Oliveros graviton

Oliveros Constant

The Oliveros equivalence between time and energymass is:

$$dt={\xi }{m}$$

$$dt=d\tau +\xi {dm}$$

with:

$$\xi \sim 10^{10}s/Kg$$

So, the Oliveros line element of a particle of proper mass m₀ , over the gravitational field generated per a singularity of mass M at the origin, would be:

$$mc^{2}=m_{0}c^{2}-{\frac {GMm}{r}}+pc$$

Or equivalently, the Oliveros Metric in spherical coordinates around such singularity, is:

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

The next Oliveros Equation, is an energy relation for a graviton ejected by a singularity; an strict point of mass M at rest in the origin. It is supposed that the graviton 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:

$$mc^{2}=pc=-{\frac {GM^{2}}{2r}}$$

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

$$\hbar \partial _{t}\psi =-\hbar {c}\partial _{r}\psi =-{\frac {GM^{2}}{2r}}\psi$$

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

$$\psi =cos({\frac {GM^{2}}{2hc}}Ln({r}))cos(\omega t)$$

The spanish physicist Ramón 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. [1]