General Quantum Relativity

In this work the author will show how the assumption of a sub-structured space time automatically leads to a quantum relativity. Starting from a slightly adapted Dirac approach defining the Dirac operator on a metric, we simply have to choose this metric in accordance with the Einstein Field equations in order to bring the Quantum Theory and the General Theory of Relativity closer together.
As an application we will consider the connection to certain classical quantum mechanical problems like the harmonic quantum oscillator and the quantum well.
We will also consider the Schwarzschild and the Reissner-Nordstцm solution for the charged and uncharged black hole and see how a small adaptation could help us to get rid of the singularity for the Kretschmann invariant.
As a consequent extension of the new metric, we can derive a metric apparently describing other charges like the chromo-charge.
We show how dynamic processes on the sub-scale structure do not only bring about mass but also explain the character of matter and anti-matter. Along the way other solutions appear where it is not clear yet what meaning they might have in reality.
By considering the transition to the Schrцdinger picture it becomes clear that a potential as been used within the Schrцdinger equation appears as distorted space in the general quantum theory. The connection can be derived in a direct manner.
Any potential or process is just wiggling of space and time with apparently rather simple equations to describe them.
In connection with expansion of the universe the derived equations also seem to provide the means to explain the matter and anti-matter asymmetry observed in our universe.