overview
quantum gravity modelling
2016-2017 papers
2011-2015 papers
2011-2015 homepage texts
who I am
literature


Disclaimer: this homepage is no longer maintained; nevertheless, it contains or refers to all relevant papers, which were developped during the last 7 years addressing the three Millennium problems: RH, NSE,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., Three Millennium problems, RH, NSE, YME, OVERVIEW


for the latest version we refer to    http://www.fuchs-braun.com/

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