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arXiv:physics/0206061 · Physics Essays

Fundamental Disagreement of Wave Mechanics with Relativity

Ezzat G. Bakhoum

Published Mar 1, 2002• 6 citations
arXivHTMLPDF

Abstract

A number of well-known difficulties in physics resulted from merging the theory of relativity with the Compton-de Broglie wave mechanics. Two such problems were the failure of Dirac's relativistic wave equation to predict the correct velocity of the electron, and the fact that the measured yield from nuclear fission was found to be substantially less than the theoretical yield. It is shown that the origin of these and other problems stem from the inconsistency of the relativistic mass-energy equivalence principle with the fundamental assumptions of wave mechanics. An alternative view of the concept of mass-energy equivalence that results in a very good agreement between theory and experiment is demonstrated. The conclusions of this paper will be quite important for ongoing research, such as the current problem of the neutrino's mass.

DOI
10.4006/1.3025514

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A number of well-known difficulties in physics resulted from merging the theory of relativity with the Compton-de Broglie wave mechanics. Two such problems were the failure of Dirac's relativistic wave equation to predict the correct velocity of the electron, and the fact that the measured yield from nuclear fission was found to be substantially less than the theoretical yield. It is shown that the origin of these and other problems stem from the inconsistency of the relativistic mass-energy equivalence principle with the fundamental assumptions of wave mechanics. An alternative view of the concept of mass-energy equivalence that results in a very good agreement between theory and experiment is demonstrated. The conclusions of this paper will be quite important for ongoing research, such as the current problem of the neutrino's mass.
A number of well-known difficulties in physics resulted from merging the theory of relativity with the Compton-de Broglie wave mechanics. Two such problems were the failure of Dirac’s relativistic wave equation to predict the correct velocity of the electron, and the fact that the measured yield from nuclear fission was found to be substantially less than the theoretical yield. It is shown that the origin of these and other problems stem from the inconsistency of the relativistic mass-energy equivalence principle with the fundamental assumptions of wave mechanics. An alternative view of the concept of mass-energy equivalence that results in a very good agreement between theory
Physics is also known as a science of observation and experiment. In this paper, the most representative experimental verification of general relativity, "Mercury perihelion precession", is used for mathematical derivation and analysis, and the serious errors in the experimental verification are expounded deeply. Furthermo2re, the Lorentz transformation, the core formula of special relativity, is mathematically deduced and analyzed, and the contradictions and errors existing in the Lorentz transformation are profoundly revealed. These contradictions and errors involve the deep relationship between physics and mathematics, and are also the core problems faced by theoretical physics. Minkowski's four-dimensional spacetime contradicts the "principle of constant speed of light", and there are serious errors in the "relativity of simultaneity". The so-called experimental verification of the theory of relativity is false, and there is a fundamental error in the theory of relativity, which will lead to the collapse of the whole theoretical building, including general relativity. The basic formula of quantum mechanics, "matter wave" wavelength λ=h/p , is also based on the wrong Einstein "massenergy equation". Therefore, the wave function of "matter wave" established on the wavelength λ=h/p of "de Broglie wave" and the Schrodinger equation are all pseudo-formulas without any physical significance. Schrodinger equation is the core formula of quantum mechanics. This is enough to cause the collapse of quantum mechanics.The mathematical derivation of the Compton effect was completely based on the pseudo-concepts of special relativity such as "mass-energy equation" and "moving mass", while Einstein's explanation of the photoelectric effect was limited by the scientific and technological level at that time. The Compton effect and the photoelectric effect, as the two most important experimental verification of the "waver-particle duality" of light, were not valid. "Wade-particle duality" is another misdirection of Einstein to human beings, which "inspired" de Broglie to put forward the famous "matter wave" hypothesis, and the "matter wave" concept is the root that led theoretical physics to fall into the abyss of quantum mechanics. In addition, there are serious errors in the basic concept of quantum mechanics. "Monochromatic radiant outdegree" is an incomplete definition of physics, which is also the root cause of the "ultraviolet disaster" problem. The defective physics concept of "monochromatic radiant outdegree" is also an important reason for theoretical physics to fall into the "quantization" quake-pit. The "ultraviolet catastrophe" problem of blackbody radiation is a physical accident caused by the artificially defined defect concept of "monochromatic radiance outdegree". Boer's hydrogen atom theory is the foundation theory of quantum mechanics. Like relativity theory, this theory also has the problem that the same mathematical symbol expresses two contradictory physical meanings at the same time. Quantum tunneling has the problem of different physical interpretation of mathematical formulas. No matter the premise or the core formula, there are serious contradictions and errors in quantum mechanics, and quantum mechanics is also a wrong theory. The theory of