scholarly journals Wave Functional of the Universe and Time

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 452
Author(s):  
Natalia Gorobey ◽  
Alexander Lukyanenko ◽  
Alexander V. Goltsev
Keyword(s):  
Quantum Theory ◽  
General Covariance ◽  
Evolutionary Time ◽  
Least Action ◽  
Principle Of Least Action ◽  
History Of ◽  
Standard Clock ◽  
Invariant Parameter ◽  
New Formulation ◽  
The Universe

A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. To determine the physical wave functional, the quantum principle of least action is formulated as a secular equation for the corresponding action operator. Its solution, the wave functional, is an invariant of general covariant transformations of spacetime. In the new formulation, the history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions, which makes this description close to the formulation of the principle of general covariance in the classical theory of Einstein’s gravity. In the new formulation of quantum theory, an invariant parameter of the evolutionary time of the universe is defined, which is a generalization of the classical geodesic time measured by a standard clock along time-like geodesics.

scholarly journals In the light of time

2009 ◽  
Vol 465 (2104) ◽  
pp. 1173-1198 ◽  
Author(s):  
Petri Tuisku ◽  
Tuomas K Pernu ◽  
Arto Annila
Keyword(s):  
Second Law Of Thermodynamics ◽  
High Energy ◽  
Space Time ◽  
Causal Chain ◽  
Least Action ◽  
Energy Gradient ◽  
Principle Of Least Action ◽  
Expansion Of The Universe ◽  
Flow Of Time ◽  
The Universe

The concept of time is examined using the second law of thermodynamics that was recently formulated as an equation of motion. According to the statistical notion of increasing entropy, flows of energy diminish differences between energy densities that form space. The flow of energy is identified with the flow of time. The non-Euclidean energy landscape, i.e. the curved space–time, is in evolution when energy is flowing down along gradients and levelling the density differences. The flows along the steepest descents, i.e. geodesics are obtained from the principle of least action for mechanics, electrodynamics and quantum mechanics. The arrow of time, associated with the expansion of the Universe, identifies with grand dispersal of energy when high-energy densities transform by various mechanisms to lower densities in energy and eventually to ever-diluting electromagnetic radiation. Likewise, time in a quantum system takes an increment forwards in the detection-associated dissipative transformation when the stationary-state system begins to evolve pictured as the wave function collapse. The energy dispersal is understood to underlie causality so that an energy gradient is a cause and the resulting energy flow is an effect. The account on causality by the concepts of physics does not imply determinism; on the contrary, evolution of space–time as a causal chain of events is non-deterministic.

scholarly journals On Hilbert's world-function

1927 ◽  
Vol 113 (765) ◽  
pp. 496-511 ◽  
Keyword(s):  
Dynamical System ◽  
General Relativity ◽  
Minimum Principle ◽  
Relativity Theory ◽  
Field Equations ◽  
General Relativity Theory ◽  
Least Action ◽  
Principle Of Least Action ◽  
The Universe ◽  
World Function

The well-known theorem that the motion of any conservative dynamical system can be determined from the “Principle of Least Action” or “Hamilton’s Principle” was carried over into General Relativity-Theory in 1915 by Hilbert, who showed that the field-equations of gravitation can be deduced very simply from a minimum-principle. Hilbert generalised his ideas into the assertion that all physical happenings (gravitational electrical, etc.) in the universe are determined by a scalar “world-function” H, being, in fact, such as to annul the variation of the integral ∫∫∫∫H√(−g)dx 0 dx 1 dx 2 dx 3 where ( x 0 , x 1 , x 2 , x 3 ) are the generalised co-ordinates which specify place and time, and g is (in the usual notation of the relativity-theory) the determinant of the gravitational potentials g v q , which specify the metric by means of the equation dx 2 = ∑ p, q g vq dx v dx q . In Hilbert’s work, the variation of the above integral was supposed to be due to small changes in the g vq 's and in the electromagnetic potentials, regarded as functions of x 0 , x 1 , x 2 , x 3 .

The principle of greatest freedom

2013 ◽  
Vol 26 (3) ◽  
pp. 430-437
Author(s):  
Sylvain Battisti
Keyword(s):  
Quantum Mechanics ◽  
Elementary Particles ◽  
Transfer Energy ◽  
Least Action ◽  
Principle Of Least Action ◽  
Wave Particle Duality ◽  
The Common ◽  
The Universe ◽  
Coherent Relationship

Elementary particles are the common capital of any being in the universe. However, a being is characterized by its behavior as well as its capital and the principle of least action shows the common behavior of partners that transfer energy. However, the concept of action does not apply to all transfers; what is the action when two men transfer words? Here we show that the “principle of greatest freedom” reveals the common behavior of any partner during nondestructive relationship that is to maximize the number of its accessible states, i.e., its freedom. It gives a common interpretation to quantum mechanics, to wave-particle duality and to relativity. It defines the coherent relationship, which explains why objects behave consistently according to laws and why they construct compound beings that evolve.

