revision as of 22:22, 28 November 2022

Perturbation represent the specification of "Variation" at the most elementary level of Physical Reality.

Variation

Variation is the most fundamental mode of expression of Action. It is the substrate of Existence in its most elementary form. Any variation is an Event, any Event realizes a variation of something. Variations, Events, are the "substance" Reality in made of. It is the mode of Action relative to Reality in its most general aspects. The specifications relative to the two domain of Nature, the physical and the cognitive ones, are Perturbation and Meta Perturbation - Perception respectively. We can say that 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.

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). Variation, as an Operator of Reality, transmutes the pressure of Agents / Forces on Acted / Fields in an incessant flux of variations, fluctuations, of the parameters that describe the same Acted / Fields.

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.

The best question with respect to Variation undoubtedly is: what varies? What varies is the distribution of the 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. 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.

The Modes of Action are intimately connected with the Dimensionalities of Reality: Causality and Variationality, that produce the Dimensions of Reality: Cause, Space and Time. They represent three fundamental operators in the Formation of Reality. The Operator Variation can be seen as the result of expression of Causality, the active side of Agency, while Propagation and Conservation can be seen as expressions of the two aspects of its passive side ,Variationality: Spatiality and Temporality.

The Operator Variation is responsible form the formation of gradients in the Acted / Fields, inhomogeneities, anisotropies, in the parameters that describe the fields and their dynamics in the inner interaction with Agents / Forces as components of the Sources.

Perturbation - Gradient

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.

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:

• expression of the Principle of Uncertainty
• the root of Mass and gravitational phenomena
• intimately connected with the intensity of the Elementary Action, the temperature of the Elementary Field, the curvature of Space-time, mass density, the velocity of propagation of Information in the Field (limit of speed of light), as stated by the Principle of General Equivalence.

According to the Principle of General Equivalence to Perturbation correspond:

• Mass density (both positive mass density, that produces attraction, as that of baryonic or Ordinary matter and Dark matter, and negative mass density, that produces repulsion, as Dark energy),
• the curvature of space-time,
• the temperature of the Elementary Field, of which we can make experience as the many fields that we call space-time field, gravitational, kinetic, electric, magnetic, weak and strong nuclear fields, as complexity arises,
• the limit of the velocity of propagation of Information in the Elementary Field --> the speed of light in the "vacuum" (a limit, not a constant)

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

Mass (positive or negative) is a phenomenon produces by a (local) non-zero amount of Perturbation.

Space-time curvature

What does it mean that Space is curved? Basically that the spatial extensions, the distances, and therefore the lengths, are not absolute, fixed, but can vary in space and time as a result of two fundamental interconnected factors:

• the density of Elementary Events otherwise called Mass (in terms of the Elementary Action: Perturbation, inhomogeneity in the distributions of Elementary Events, intensity of the tiny fluctuations at the Planck-scale)
• the speed of the structure being measured / observed (Translation, inhomogeneity in the distributions of Elementary Events, orientation of the tiny fluctuations at the Planck-scale).

What does it mean that Time is curved? Basically that the temporal durations, the intervals, and therefore the times, are not absolute, fixed, but can vary in space and time as a result of two fundamental interconnected factors:

• the density of Elementary Events otherwise called Mass (in terms of the Elementary Action: Perturbation, inhomogeneity in the distributions of Elementary Events, intensity of the tiny fluctuations at the Planck-scale)
• the speed of the structure being measured / observed (Translation, inhomogeneity in the distributions of Elementary Events, orientation of the tiny fluctuations at the Planck-scale).

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

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.

Attraction / repulsion

Mass can be positive and negative (dark/ordinary matter and dark energy create an attraction and repulsion in the gravitational cosmic dance).

Links to the tables of contents of TFNR Paper

• Go to the contents list of the paper "The Fundamental Nature of Reality"

• Go to Chapter 2 "A first look"