Yang-Mills theories are a very fruitful concept in quantum field theory. Fundamental interactions and its unifications can be described with Yang-Mills theory. However, gravity is still not modeled in the framework of Yang-Mills theory. It is modeled in terms of the Einstein-Hilbert action in the case of semiclassical field theory, but ordinary quantization of the spacetime field fails due to UV divergences. A possible approach to quantum gravity called E-gravity theory avoids UV-divergences. Primary, this theory is based on a spacetime discretization and the assignment of a curvature measure to discretized spacetime. This paper shows that this approach is also a special case of Yang-Mills theory.

Quantum gravity theories are relevant for very high energies that occurred e.g. during the Big Bang. These theories also make statements for the entropy of a Black hole. This papers shows how the entropy of a Black Hole is computed approximately by E-gravity theory. Also quantum fluctuations affected by gravity are discussed.

A couple of quantum gravity theories were proposed to make theoretical predictions about the behavior of gravity. The most recent approach to quantum gravity, called E-theory, is proposed mathematical, but there is not formulated much about what dynamics of gravity this theory proposes. This research paper treats the main results of the application of E-theory to General relativity involving conservation laws and scattering of particles in presence of gravity. Also the low-energy limit of this theory is shown.

Differential geometry is a powerful tool in various branches of science, especially in theoretical physics. Ordinary differential geometry requires differentiable manifolds. This research paper shows how concepts of differential geometry can also be applied to pure topological spaces. Such a theory is based on concepts like cohomology theory. It allows to define a curvature operator also on pure topological spaces without connection. The main advantage of this theory is that the only required information about the topological spaces is the structure of these spaces. A formulation of quantum gravity is also possible with this theory.

Topological Dipole Field Theory was proposed as an extension of the Standard model of particle physics. The transition amplitude per time for a propagation of a gauge boson can be computed from this theory. This research paper shows a numerical implementation of Topological Dipole Field Theory for a simple photon propagation. For simplicity the numerical simulation is applied to a monochromatic gamma ray such that it can be executed in one space and one time direction. Effects of Topological Dipole Field Theory like the high probability for fluctuations of energy and momentum are taken into account.

The Standard model of particle physics is successful in the description of many scattering processes in nature. There are also phenomena in nature like the Baryon asymmetry that are based on scattering processes which cannot be described by the Standard model. This research paper treats simple scattering processeses which are predicted by Topological Dipole Field Theory. These scattering processes have their origin in additional interactions between gauge bosons.

The Standard model of particle physics is based on nonabelian gauge theories. Since there are observed phenomena which cannot be explained with ordinary Standard model, this theory can be further generalized. This paper treats an extension of the Standard model by introducing a generalization of nonabelian gauge theories.

Quantum theory has found that elementary particles in addition to the classic field quantity have also quantum-mechanical degree of freedom. This research paper defines another hypothetical intrinsic degree of freedom which has a topological nature.  A topological quantum field theory is constructed to this hypothetical degree of freedom.