SOME CONSIDERATIONS REGARDING THE PRINCIPLE OF PHASE INVARIANCE

1955 ◽  
Vol 33 (8) ◽  
pp. 436-440
Author(s):  
F. A. Kaempffer
Keyword(s):  
Conservation Laws ◽  
Complex Field ◽  
Conservation Of Energy ◽  
Self Consistent ◽  
Energy And Momentum ◽  
Ether Theories

Taking the view that "particles" are in fact excitations of the motion of an all-pervading medium (or "ether"), it is shown that the conservation laws characterizing the ether, which are different from the well-known laws of conservation of energy and momentum, flow from a single principle, the principle of phase invariance, provided a complex field is used to describe the ether. There are at least two different self-consistent types of Lorentz-invariant ether theories which satisfy the principle of phase invariance.

A Theoretical Framework for Energy and Momentum Consistency in Subgrid-Scale Parameterization for Climate Models

2009 ◽  
Vol 66 (10) ◽  
pp. 3095-3114 ◽  
Author(s):  
Tiffany A. Shaw ◽  
Theodore G. Shepherd
Keyword(s):  
Conservation Laws ◽  
Climate Models ◽  
Multiple Scale ◽  
Theoretical Framework ◽  
Momentum Conservation ◽  
Wave Activity ◽  
Subgrid Scale ◽  
Conservation Of Energy ◽  
Planetary Scale ◽  
Energy And Momentum

Abstract A theoretical framework for the joint conservation of energy and momentum in the parameterization of subgrid-scale processes in climate models is presented. The framework couples a hydrostatic resolved (planetary scale) flow to a nonhydrostatic subgrid-scale (mesoscale) flow. The temporal and horizontal spatial scale separation between the planetary scale and mesoscale is imposed using multiple-scale asymptotics. Energy and momentum are exchanged through subgrid-scale flux convergences of heat, pressure, and momentum. The generation and dissipation of subgrid-scale energy and momentum is understood using wave-activity conservation laws that are derived by exploiting the (mesoscale) temporal and horizontal spatial homogeneities in the planetary-scale flow. The relations between these conservation laws and the planetary-scale dynamics represent generalized nonacceleration theorems. A derived relationship between the wave-activity fluxes—which represents a generalization of the second Eliassen–Palm theorem—is key to ensuring consistency between energy and momentum conservation. The framework includes a consistent formulation of heating and entropy production due to kinetic energy dissipation.

Using three elementary particles to construct the physical world

2021 ◽  
Vol 34 (2) ◽  
pp. 236-247
Author(s):  
Huawang Li
Keyword(s):  
Electromagnetic Waves ◽  
Physical World ◽  
Elementary Particles ◽  
Average Kinetic Energy ◽  
Particle Collisions ◽  
Conservation Of Energy ◽  
Fundamental Particles ◽  
Energy And Momentum ◽  
Physical Phenomena ◽  
The Universe

In this paper, we conjecture that gravitation, electromagnetism, and strong nuclear interactions are all produced by particle collisions by determining the essential concept of force in physics (that is, the magnitude of change in momentum per unit time for a group of particles traveling in one direction), and further speculate the existence of a new particle, Yizi. The average kinetic energy of Yizi is considered to be equal to Planck’s constant, so the mass of Yizi is calculated to be <mml:math display="inline"> <mml:mrow> <mml:mn>7.37</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>51</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> kg and the average velocity of Yizi is <mml:math display="inline"> <mml:mrow> <mml:mn>4.24</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> <mml:mn>8</mml:mn> </mml:msup> </mml:mrow> </mml:math> m/s. The universe is filled with Yizi gas, the number density of Yizi can reach <mml:math display="inline"> <mml:mrow> <mml:mn>1.61</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>64</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> /m3, and Yizi has no charge. After abandoning the idealism of physics, I try to construct a physical framework from three elementary particles: Protons, electrons, and Yizis. (The elementary particles mentioned here generally refer to the indivisible particles that constitute objects.) The effects of Yizi on the conversion of light, electricity, magnetism, mass, and energy as well as the strong nuclear and electromagnetic forces are emphasized. The gravitation of electromagnetic waves is measured using a Cavendish torsion balance. It is shown experimentally that electromagnetic waves not only produce pressure (repulsion) but also gravitational forces upon objects. The universe is a combination of three fundamental particles. Motion is eternal and follows the laws of conservation of energy and momentum. There is only one force: The magnitude of change in momentum per unit time for a group of particles traveling in one direction. Furthermore, this corresponds to the magnitude of the force that the group of particles exerts in that direction. From this perspective, all physical phenomena are relatively easy to explain.

