GRAVITATION AND RADIATION WITHOUT RECOURSE TO GENERAL RELATIVITY AND QUANTUM MECHANICS (original) (raw)
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EXTENDING COULOMB'S LAW FOR GRAVITATION AND RADIATION
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International Journal of Electromagnetics, 2016
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How wonderful that we have met with a Paradox. Now we have some hope of making progress." Niels Bohr Niels Bohr satisfaction was concerning the statement he had made some years before, that a gyrating electron around a proton nuclei cannot emit radiation. In fact, if it were, the electron will fall down on the proton, which is not what is observed! This statement was in total contradiction to what Joseph Larmor had demonstrated mathematically in 1897. And when general relativity theory was adopted, Larmor's formula induced the "Paradox of radiation of charged particles in a gravitational field". With this Paradox, Bohr was hoping that resolving it will theoretically justify his statement. The derivation of the radiation of an electrostatic field emitted by an electric charge moving with constant velocity, done by Oliver Heaviside, was puzzling since it suggested that the field propagates faster than light. The resolution of this issue shows that the wave propagates at the speed of light and that there is no aberration phenomenon when a charge is moving. This conclusion about the aberration of a moving charge can be extended, surprisingly, to any pushing gravity theory, like the one of Nicolas Fatio or Le Sage. But, more than that, the creation of a dynamic electric field leads us to pose the issue of the existence of an absolute universe, which has been denied by Mach and Einstein, for inertia. Also, the radiation by electrons circulating in a circular ring at high constant velocity, like in a synchrotron facility, which radiation is observed everyday, is not so clear a situation to state if an uniformly accelerated charge does radiate or not. By addressing these issues, we will demonstrate, following Feynman's proposal, that a charged particle can create a photonic radiation (and not a wave as too often said) only when the charged particle is subject to a variable acceleration. Therefore, since there is no radiation when an electron is uniformly accelerated, it resolves both the Paradox and the case of the Niels Bohr hydrogen atom model. We will also show that the electrostatic field is an emergent phenomenon induced in the vacuum by the sole presence of electric charges (electron and positron only, no quarks! [1]).
The unified theory of gravitation and electromagnetism
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ABERRATION OF ELECTRIC FIELD AND ACCELERATED MOTION OF AN ELECTRON WITH CONSTANT MASS
2019
An electron of mass m and charge-e moving with velocity v at an angle q to the accelerating force, due to an electric field of intensity E, is subject to aberration of electric field. Aberration is due to relativity of velocity (c-v) between the electrical force, transmitted with velocity of light c and the electron moving with velocity v at time t. The accelerating force m(dv/dt) is less than the electrostatic force-eE, the difference being radiation reaction force. Energy radiated is the difference between change in potential energy and change in kinetic energy. Motion of the electron with constant mass and its radiation power are treated under acceleration with q = 0 or deceleration with q = p radians or at constant speed v, in a circle of radius r, with q = p/2 radians. It is shown that circular revolution of an electron round a central force of attraction, as in the Rutherford's nuclear model of the hydrogen atom, is without radiation and stable outside quantum mechanics, contrary to classical and relativistic electrodynamics.
A comparison of important equations is made in classical, relativistic and radiative electrodynamics. The main difference is emission of radiation. Motion of a charged particle, such as an electron, in an electric field, is treated under acceleration or deceleration or circular revolution. At low speeds, the equations of relativistic and radiative electrodynamics converge to classical electrodynamics. Equations of classical electrodynamics are incompatible with those of relativistic and radiative electrodynamics at high speeds near that of light. Equations of relativistic and radiative electrodynamics show agreement for accelerated electrons, but there is divergence for decelerated electrons. Considering aberration of electric field, equations of motion in radiative electrodynamics are derived for a charged particle moving up to the speed of light, with constant mass and emission of radiation. An equation for radiation power of an accelerated electron shows that revolution of an electron, round a central force of attraction, is stable, outside quantum mechanics. An extended equation for Coulomb's law is given, incorporating radiation and gravitation, to make the relativity and quantum theories unnecessary.
Electromagnetic radiation, electromagnetism and gravitation (unified theory
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Atom in a New Light: orbiting electrons do not radiate and Rutherford atom is stable
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