Scope

1. An Unified Field Theory
2. A proof of the Riemann Hypothesis
3. A proof that the Euler-Maschenori constant is irrational

The proposed solution concepts may be described as simple, but not easy. None of those are doubled checked and approved by the processes of the ivory towers.


1. An Unified Field Theory

The UFT includes a

- 2-component dynamic Plasma Maxwell-Mie Theory (PMT)
- 2-component mechanical Electromagnetic Maxwell-Mie Theory (EMT)
- 1-component mechanical Dirac 2.0 Atomic Nuclei Theory (ANT)
- 1-component Dynamic Fluid Theory (DFT)

enabling e.g. the solutions of

- the 3D-Navier-Stokes equations problem by the DFT
- the Yang-Mills mass gap problem by the ANT.

All known tests of the GRT can be explained with the concept of a variable speed of light, (DeH), (UnA1) p. 142. The claim is, (BrK10), that the DFT in combination with the SRT,  „Einstein’s lost key“, i.e., a variable speed of light, (UnA), Dicke’s „Gravitation without a principle of equivalence“, (UnA1) p. 131, Sciama‘s „On the origin of inertia“, (UnA1) p. 134, and Klainerman’s „Nonlinear stability of the Minkowski space“, (ChD), provides an UFT consistent alternative to the GRT.

The current two physical structures, the phenomenological and the conceptual structure of physics, mutually dependent on each other. This resulted into regional disciplines of physics, where physics at large scale decouples from the physics at a smaller scale, whereby in some relevant cases specific „Nature constants“ occur reflecting the „borderline“ between those two physical „realities“. The deductive structure of the UFT requires and enables a new concept of „Nature constants“, where the „borderlines“ between the dynamic and the mechanical physical "realities" are described.


2. A proof of the Riemann Hypothesis

The proof of the Riemann Hypothesis is enabled by a combined integral AND series representation of Riemann’s meromorph Zeta function occuring in the symmetrical form of his functional equation, (EdH) 1.6, 1.7. This representation is a simple application of one of Milgram's integral and series representations, (MiM).


3. A proof that the Euler-Mascheroni constant is irrational

A strictly monotonically increasing sequence of transcendental numbers is constructed, which converges to the Euler-Mascheroni constant. This proves that the constant is irrational.

The basic tool is about Bessel functions and there related Mellin transforms in combination with the technique of R. P. Brent regarding the "asymptotic expansions inspired by Ramanujan", (BrR).