Early Ideas

Lightspeed ◽  
2019 ◽  
pp. 4-17
Author(s):  
John C. H. Spence
Keyword(s):  
Light Beam ◽  
Laser Pointer ◽  
Speed Of Light ◽  
Least Action ◽  
Principle Of Least Action ◽  
Modern Physics ◽  
Action At A Distance ◽  
Snell’S Law ◽  
Snell's Law ◽  
The Universe

Mankind’s early ideas about the speed of light, the Aether (supposed to fill the universe) and the instantaneous “action at a distance” theory, before the speed of light was first measured. Euclid’s work on optics, in which he used his theorems from geometry to explain what is seen, assuming that rays of vision were sent out by the eye. The discovery of refraction, explained by Snell’s law and its implications for the speed of light in the theories of Descartes and Fermat, and its importance in modern physics as a principle of least action. How the study of refraction, as when a light beam from a laser pointer bends on entering water, divided scientists for centuries into two groups, those who believed that light sped up on entering water and was a particle, and those who believed it slowed down and was a wave.

scholarly journals Reconsidering the Foundations of Thermodynamics from an Engineering Perspective

2018 ◽  
Author(s):  
Terry Bristol
Keyword(s):  
Quantum Theory ◽  
Theory And Practice ◽  
The Other ◽  
Conceptual Foundation ◽  
Least Action ◽  
Trace Back ◽  
Principle Of Least Action ◽  
Special Cases ◽  
Mechanical Formulation ◽  
Foundational Issue

Currently, there are two approaches to the foundations of thermodynamics. One, associated with the mechanistical Clausius-Boltzmann tradition, is favored by the physics community. The other, associated with the post-mechanical Carnot tradition, is favored by the engineering community. The bold hypothesis is that the conceptual foundation of engineering thermodynamics is the more comprehensive. Therefore, contrary to the dominant consensus, engineering thermodynamics (ET) represents the true foundation of thermodynamics. The foundational issue is crucial to a number of unresolved current and historical issues in thermodynamic theory and practice. ET formally explains the limited successes of the ‘rational mechanical’ approaches as idealizing special cases. Thermodynamic phenomena are uniquely dissymmetric and can never be completely understood in terms of symmetry-based mechanical concepts. Consequently, ET understands thermodynamic phenomena in new way, in terms of the post-mechanical formulation of action. The ET concept of action and the action framework trace back to Maupertuis’s Principle of Least Action, both clarified in the engineering worldview research program of Lazare and Sadi Carnot. Despite the intervening Lagrangian ‘mechanical idealization of action’, the original dualistic, indeterminate engineering understanding of action, somewhat unexpectedly, re-emerged in Planck’s quantum of action. The link between engineering thermodynamics and quantum theory is not spurious and each of our current formulations helps us develop our understanding of the other. Both the ET and quantum theory understandings of thermodynamic phenomena, as essentially dissymmetric (viz. embracing complementary), entail that there must be an irreducible, cumulative historical, qualitatively emergent, aspect of reality.

scholarly journals Cosmic Rays Report from the Structure of Space

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
A. Annila
Keyword(s):  
Cosmic Rays ◽  
Spectral Feature ◽  
Power Laws ◽  
Rest Energy ◽  
Least Action ◽  
Electron Positron ◽  
Principle Of Least Action ◽  
Dissipative Mechanism ◽  
The Universe ◽  
Electron Positron Pair

Spectrum of cosmic rays follows a broken power law over twelve orders of magnitude. Since ubiquitous power laws are manifestations of the principle of least action, we interpret the spectrum accordingly. Our analysis complies with understanding that low-energy particles originate mostly from rapidly receding sources throughout the cosmos. The flux peaks about proton rest energy whereafter it decreases because fewer and fewer receding sources are energetic enough to provide particles with high enough velocities to compensate for the recessional velocities. Above 1015.6 eV the flux from the expanding Universe diminishes below the flux from the nearby nonexpanding part of the Universe. In this spectral feature, known as the “knee,” we relate to a distance of about 1.3 Mpc where the gravitational potential tallies the energy density of free space. At higher energies particles decelerate in a dissipative manner to attain thermodynamic balance with the vacuum. At about 1017.2 eV a distinct dissipative mechanism opens up for protons to slow down by electron-positron pair production. At about 1019.6 eV a more effective mechanism opens up via pion production. All in all, the universal principle discloses that the broad spectrum of cosmic rays probes the structure of space from cosmic distances down to microscopic details.

Introduction

2017 ◽  
Author(s):  
Jennifer Coopersmith
Keyword(s):  
Physical Problem ◽  
Frame Of Reference ◽  
Least Action ◽  
Principle Of Least Action ◽  
The Universe

The chapter explains how the Principle of Least Action yields a unique answer to a physical problem irrespective of the frame of reference. The motivation arises from d’Alembert’s rousing words: “To someone who could grasp the Universe from a unified standpoint the entire creation would appear as a unique truth and necessity.” The requirement is that one “algorithm” can cope with all the specificity, variety, and complexity across the whole of physics. That one algorithm could ever be up to the task is made plausible by use of an allegory involving a King, the princess, and some suitors. Finally, the link with Least Action is made. Note that the terms extremal, objectivity, observer, and viewpoint are explained.

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