Scope

1. An Unified Field Theory ("SMEP" and gravity) is provided accompanied by

- a well-posed 3D-NSE system enabled by dynamic fluid particles
- a Yang-Mills SU(2)-invariance for atomic particles
- a Schrödinger 2.0 operator enabled by the Riesz operator

The scope of the underlying deductive quanta numbers scheme is built from purely dynamic vacuum & perfect plasma quanta pairs up to three types of mechanical atomic nucleus quanta; the latter ones may be interpreted as atomic nuclei of conductor, semi-conductor, and non-conductor atoms. 

Out of scope are appropriately defined baseline entities for organic and biological entities, as the definition of such entities demands for adequately defined "top-down" modelling requirements.

The starting point to collect such requirements defining baseline organic chemistry entities might be guided by the question, how "living water" occurs on Earth. The two current theories, by asteroids from other galaxies or from the Earth's interior, doesn's sound very likely.

The appropriate list of requirements defining baseline biological entities puts the spot on the concepts of "cell" (living entity) and "virus" (neither dead matter nor living entity). A probably first starting point for adequate requirements might be the "Warburg effect" (where "cancer cells metabolize a large fraction of glucose to lactate, even under a sufficient oxygen supply") in the context of "cancer as a metabolic disease", (SeT). In (NiM) it is shown that "a number of cytosolic electrons just take the “emergency exit” from the cell by lactate secretion to maintain the cytosolic redox balance".


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 Unified Field Theory includes a

- 2-component dynamic "Perfect Plasma" Maxwell-Mie Theory (PMT)
- 2-component mechanical "Electromagnetics" Maxwell-Mie Theory (EMT)
- 1-component mechanical "Dirac 2.0 Atomic Nucleus" 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.

The UFT solves the baseline "self-energy problem" of an electron, avoiding the spin and the iso-spin hypotheses, (UnA6) p. 100. It provides an appropriate modelling framework explaining the decay of a neutron into an electron and a proton (as part of the PMT). It also "explains" why a magneton meeting an electroton "decays" into "pure energy" (as part of EMT), (UnA6) p. 102.

Regarding ANT the term "Dirac 2.0 Atomic Nucleus" is chosen in reference to the term "Mach 2.0" principle, which is essentially the Mach principle + Dirac's two large number hypotheses, (UnA1) p. 156.

The PMT may be interpreted as an Einstein-Lorentz ether, (EiA5). 

The borderlines between the 2-component, purely dynamic worlds and the 1-component mechanical worlds may be characterized by appropriate „Nature constants“. The borderline between PMT and ANT puts the spot on the several different "plasma matter" types and the related different plasma theories ("hot", "medium", "cold", "solid").

The EMT "explains" the so-called "photopheresis" phenomenon discovered by F. Ehrenhaft, (BrJ).

The Mawell-Mie equations framework "explains", why the field possesses a granular structure, while the knots of energy remain intact in spite of the back-and-forth flux of energy and momentum, (WeH) p. 171. 

In line with the Mie theory Einstein’s theory can be derived from Hilbert’s gravitational (matter) Lagrangian accompanied by an appropriately defined „total action“ term, (PeR4) p. 490.

Einstein's famous formula  E = m*c*c  may be interpreted as approximation formula, where the energy terms on both sides of the equation are interpreted as norms of the underlying weak variational representation in a less granular energy Hilbert space framework.


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).