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Estimates of the superluminal graviton velocity and rest mass from Newtonian quantum gravity

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The lowest-order spherically symmetric solution for the Newtonian quantum gravity equation is used to find the root-mean-square radial velocity of a graviton of mass, mg , assumed to emitted radially from an astronomical mass, M* to an astronomical mass, M. The graviton, in turn, is re-emitted radially to M* to define the author's mechanism for the mediation of the gravitational force. The “inertial” mass of the graviton is found from Planck's law expressed as m* g  = h/(v λ ) , where v is the radial velocity of the graviton found by the use of quantum mechanics and λ is its wavelength. It was further assumed that v rms v. From this last assumption and the v rms calculated quantum mechanically, it is found that mg * = 5 × 10−38 kg and that vg  = 130 × 1017 m/s. Since the wavelength of the graviton is not known, various values of the wavelength were assigned from 10−14 to 10−11 m. The inertial mass was then calculated and in turn, the graviton velocity was calculated. In addition, vg/c and the energies of the graviton E = hv/ λ eV are calculated. A table is generated using the range of the wavelengths above in order to make a parametric study of the variables used. It was found that for a wavelength of 10−13 m that vg /c 4 . 32 × 10 8 . La Place using moon astronomical arguments estimated that v g/c = 1 × 108. Newton conjectured that the graviton velocity was infinite which would imply, in terms of the above theory, a graviton wavelength of zero. The author used his superluminal relativistic energy equation to find the rest mass of the graviton.
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Keywords: Graviton Energy; Graviton Mass; Graviton Rest Mass; Graviton Root-Mean-Square Velocity; Graviton Wavelength; Newton and Laplace Graviton Velocity Estimates; Newtonian Quantum Gravity

Document Type: Research Article

Publication date: December 1, 2016

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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