Quantum Theory of Gravity - "QTG"
Author: Rolf Arturo Blankschein Guthmann E-Mail: rolfguthmann@uol.com.br
Porto Alegre, May / 2002
Our initial postulate was that gravity is the result of the relative difference between the Coulomb force and the centripetal force within atoms, caused by the centrifugal inertia of the electron cloud, as established by the principles of relativity. This difference is a relative force that does not possess mass: after all the electrical charges are neutralized, we have a residual force representing an acceleration from the reference point of the nucleus.
We can determine the differences experienced by the particles in our universe of a single hydrogen atom when we change the point of reference.
As was shown, this led to an increase in the velocity of the electron.
Taking the special case where the nucleus is the point of reference, the classical gravity of the nucleus increases the velocity of the electron in the electron cloud, according to the General Theory of Relativity, unbalancing the atomic forces. The stability required by Quantum Mechanics must be maintained by subtracting exactly this difference in the velocity of the electron, which is achieved by inverting the formulation in equation 31:
We can thus recalculate the velocity of the electron (υ3electron) as follows:
Solving for υ3electron, we find the new velocity:
We can call this the “velocity of the electron modulated by the gravitational potential”. This is the velocity the electron must have in order to compensate for classical gravity and to balance the atomic forces for the nuclear point of reference.
We can now calculate the Coulomb force for this velocity:
This yields:
This yields:
By the classical formulation, we have:
The classical Newtonian equation thus yields the same value for the gravitational force:
We have seen that, given the principles of relativity and due to the gravitational conditions of the atom, a small variation in the velocity of the electron unbalances the forces such that, when the point of reference is the proton, the Coulomb force is greater than the centripetal force. This difference is the gravitational force. When the point of reference is the electron, the Coulomb force is equal to the centripetal force, ensuring the equilibrium of the system.
Within the atom, the nucleus is the point of external time reference. This residual force acts on the nucleus: it is experienced only by the proton. Being a relative force, it does not possess mass: it thus represents an inertia, which will only be experienced beyond the micro-temporal system under consideration.
The calculations presented here do not reflect reality exactly, but serve merely as a guide. If we take into account that the electron is a particle that can be located at any given instant, the resultant acceleration vector from these forces should possess a direction at that instant. We should therefore presume that the real velocity of the electron should be even less, just as the resultant gravitational force should be greater in reality than that obtained, because we know from the classical calculation that what is obtained is an average of the gravity at the surface.
Next Chapter: 7. The gravitational anomaly of the NASA Pioneer 10 probe.