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Applied Mathematics and Mechanics

Super nonlinear total energy of a particle and the theory of de Broglie wave

Yang Wenxiong, Changjun Yang

Published May 1, 1999• 2 citations
Publisher
DOI
10.1007/bf02463749

Related papers

A review of de Broglie particle–wave mechanical systems

James Murray Hill

The existence of the so-called ‘dark’ issues of mechanics implies that our present accounting for mass and energy is incorrect in terms of applicability on a cosmological scale, and the question arises as to where the difficulty might lie. The phenomenon of quantum entanglement indicates that systems of particles exist that individually display certain characteristics, while collectively the same characteristic is absent simply because it has cancelled out between individual particles. It may therefore be necessary to develop theoretical frameworks in which long-held conservation beliefs do not necessarily always apply. The present paper summarises the formulation described in earlier papers (Hill, JM. On the formal origin of dark energy. Z Angew Math Phys 2018; 69:133-145; Hill, JM. Some further comments on special relativity and dark energy. Z Angew Math Phys 2019; 70: 5–14; Hill, JM. Special relativity, de Broglie waves, dark energy and quantum mechanics. Z Angew Math Phys 2019; 70: 131–153.), which provides a framework that allows exceptions to the law that matter cannot be created or destroyed. In these papers, it is proposed that dark energy arises from conventional mechanical theory, neglecting the work done in the direction of time and consequently neglecting the de Broglie wave energy [Formula: see text]. These papers develop expressions for the de Broglie wave energy [Formula: see text] by making a distinction between particle energy [Formula: see text] and the total work done by the particle [Formula: see text], that which accumulates from both a spatial physical force [Formula: see text] and a force [Formula: see text] in the direction of time. In any experiment, either particles or de Broglie waves are reported, so that only one of [Formula: see text] or [Formula: see text] is physically measured, and particles appear for [Formula: see text] and de Broglie waves occur for [Formula: see text], but in either event both a measurable and an immeasurable energy exists. Conventional quantum mechanics operates under circumstances such that [Formula: see text] vanishes and [Formula: see text] becomes purely imaginary. If both [Formula: see text] and [Formula: see text] are generated as the gradient of a potential, the total particle energy is necessarily conserved in the conventional manner.

Mathematics and Mechanics of Solids•Jun 7, 2020•13 citations

Recent Progress in De Broglie Nonlinear Wave Mechanics

Ph. Gueret

Springer eBooks•Jan 1, 1985•0 citations

The Hadron is a Wave of the Darkness Energy to Pulsate.

Terubumi Honjou

De Broglie wave discovered a De Broglie wave . De Broglie wave is a wave to lead a particle. He interpreted it like that. The wave to lead was called a pilot wave. The pilot wave has phase velocity and group of series of waves speed. I regarded group speed as the movement speed of the free particle. The wave packet collapses immediately. The pilot waves exceed velocity of light. The material wave was finally interpreted as a wave of the probability to discover a particle. The people who had quantum mechanics such as de Broglie, Einstein, Schrodinger did not accept probability interpretation for life. It is super-high-speed, and the elementary particle pulsation principle interprets the wave packet of the material wave as one pulsating wave. I deny probability interpretation and correct quantum mechanics in the existence. The material wave pulsates in existing four-dimensional space. A material wave is a wave of the dark energy.

•Jun 1, 2016•0 citations

Wave/particle duality and de Broglie waves

Carson L. Tang

Cambridge University Press eBooks•Jun 23, 2005•0 citations

On the Physical Nature of the de Broglie Wave

Patrick Marquet

Progress in physics•Oct 1, 2016•2 citations

The Wave Properties of Particles

A.P. French, Edwin F. Taylor

The fact that light has some of the properties of ordinary particles led Louis de Broglie, in 1924, to construct a theory on the proposition that photons are particles. In the theory of wave motions, there is in general a difference between the speed of waves of some uniquely defined frequency, and the speed of a localized pulse such as de Broglie proposed to associate with a moving particle. Most often, one wishes to know the de Broglie wavelength for particles of a given kinetic energy. C. J. Davisson and L. H. Germer deliberately used single crystals as targets, and proceeded to discover just the kind of behavior that de Broglie's hypothesis of particle waves predicted. The development of electron microscopy, with its use of extremely well collimated, highly monoenergetic electron beams, has led to some beautiful demonstrations of the wave properties of electrons in analogs of optical diffraction phenomena. The strong reflection is a wave-like phenomenon totally unexpected from the classical picture of electrons.