relativity and quantum mechanics is a lost on the journey of human truth exploration. The fundamental errors of relativity and quantum mechanics will lead to the comprehensive collapse of theoretical physics system including relativistic quantum mechanics, quantum field theory (quantum electrodynamics, quantum chromodynamics, unified theory of weak electricity, standard model of elementary particle physics), Yang Mills theory and so on. Fortunately, in the course of nearly a century of exploration, human beings have accumulated a large number of empirical results. Although the theory Journal of Electrical Electronics Engineering ISSN: 2834-4928 1 Department of Mathematical Science, College of Science, Tsinghua University, Beijing 100084, China 2 School of Physics, Peking University, Beijing 100091, China 3 School of Astronomy and Space Science, University of Science and Technology of China, Anhui 230026, China J Electrical Electron Eng, 2023 Volume 2 | Issue 4 | 381 of relativity is completely wrong, it does not affect the real existence of such an objective thing as the atomic bomb. Laser, transistor, tunnel microscope and so on have nothing to do with quantum mechanics, because quantum mechanics is also a fundamentally wrong theory, but this does not hinder the validity of the existing experimental results, the so-called experimental verification of relativity and quantum mechanics are forced to incorporate experimental results and physical phenomena into their own theoretical system. Special thanks to Academician Chen Jia-er for his theoretical guidance and help
We will here show that there is one more relativistic wave equation rooted in the relativistic energy Compton moment relation, which should not be confused with the standard relativistic energy momentum relation. The standard momentum is, from a quantum perspective, rooted in the de Broglie wave. The de Broglie wave is not mathematically defined for rest-mass particles and has strange properties such as converging to infinity when the particle is almost at rest. As mentioned in the previous paper, the de Broglie wave is likely just a mathematical derivative of the true matter wave, which we have good reasons to think is the Compton wave. A wave equation that satisfies the relativistic energy Compton momentum relation will, in addition automatically satisfy the standard relativistic energy momentum relation, so there is no conflict between these two relations. The new one related to Compton is just the deeper reality and help explain why it gives simpler and more elegant relativistic wave equations, which are likely easier to interpret in terms of the physical reality.
It is well known that the kinetic energy formula of classical mechanics has a limited range of applicability. That formula breaks down when the mass of a moving body increases and the effects of relativity can no longer be ignored. More than a hundred years ago, Sommerfeld and Einstein defined relativistic kinetic energy as the difference between a body’s relativistic energy and its rest mass energy. This paper, however, derives a formula for relativistic kinetic energy that is not a definitional formula. The formula derived in this paper incorporates the phase velocity of a wave. It further finds that the phase velocity of the wave is an important physical quantity linking a body’s kinetic energy and momentum. In current standard physics, the de Broglie wave is not regarded as having physical reality. Nevertheless, this paper concludes that the phase velocity of a matter wave is an essential physical quantity.
In this paper, we discuss in brief the most common wave equations in quantum mechanics and some recent development in wave mechanics. We also present two new quantum wave mechanics equations based on the Compton momentum. We also question the idea that energy and mass are scalars, and we claim they are vectors instead. We have good reasons to think that the standard momentum is a mathematical derivative of the more fundamental Compton momentum. This will hopefully simplify interpretations of quantum mechanics significantly; our new relativistic wave equations look promising, but need further investigation into what they predict. This way of looking at quantum mechanics in new light is not in conflict with existing equations, but they are supplemental to the collection of existing wave equations. We prove mathematically that if one satisfies our new relativistic energy Compton momentum relation, one also satisfies the standard relativistic energy momentum relation automatically. They are two sides of the same coin, where the relations to the Compton wavelength likely represent the deeper reality, so we have reasons to think our new wave mechanics addresses a deeper level of understanding than the existing conception. We also look at our new wave equation in relation to hydrogen-like atoms; we follow the “standard approach” used for the Schro dinger equation of putting it in polar coordinate form and, by change of variables, finding three ODEs and their solutions. We give a table summary of our new ODEs and their solutions compared to the well-known solutions of the Schro dinger equation.
This paper analyzes the quantities of energy and momentum in the definitional rela-tionship of relativistic mechanics, in the de Broglie momentum hypothesis and in the Klein-Gordon, Dirac and Schrodinger equation. The results of analysis shows that Planck constant and relativistic relationships on the length contraction and increase in mass are a reflection of the same physical principles in nature, that λ designated in the de Broglie hypothesis λ =h/mv as the wave of matter with rest state value λ = ∞ must be connected with a real dimension of a particle with rest state value λ = lo = moc and that on this ba-sis we can come to the fundamental equations of quantum mechanics that are the Klein-Gordon, Dirac and Schrodinger equation without the necessity of the wave functions.