This homepage addresses the problem & solution areas

A. The Riemann Hypothesis (RH)               
B. The 3D-Navier-Stokes equations (NSE)    navier-stokes-equations.com
C. The Yang-Mills equations (YME)             
D. Plasma dynamics
E. Geometrodynamics

building on a common Hilbert scale framework.

The story line of this page is structured as follows:  

1. A Kummer function based alternative Zeta function theory to solved the Riemann Hypothesis and the binary Goldbach conjecture

2. The H(-1/2) decomposition for a quantum space-time model

       a.    The Berry-Keating conjecture and the H(-1/2) quantum state space

       b.    The H(-1/2) Hilbert space and a new ground state energy model

       c.    The H(-1/2) space and corresponding 3D non-linear, non-stationary
              NSE, non-linear (plasma) Landau damping phenomenon and
              space-time state/energy models 

             -time state/energy model

       d.    The H(-1/2) Hilbert space replacing the Dirac distributions space

              and a corresponding Coulomb potential

       e. The new ground state energy model and its related background

             radiation (energy) term in the Einstein gravitation tensor

3. NSE, YME and plasma/geometrodynamics problem/solution areas

       a.    The related NSE problem/solution area (Serrin gap problem)

       b.    The related YME problem/solution area (mass gap problem)

       c.    The related (plasma) Landau damping and space-time stage

             background dependency problem/solution areas

4. References

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Braun K., RH, YME, NSE, GUT, OVERVIEW page

 

                           latest updates July 15, 2019, pp. 44, 51