Space-time and metric phenomena

Definition

It is the condition of a region of the Elementary Field where the distribution of the stochastic fluctuations (Elementary Events) that constitute the Elementary Action is lower than the mean distribution of the surrounding regions.

So, in a massive domain of the Field, as for a Particle of Ordinary matter or an halo of Dark matter, we can identify a "gradient", a particular form of the correlation of the distributions of the intensity of the elementary fluctuations (Perturbation) of the point-events that compose that domain, in the sense of a minor intensity of those perturbations.

This is the root of metric phenomena.

The fundamental definition of metric, strictly related to the properties and dynamics of the Elementary Field, is the difference of the intensity of Perturbation, the non-directional component of Action in a part of the Field with respect to the surrounding regions. Space-time curvature of the metrics determine the dimensions and the geometric properties of Physical Reality.

The concept of metric (or space-time extension of domains of / in the Elementary Field, that characterize the regions in which we find many kind of physical entities / quantities that we observe or suppose as basic constituents of the physical world: dark matter, dark energy, ordinary matter), in relation with the Principle of General Equivalence, can be expressed in more than one way (all equivalent to Metrics):

• the amount of Perturbation, the density of the elementary perturbations (inhomogeneities/gradients in the distributions of the quantum fluctuations of the Elementary Field that we call Elementary Events) that characterize the Elementary Action
• the density of mass of space-time domains, that characterize many physical entities / quantities that we observe or suppose as basic constituents of the physical world: dark matter, dark energy, ordinary matter
• temperature of the Elementary Field or the temperature of space-time (see the phenomena called CMB - Cosmic Microwave Background)
• velocity of propagation of information/causality in the Elementary Field or speed of light in the void/vacuum

As a result of the Principle of General Equivalence, the two arguments Space-time and metric phenomena and Mass and gravitational phenomena should collapse into a single argument. But we are used to considering space-time and mass as two distinct entities or phenomena. In fact, space-time extension and mass density are the same thing, they are (apparently) different manifestations of the same Dynamics of the Elementary Field, of the same Modes / component of the Elementary Action, which we call Perturbation. Thus, we should speak of space-time / mass and metric / gravitational phenomena instead of two distinct and different phenomenologies.

Only for descriptive purposes and to maintain a certain adherence to the common vision of reality, we keep these two phenomenologies distinct, which in fact General Relativity has already recognized as intimately linked. Here we take a step further. We recognize their substantial identity, a common origin, nature and dynamics. Mass can be defined as the curvature of space-time. The curvature is not an effect, a phenomenon, deriving from the existence of a mass, but is the true nature of the mass itself: the curvature of space-time "is" mass, and viceversa. In short, we do not consider mass here as a source of space-time curvature, of expansion-contraction of the metric, but we recognize them as the same thing, the same expression of the same deep and intimate nature of Physical Reality.

Mass is the deformation of the Metric.

The deformation of the Metric is Mass.

They are not only equivalent, they are the same thing, expression of the same fundament: Perturbation.

Common definition

Links to Wikipedia pages:

• Space
• Time
• Space-time
• Metric
• General Relativity
• Metric tensor
• Quantum_gravity

Description

Spatial and temporal position and extension

No absolute spatial and temporal positions: no absolute point of reference

No absolute spatial and temporal extensions: no absolute distances, no absolute durations

Spatial and temporal position and extension are always relative, they depend on the space-time metric of the Elementary Field and on the Form, Mass and dynamics of the considered Structure of Information.

See also

• Modes / Components of Action
• Perturbation
• Phenomena
• Spatiality
• Physical Spatiality
• Space
• Temporality
• Physical Temporality
• Time
• Mass and gravitational phenomena
• Motion and kinetic phenomena
• Charge and electric phenomena
• Spin and magnetic phenomena

Links to the related sections of the TFNR Paper

• TFNR - The world of continuity and the fundamental physical quantities: Mass - Motion - Charge - Spin
• TFNR - The emergence of space-time
• TFNR - The fundamental physical quantities in the terms of deformation of a homogeneous field
• TFNR - Mass (Perturbation – Gradient – Difference)
• TFNR - Unbelievable equivalencies
• TFNR - Gravity and Dark Energy: two complementary forces - two sides of the same coin
• TFNR - A general concept of Inertia
• TFNR - The Higgs mechanism in the term of Perturbation
• TFNR - Polarization in the gravitational field
• TFNR - What we intend for negative mass
• TFNR - Dark energy in the Universe at all scales
• TFNR - Gravitational and electromagnetic fields as a partial view of the dynamics of the Elementary Field
• TFNR - Mass

Classification

• Topic id: t_space_time_metric
• Belongs to the class: Agents / Forces
• Has as instances:
• Belongs to the groups:
• Semantic Map: ekm|map=m_ph_dynamics&topic=t_space_time_metric
• Semantic Map Test Version: ekmt|map=m_ph_dynamics&topic=t_space_time_metric