arXiv subjects

Ezzat G. Bakhoum

Publications and source records attributed to Ezzat G. Bakhoum.

9 recordsLinked to original sources

arXiv2009

New Reflections on Electron's Energy and Wavefunction in the Hydrogen Atom

Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not been attempted in the published literature. This paper provides such an analysis for the first time and uncovers a few interesting facts, including the fact that a "zero-energy wavefunction" is actually a quantized version of the classical wavefunction that has been known for decades.

physics.gen-ph↗

arXiv2009

Electrodynamics and the Mass-Energy Equivalence Principle

In this paper we investigate the link between classical electrodynamics and the mass-energy equivalence principle, in view of the conclusions reached in ref.[1]. A formula for the radius of a charged particle is derived. The formula predicts the radius of the proton correctly. The radius of the electron turns out to be a surprising quantity that solves the existing problems of electrodynamics, particularly the problem of the infinite self-force of the electron. In addition, the classical radius of the electron (2.82fm) will prove to be not a "radius", but rather the mean distance through which the retarded potentials of the self-force act. An important conclusion is that there is no deficiency in the classical Abraham-Lorentz model of the self-force, but rather the problem lies with our intuitive understanding of what an elementary particle is. Other important conclusions are also discussed, including a physically sound explanation for why electric charges must be quantized (as opposed to Dirac's monopole theory).

physics.gen-ph↗

arXiv2007

Why E = mc^2 Emerges in the Process of Neutron Capture

This paper is a short commentary on the 2005 paper in Nature by S. Rainville et al., which claimed to be ``the most precise direct test of the famous equation", E = mc^2. This communication is directed only to the readers who are familiar with the earlier papers by the author on the subject of mass-energy equivalence.

physics.gen-ph↗

arXiv2005

E = mc^2. Or Is It? : A Comment on Manuscript astro-ph/0504486

Manuscript astro-ph/0504486 is a clear example of the fundamental conceptual flaw that had persisted for the past 100 years. Namely, the failure to realize that mass-energy equivalence, as applied to a propagating light particle (photon), is only a special case of a more general law that encompasses both photons and subluminal particles.

physics.gen-ph↗

arXiv2004

Two Common Misconceptions about the Theory of Special Relativity

Two common misconceptions about the theory of Special Relativity that are actively taught in textbooks are discussed. It is shown, first, that the Lorentz transformations are actually transformations of the coordinates of a photon, not the coordinates of a particle as taught by some authors. Secondly, a misconception concerning the relativistic Lagrangian is discussed. It is shown that the currently accepted formulation of the Lagrangian is missing an important constant of integration. By incorporating the missing constant of integration, the new Lagrangian directly supports the conclusions reached previously by the author concerning the mass-energy equivalence principle.

physics.gen-ph↗

arXiv2004

Dialogue on the Principle of Mass-Energy Equivalence

This paper is directed to the readers who are familiar with the earlier papers by the author on the topic of mass-energy equivalence. A number of important questions about the total energy equation H=mv^2 and its implications are answered qualitatively. The relationship between the equation H=mv^2 and the 4-vector (Minkowski) representation of Special Relativity is discussed in detail. Other issues, such as de Broglie's original formulation of wave mechanics, are also discussed.

physics.gen-ph↗

arXiv2003

Are There "Neutrino Flavors"? : More on the Equation H = mv^2

In a recent work by the author it was demonstrated that the "neutrino" that is currently being detected in solar reactions (and possibly in other high energy nuclear reactions) is not Pauli's particle; as it became clear that such a particle is an unnecessary proposition in explaining the beta-decay reaction. In addition, it became obvious that concepts such as "flavor oscillations" of the solar neutrinos are superfluous. In this paper it is further demonstrated that if certain key experiments of the past are reinterpreted in view of the total energy equation H=mv^2, then the principle of the existence of different neutrino "flavors" is itself very questionable.

physics.gen-ph↗

arXiv2002

On the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom

The recently introduced reconciliation of the theories of special relativity and wave mechanics implies that the mass-energy equivalence principle must be expressed mathematically as H = mv^2, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity; not H = mc^2 as was widely believed. In this paper, the equation H = mv^2 will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the well-known Sommerfeld-Dirac formula is still obtained, but without the constant term m_0 c^2 that was originally present in the formula.

physics.gen-ph↗

arXiv2002

Fundamental Disagreement of Wave Mechanics with Relativity

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.

physics.gen-ph↗