TFNR - The Principle of Least Action
The Principle of Least Action (or Stationary Action) represents the specification of the Principle of Conservation at the most elementary level of Physical Reality.
The Principle of Conservation
This Principle states that the mutations described by the Principle of Variation, that always tend to propagate as described by the Principle of Propagation, the incessant variations of the states of the Entities, the Events, always tend to tend to conserve.
This Principle states that the mutations described by the Principle of Variation, which always tend to propagate as described by the Principle of Propagation, the incessant variations of the states of the Entities, the Events, always tend to conserve.
Events, interacting with the other events, creating dynamic structures, that, mainly through cyclic processes, acquire causal permanence.
Events interact with other events, creating dynamic structures that, mainly through cyclic processes, acquire causal permanence.
Any variation of a Field produced by a Force (Events) tends to conserve in the same Field spatially and temporally, conserving the Action of those Forces on/in the Fields, conserving causes, the causality, through the Action.
Any variation of a Field produced by a Force (Events) tends to conserve itself in the same Field spatially and temporally, preserving the Action of those Forces within the Fields, conserving causes and causality through Action.
Any variation of a Field produced by a Force tends to conserve in the Field temporarily (and so propagating in space), conserving the Action of those Forces, the Events, in the Fields, conserving the causes, the causality, through the Action.
The conservation of causes, of Forces, is represented by the extension in the space-time of the effects of the Action produced by those causes/forces.
The conservation of causes, of Forces, is represented by the permanence in time of the effects of the Action produced by those causes/forces.
The conservation of causes and Forces is represented by the extension in space-time of the effects of the Action produced by those causes/forces.
The general Principle of Conservation is the foundation of all the derived principles of conservation which operate at the various Levels of Reality.
The general Principle of Conservation is the foundation of all derived principles of conservation operating at the various Levels of Reality.
It is the former and fundamental expression of Variationality, in the mode we call Temporality.
It is the primary and fundamental expression of Variationality, in the mode we call Temporality.
At the level of Elementary Field operates the Principle of Least Action, at the level of Physical Reality the principle of conservation of Energy, momentum, etc., while at the level of Physical Structures of Information and the quanta operates the principle of conservation of Information.
At the level of the Elementary Field operates the Principle of Least Action; at the level of Physical Reality the principle of conservation of Energy, momentum, etc.; while at the level of Physical Structures of Information and the quanta operates the principle of conservation of Information.
On a biological level this principle applies to the conservation of genetic information in the DNA, while on a cognitive level, this principle manifests itself in the field of conservation of experiences, of storage of memories, and the various phenomena related to the formation of culture).
On a biological level this principle applies to the conservation of genetic information in DNA, while on a cognitive level it manifests in the conservation of experiences, the storage of memories, and the various phenomena related to the formation of culture.
The principle of Least Action
The Principle of Least Action describes the formation of rotational reactions (Rotation), due to the interactions between translational actions, aimed at preserving the inhomogeneities, or anisotropies, in the distribution of elementary fluctuations.
The Principle of Least Action describes the formation of rotational reactions (Rotation), arising from the interactions between translational actions, aimed at preserving inhomogeneities or anisotropies in the distribution of elementary fluctuations.
This principle is the root and foundation of all the laws of conservation, principles that state that "a certain physical property or quantity does not change in the course of time within an isolated physical system" (conservation of mass-energy, of linear momentum, of angular momentum, of electric charge, of color charge, of weak isospin, of CPT parity, etc.)
This principle is the root and foundation of all the laws of conservation, principles that state that "a certain physical property or quantity does not change in the course of time within an isolated physical system" (conservation of mass-energy, linear momentum, angular momentum, electric charge, color charge, weak isospin, CPT parity, etc.)
In common physics this principle has various names like "stationary-action principle" or "principle of least action" (it is a variational principle that can be applied i.e. to the action of a mechanical system, producing the equations of motion) and different formulations, the Lagrangian and Hamiltonian ones (after the formulations of Maupertuis, Leibniz and Euler), or that of General Relativity / Einstein-Hilbert action. And more, we can see this principle in the formulation of Maxwell equations, or those of Quantum Mechanics (after the application of the stationary action method), Quantum Electrodynamics and particle physics.
In common physics this principle has various names such as "stationary-action principle" or "principle of least action". It is a variational principle that can be applied, for example, to the action of a mechanical system, producing the equations of motion. It also has different formulations: the Lagrangian and Hamiltonian ones (after the formulations of Maupertuis, Leibniz, and Euler), or that of General Relativity/Einstein-Hilbert action. Moreover, this principle appears in the formulation of Maxwell's equations, in Quantum Mechanics (through the stationary action method), in Quantum Electrodynamics, and in particle physics.
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