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

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, λ ) , where λ is its wavelength. It was further assumed that ≅ λ
≅ 4 . 32 × 10
8 . La Place using moon astronomical arguments estimated that

*m*, assumed to emitted radially from an astronomical mass,_{g}*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**v*is the radial velocity of the graviton found by the use of quantum mechanics and*v*_{rms}*v*. From this last assumption and the*v*_{rms}calculated quantum mechanically, it is found that*m*_{g}*^{ }= 5 × 10^{−38 }kg and that*v*= 130 × 10_{g}^{17 }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,*v*and the energies of the graviton_{g}/c*E = hv/**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*v*/_{g}*c**v**= 1 × 10*_{g}/c^{8}. 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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