scholarly journals The motional effects of the maxwell æther-stress

1909 ◽  
Vol 83 (560) ◽  
pp. 109-119
Keyword(s):  
Continuous Medium ◽  
Poynting Vector ◽  
Present Condition ◽  
Conservation Of Energy ◽  
State Of Stress ◽  
Rate Of Increase ◽  
Electromagnetic Momentum ◽  
Energy And Momentum ◽  
Similar Element ◽  
Maxwell Stresses

There is an outstanding gap in electromagnetic theory in respect to the attempt to reconcile the analysis of æthereal stress on the lines initiated by Maxwell with Newton’s third law and the law of the conservation of energy. In the present condition of theory there is assigned to the æther a certain distribution of electromagnetic energy and momentum. The hypothetical distribution of energy is necessarily associated with the Poynting vector which measures its rate of transference. The distribution of momentum is so defined that the rate of increase of the total amount, within any given volume supposed at rest in the æther, is equivalent to the resultant of the Maxwell stresses on the bounding surface. There is, however, no connection established between the transference of energy across an area and the stress across that area. Such a connection would require that it should be possible to assign to the medium in which stress and energy reside a state of motion whereby the stresses might do the necessary amount of work, and this again would require the revision of the specification of stress, inasmuch as the ordinary expressions are computed for an element of surface which is at rest. Numerous other questions arise as soon as such a process is attempted, but the present paper seeks only to analyse what types of motion must be looked for, and to specify the field of stress upon the elements of area moving with the velocities obtained. Strictly, it is incorrect to speak of the stresses on elements of area in the æther at the same point having different velocities. The true stress in a continuous medium can only be estimated on an area moving with the medium. All that can be done in the absence of a knowledge of the velocity of the medium is to analyse the transference of momentum across an element of area having a specified velocity. Only when this velocity is that of the medium is it legitimate to interpret this transference as due to a state of stress in the medium. Thus, unless the æther is supposed at rest, the Maxwell expressions have no significance, except as giving the rate at which momentum is crossing an element of area at rest. If, however, the æther is assumed at rest, then no state of stress can give rise to any transfer of energy. 1. The flux of momentum across an element of area moving with velocity v differs from that across a similar element at rest by the vector v v g per unit area, g being the intensity of the electromagnetic momentum (=[EH]/4 πc ) and v v being the component of v normal to the area.

scholarly journals Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Yu-Qing Li ◽  
Bao-Shu Yin
Keyword(s):  
Conservation Laws ◽  
Spectral Problem ◽  
Liouville Integrability ◽  
Hamiltonian Structures ◽  
Integrable Lattice ◽  
Self Consistent ◽  
Matrix Spectral Problem

A lattice hierarchy with self-consistent sources is deduced starting from a three-by-three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservation laws of the resulting hierarchy are obtained.

Stimulated Raman scattering from a fully focused relativistic electron beam in a waveguide

1986 ◽  
Vol 36 (1) ◽  
pp. 37-62
Author(s):  
Robert A. Schill ◽  
S. R. Seshadri
Keyword(s):  
Raman Scattering ◽  
Stimulated Raman Scattering ◽  
Signal Wave ◽  
Plasma Stream ◽  
Wave Interactions ◽  
Conservation Of Energy ◽  
Unbounded Medium ◽  
Parallel Plate Waveguide ◽  
Energy And Momentum ◽  
Stimulated Raman

Stimulated Raman scattering from a fully focused relativistically drifting electron plasma in a parallel-plate waveguide is studied. A set of internally consistent transport relations governing the three-wave interactions is developed. These transport relations lead to the proper conservation of energy and momentum. Including small wall and bulk plasma losses, parametric and nonlinear characteristics are investigated theoretically and numerically. It is found that in an unbounded medium the saturation period of the signal wave is considerably smaller than in a bounded medium. The signal energy comes from the plasma stream through the idler wave with small depletion of the pump wave amplitude.

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