RH, NSE, GUT papers (history)
quantum gravity modelling
2011-2017 papers
2011-2015 homepage texts
who I am

Disclaimer: this homepage is no longer maintained; nevertheless, it contains or refers to all relevant papers, which were developped during the last 7 years addressing the three Millennium problems: RH, NSE, YME. This journey ended up into a combined proposed mathematical solution framework: there is common Hilbert space based solution platform, avoiding e.g. gauge principles (quantum field theory), co-variant derivatives resp. differentiable manifolds (gravitation field theory) concepts and force type dependent quantum/quark types.


Braun K., RH, YME, NSE, GUT, OVERVIEW page, Dec 2018


Braun K., RH, YME, NSE, GUT, OVERVIEW page, Jan 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, Feb 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, March 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, April 30, 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, May 31, 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, June 30, 2019


Braun K., RH, YME, NSE, GUT, OVERVIEW page, Juli 31, 2019


Braun K., RH, YME, NSE, GUT solutions, overview, August 31, 2019


                                            for the latest version we refer to

An application of the proposed distributional Hilbert space framework is provided in the context of the non-linear Landau damping phenomenon in plasma physics, where the standard mathematical models are built on; more especially, this is about the Landau, Vlasov, Poisson, Lorentz, Boltzmann PDE systems, which are purely classical PDE systems and the corresponding existing proofs of the Landau damping phenomenon for the linear and the nonlinear cases, are applying classical techniques. In other words, an observed physical quantum mechanics/dynamics phenomenon is proven based on classical mathematical models and related proof techniques.

In section 1 of the following paper a high level overview regarding the newly proposed quantum ("particles": bosons & fermions) state and quantum energy model is provided. It is basically about a common distributional Hilbert space based model for quantum state & quantum mass/energy PDE systems. It enable a "fermions quantum state" Hilbert space H(0), which is dense in H(-1/2) with respect to the H(-1/2) norm, and its related (orthogonal) "bosons quantum state" Hilbert space H(-1/2)-H(0), which is a closed subspace of H(-1/2).

Braun K., A distributional Hilbert space framework to prove the Landau damping phenomenon


Braun K., An integrated electro-magnetic plasma field model

In the following some related papers, which are also provided in navier-stokes-equations.com

July 2013, Some remarkable Pseudo-Differential Operators of order -1, 0, 1


August 2013, A new ground state energy model

Braun K., An alternative quantization of H=xp

Hardy Spaces, Hyperfunctions, Pseudo-Differential Operators and Wavelets

Some further paper are provided in section "quantum gravity modelling".

In the following some related papers in the context of a quantum gravity modelling are provided

 Dirac P., The Quantum Theory of the Emission and Absorption of Radiation

Einstein A., Podolsky B., Rosen N., Can Quantum-Mechanical Description of Physical Reality Be Considered Complete

Einstein A., Ueber einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt

Einstein A., The Foundation of the General Theory of Relativity

Fermi E., Quantum Theory of Radiation, Rev. Modern Phys. 4, 87 (1932)

Hawking S. W., Particle Creation by Black Holes

Higgs P. W., Spontaneous Symmetry Breakdown without Massless Bosons

Scholz E., Weyl geometry in late 20th century physics