arXiv subjects
Publications and source records attributed to Alexander G. Kyriakos.
The purpose of present paper is to develop the approach to calculation of the mass spectra of elementary particles within the framework of the resonance theory of elementary particles as de Broglie waves
In previous papers within the framework of the non-linear electromagnetic field theory - curvilinear waves electrodynamics (CWED)- we have considered the opportunity of occurrence of electromagnetic elementary particles similar to leptons and hadrons. In present paper we will show, that on this basis the spectra of more complex electromagnetic particles can also be naturally created
In previous paper we have shown that there is a special kind of nonlinear electrodynamics - Curvilinear Wave Electrodynamics (CWED), whose equations are mathematically equivalent to the equations of quantum electrodynamics. The purpose of the present paper is to show that in framework of CWED the known solutions of the nonlinear electromagnetic equations can be considered as the approximate solutions of the nonlinear equation of CWED. Another purpose of this paper is to show, that these solutions allow the description of electron-like particle of CWED as point of non-point particles, depending on mathematical approach.
A special non-linear equation of curvilinear electromagnetic wave is presented. The particularity of this equation lies in the fact that in matrix form it is mathematically equivalent to the Dirac electron equation. It is shown that the solution of this is the motion of the plane-polarized electromagnetic wave on a circular trajectory. It is also shown that such twirled wave can be considered as a massive charge particle with a spin of one half, similar to electron. The non-linear equation and its Lagrangian of these EM particles are founded.
In previous paper we have shown that there is a special kind of non-linear electrodynamics (which we name Curvilinear Wave Electrodynamics - CWED), whose equations are mathematically equivalent to the equations of photons and leptons of quantum electrodynamics. The purpose of the present paper is to show that in framework of CWED the description of the interaction is also mathematically equivalent to description of the interaction in quantum physics. Another purpose of this paper is to show that CWED allows to unify the description of interactions in physics.
A special non-linear electromagnetic field theory - the curvilinear wave electrodynamics (CWED), whose equation in the matrix form is similar to the equation of the Dirac lepton theory, is offered. It is shown that the solution of this equation is the motion of the circilarly polarized electromagnetic wave on a circular trajectory. It is also shown that such wave can be considered as a massive neutral particle with half spin, similar to neutrino. This theory is mathematically concurrent to the neutrino theory of Standard Model, but does not have the contradictions of the Standard Model with last data of neutrino experiments.
In the present paper it is shown that the Yang-Mills equation can be represented as the equation of the non-linear electromagnetic waves superposition. The research of the topological characteristics of this representation allows us to discuss a number of the important questions of the quantum chromodynamics.
The present paper is the continuity of the previous papers "Non-linear field theory" I and II. Here on the basis of the electromagnetic representation of Dirac's electron theory we consider the geometrical distribution of the electromagnetic fields of the electron-positron. This gives the posibility to obtain the explanation and solution of many fundamental problems of the QED.
The present paper is the continuation of the paper "Nonlinear field theory I". In the paper it is shown that a fully correspondence between the quantum and the nonlinear electromagnetic forms of the Dirac electron theory exists, so that each element of the Dirac theory acquires the known electrodynamics meaning and reversely
In the present paper it is shown that the Dirac electron theory is the approximation of the special nonlinear electromagnetic field theory
In the present paper it is shown that the Maxwell theory can be finely represented in the matrix form of Dirac's equation, if the Dirac wave function is identified with the electromagnetic wave by defined way. It seems to us, that such representation allows us to see new possibilities in the connection of the classical and quantum electrodynamics.
The suggested theory is the new quantum mechanics (QM) interpretation.The research proves that QM represents the electrodynamics of the curvilinear closed (non-linear) waves. It is entirely according to the modern interpretation and explains the particularities and the results of the quantum field theory.
In the previous papers (/quant-ph/0204037, /quant-ph/0204134, quant-ph/0205075), based on Dirac's equation we have considered the electromagnetic structure of the leptons. In the present paper, using the Yang-Mills equation we will analyse the electromagnetic structure of the hadrons.
In the previous papers (quant-ph/0204037), (quant-ph/0204134) on the basis of Dirac's equation we have considered the electromagnetic interpretation of the quantum theory of electron. Here we continue the electron structure study. Since the Dirac equation is also the equation of the other leptons, in the present paper from the electromagnetic point of view we analyse the structure of neutrino. We will show that not only the electron but also all the other leptons have the electromagnetic structure.
In the previous paper (quant-ph/0204037) we proved that the quantum mechanics not only has statistic interpretation, but also the specific electromagnetic form. Here, from this point of view we show that all the formal particularities of Dirac's equation have also the known electromagnetic sense.
There is a certainty that the modern (Copenhagen's) interpretation of quantum mechanics is correct. However, the some physicist had the opinion that the modern quantum mechanics is a phenomenological theory. The suggested theory is the new quantum mechanics interpretation that is entirely according to the modern interpretation and gives a number of results, which naturally explain the postulates of the modern quantum mechanics.