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The Oliveros Equation is an energy relation for a graviton (or photon) ejected by a singularity (an strict point of mass M at rest in the origin). It is supposed that the graviton can exceed the speed of ligth in vacuum, it hasn't mass at rest, and it is leaving the singularity under its proper Newton Gravitational Field. It is also supposed the Einstein Equivalence Principle for the mass of the graviton. The mass of such graviton is:


mc^2 =pc- \frac{GMm}{r}


The *Dunsby-Oliveros euclidean metric in spherical coordinates around a singularity is:


g_{\mu\nu}=\begin{pmatrix}(1+\frac{GM}{c^2r})^2&0&0&0\\0&-1&0&0\\0&0&-r^2&0\\0&0&0&-r^2sin^2{\theta}\end{pmatrix}


The scalar Oliveros wave equation for the gravitational field (graviton) around a singularity is:



-(1+\frac{GM}{c^2r})\partial t\psi=c\partial r\psi


The Oliveros wave function of a graviton around a singularity is:



\psi=cos(k(r +\frac{GM}{c^2}Ln(\frac{c^2r}{GM}))-\omega t)


The spanish physicist Ramon Oliveros, graduated in Applied Physics at UAM (Madrid) in 2001, achieve in the above form to unify Einstein Theory of Relativity with Newton Gravity and Quantum Mechanics, to obtain the wave function of a graviton around a singularity; an important work on Quantum Gravity. R. Oliveros: [1] Peter Dunsby [2]

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