Probing the mathematical nature of the photon field

Scientific Journal of Pure and Applied Sciences

B S T R A C T This article is based on a concept; "During the conversion of energy into mass, the interaction properties between the Sub Quantum Energies (SQEs) are transferred from photon to fermions and bosons". We have accepted that nature of gravity is quantized, but according to the behavior of photons in the gravitational field, we provide a new definition of gravitons. Then we explain the relationship between gravity and electromagnetic energy. According to the experimental observations, we generalize the Maxwell equations of electromagnetism to the gravitational field. We use the pair production and decay to show that a charged particle acts like a generator, the generator input and output are gravitons and virtual photon. The negative charged particle produces positive virtual photon and positive charged particle produces negative virtual photon. A negative and a positive virtual photon combine with each other in the vicinity of a charged particle and cause the charged particle to accelerate. Although this approach to Quantum Field Theory (QFT) is presented, it has some differences. The mechanism of negative and positive virtual photons interaction is easier and more realistic than exchange particles of QFT, and it also has no ambiguities of QFT. After all, we explain the real photon and its structure by using the virtual photons. Regarding the equivalence of mass-energy and the photon structure, structure of matter was explained. Then we will explain the relationship between speed and spontaneous symmetry breaking, when the particles linear speed is reduced, physical symmetry, one after the other is broken spontaneously.

Nuovo Cimento Della Societa Italiana Di Fisica A-nuclei Particles and Fields, 1968

2011

A new quantum representation of the electro-magneti c field is introduced based on a bilinear expansion of the field in terms of quark creation and annihilati on operators. This representation has definite adva ntages, leading automatically to the transversal nature of photons and eliminating the need for artificial gau e fixing. However, this representation seems unable to produce the correct expectation value of the ene rgy of a photon. To cure this situation a new continuous q antum number is introduced, which entails new positional information of a classical nature. In st andard applications of quantum field theory these d egrees of freedom are hidden as they only lead to trivial phase factors. However, in many-body situations and when the state vectors are superpositions of moment um s ates, the phase factors can no longer be ignor ed and provide positional information about the partic les. Hence, in situations typical of classical syst ems the “hidden” degrees of freedom emerg...

Journal of Physics A: Mathematical and General, 1997

A review of old inconsistencies of Classical Electrodynamics (CED) and of some new ideas that solve them is presented. Problems with causality violating solutions of the wave equation and of the electron equation of motion, and problems with the non-integrable singularity of its self-field energy tensor are well known. The correct interpretation of the two (advanced and retarded) Lienard-Wiechert solutions are in terms of creation and annihilation of particles in classical physics. They are both retarded solutions. Previous work on the short distance limit of CED of a spinless point electron are based on a faulty assumption which causes the well known inconsistencies of the theory: a diverging self-energy (the non-integrable singularity of its self-field energy tensor) and a causalityviolating third order equation of motion (the Lorentz-Dirac equation). The correct assumption fixes these problems without any change in the Maxwell's equations and let exposed, in the zero-distance limit, the discrete nature of light: the flux of energy from a point charge is discrete in time. CED cannot have a true equation of motion but only an effective one, as a consequence of the intrinsic meaning of the Faraday-Maxwell concept of field that does not correspond to the classical description of photon exchange, but only to the smearing of its effects in the space around the charge. This, in varied degrees, is transferred to QED and to other field theories that are based on the same concept of fields as space-smeared interactions.

Oberwolfach Reports, 2018

Quantum field theory (QFT) may be considered one of the most fundamental frameworks of theoretical physics. Quantum Electrodynamics (QED) is the part of QFT that describes the interaction between matter and light. Although it is one of the experimentally best tested theories, it yet faces many open mathematical questions and challenges. The mathematical rigorous framework of QED and the implications deriving from it is the topic of Workshop 1737 held at MFO from September 11 through 15, 2017, bringing together mathematicians and theoretical physicists to discuss topics such as high-and low-energy QED, external field QED, quantum optics, many-boson and many-fermion systems, transport properties in condensed matter.

2013

The quantum field theories (QFT) constructed in [1,2] include phenomenology of interest. The constructions approximate: scattering by $1/r$ and Yukawa potentials in non-relativistic approximations; and the first contributing order of the Feynman series for Compton scattering. To have a semi-norm, photon states are constrained to transverse polarizations and for Compton scattering, the constructed cross section deviates at large momentum exchanges from the cross section prediction of the Feynman rules. Discussion includes the incompatibility of canonical quantization with the constructed interacting fields, and the role of interpretations of quantum mechanics in realizing QFT.

Journal of Fundamental and Applied Sciences, Vol. 9, No. 1, pp. 411-467, 2017

It is shown that the angular frequency of the photon is nothing else than the averaged angular frequency of revolution of the electron cloud's center during emission and quantum transition between two energy levels in an atom. On assumption that the photon consists of charged particles of the vacuum field (of praons), the substantial model of a photon is constructed. Praons move inside the photon in the same way as they must move in the electromagnetic field of the emitting electron, while internal periodic wave structure is formed inside the photon. The properties of praons, including their mass, charge and speed, are derived in the framework of the theory of infinite nesting of matter. At the same time, praons are part of nucleons and leptons just as nucleons are the basis of neutron stars and the matter of ordinary stars and planets. With the help of the Lorentz transformations, which correlate the laboratory reference frame and the reference frame, co-moving with the praons inside the photon, transformation of the electromagnetic field components is performed. This allows us to calculate the longitudinal magnetic field and magnetic dipole moment of the photon, and to understand the relation between the transverse components of the electric and magnetic fields, connected by a coefficient in the form of the speed of light. The total rest mass of the particles making up the photon is found, it turns out to be inversely proportional to the nuclear charge number of the hydrogen-like atom, which emits the photon. In the presented picture the photon composed of praons moves at a speed less than the speed of light, and it loses the right to be called an elementary particle due to its complex structure.

The Journal of Physical Chemistry A, 2009

It is easy to draw an intuitive parallel between the classical free electromagnetic field and its corresponding quantum, the photonsa spin-1 object. The situation with a massive particle such as an electron is less clear, as a real-world analog of the classical field whose quantum is the massive particle is not available. It is concluded that the fermion particle perspective provides the best avenue for an intuitive grasp of the spin of an elementary fermion.

1999

Maxwell equations (Faraday and Ampere-Maxwell laws) can be presented as a three component equation in a way similar to the two component neutrino equation. However, in this case, the electric and magnetic Gauss's laws can not be derived from first principles. We have shown how all Maxwell equations can be derived simultaneously from first principles, similar to those which have been used to derive the Dirac relativistic electron equation. We have also shown that equations for massless particles, derived by Dirac in 1936, lead to the same result. The complex wave function, being a linear combination of the electric and magnetic fields, is a locally measurable and well understood quantity. Therefore Maxwell equations should be used as a guideline for proper interpretations of quantum theories.

Annual Review of Nuclear Science, 1970