Routledge eBooks•May 11, 2018•0 citations
The existence of the so-called ‘dark’ issues of mechanics implies that our present accounting for mass and energy is incorrect in terms of applicability on a cosmological scale, and the question arises as to where the difficulty might lie. The phenomenon of quantum entanglement indicates that systems of particles exist that individually display certain characteristics, while collectively the same characteristic is absent simply because it has cancelled out between individual particles. It may therefore be necessary to develop theoretical frameworks in which long-held conservation beliefs do not necessarily always apply. The present paper summarises the formulation described in earlier papers (Hill, JM. On the formal origin of dark energy. Z Angew Math Phys 2018; 69:133-145; Hill, JM. Some further comments on special relativity and dark energy. Z Angew Math Phys 2019; 70: 5–14; Hill, JM. Special relativity, de Broglie waves, dark energy and quantum mechanics. Z Angew Math Phys 2019; 70: 131–153.), which provides a framework that allows exceptions to the law that matter cannot be created or destroyed. In these papers, it is proposed that dark energy arises from conventional mechanical theory, neglecting the work done in the direction of time and consequently neglecting the de Broglie wave energy [Formula: see text]. These papers develop expressions for the de Broglie wave energy [Formula: see text] by making a distinction between particle energy [Formula: see text] and the total work done by the particle [Formula: see text], that which accumulates from both a spatial physical force [Formula: see text] and a force [Formula: see text] in the direction of time. In any experiment, either particles or de Broglie waves are reported, so that only one of [Formula: see text] or [Formula: see text] is physically measured, and particles appear for [Formula: see text] and de Broglie waves occur for [Formula: see text], but in either event both a measurable and an immeasurable energy exists. Conventional quantum mechanics operates under circumstances such that [Formula: see text] vanishes and [Formula: see text] becomes purely imaginary. If both [Formula: see text] and [Formula: see text] are generated as the gradient of a potential, the total particle energy is necessarily conserved in the conventional manner.
De Broglie wave discovered a De Broglie wave . De Broglie wave is a wave to lead a particle. He interpreted it like that. The wave to lead was called a pilot wave. The pilot wave has phase velocity and group of series of waves speed. I regarded group speed as the movement speed of the free particle. The wave packet collapses immediately. The pilot waves exceed velocity of light. The material wave was finally interpreted as a wave of the probability to discover a particle. The people who had quantum mechanics such as de Broglie, Einstein, Schrodinger did not accept probability interpretation for life. It is super-high-speed, and the elementary particle pulsation principle interprets the wave packet of the material wave as one pulsating wave. I deny probability interpretation and correct quantum mechanics in the existence. The material wave pulsates in existing four-dimensional space. A material wave is a wave of the dark energy.
The fact that light has some of the properties of ordinary particles led Louis de Broglie, in 1924, to construct a theory on the proposition that photons are particles. In the theory of wave motions, there is in general a difference between the speed of waves of some uniquely defined frequency, and the speed of a localized pulse such as de Broglie proposed to associate with a moving particle. Most often, one wishes to know the de Broglie wavelength for particles of a given kinetic energy. C. J. Davisson and L. H. Germer deliberately used single crystals as targets, and proceeded to discover just the kind of behavior that de Broglie's hypothesis of particle waves predicted. The development of electron microscopy, with its use of extremely well collimated, highly monoenergetic electron beams, has led to some beautiful demonstrations of the wave properties of electrons in analogs of optical diffraction phenomena. The strong reflection is a wave-like phenomenon totally unexpected from the classical picture of electrons.