An Unified Field Theory
UFT & MHD
UFT & HD
Riemann Hypothesis
Euler constant
History
Literature
Who I am


  About 95% of the universe is about the phenomenon „vacuum“. The same proportion applies to the emptyness between a proton and an electron. The remaining 5% of universe’s vacuum consists roughly of 5% matter, of 25% dark matter, and of 70% dark energy. Nearly all (about 99%) of the 5% matter in the universe is in "plasma state". The presumed existence of „dark matter“ provides the baseline for a physical model of the galaxies‘ spiral shapes phenomenon. The presumed existence of „dark energy“ provides the baseline for a physical model of the cosmic microwave background phenomenon (CMP).

The dominance of the vacuum (in the macro case, as well as in the micro case) in opposite to the small amount of matter is addressed by an appropriate Hilbert space based definition of an „ether/ground state energy“ space, which is „orthogonal“ to a „kinematical energy“ space.

The phenomenon of spiral shapes is governed by a balance law of angular momentum. The phenomenon of the cosmic microwave background phenomenon is governed by a balance law of linear momentum.

The tool box of the proposed unified plasma, quantum und gravity field theory consists of:

- orthogonal decompositions of Hilbert scales
- potential operators defined by indefinite inner products
- variational (approximation) methods in Hilbert scales
- the complex Lorentz group and its two connected components
- classical & quantum tensor theory
- quantum (two-component) spinor theory
- two-component Magnetohydrodynamics.

 The Hilbert scale decompositions model appropriately defined quantum element and quantum energy Hilbert spaces, including the concept of ground state energy. More specifically, there is an energy Hilbert space H(1/2), which is decomposed into a kinematical sub-Hilbert space H(1) and an orthogonal closed "ground state" energy sub-space H(1,ortho). The closed sub-space H(1,ortho) is not a Hilbert space. The kinematical Hilbert space H(1) is governed by a countable orthogonal Riesz basis enabled by the eigen-pairs of a (kinematical) selfadjoint, positive definite operator with domain H(1). Geometrically speaking, the kinematical Hilbert space H(1) can be interpreted as a coarse-grained embedded Hilbert sub-spaces of H(1/2).

The related closed (ground state energy) sub-space H(1,ortho)is governed by a continuous spectrum. In other words, the proposed new „conceptual elements“ match to the "unconventional features of the mathematical formalism" in (HeW).

In CPT (Charge-Parity-Time) the PT transformations are geometric transformations, while the C transformation is not. The CPT theorem becomes a purely geometric PT theorem if one restricts to classical tensor theory, quantum tensor theory and quantum spinor theory. The fact that there is a purely geometric PT theorem for quantum field theories suggests that space-time has neither a temporal orientation nor a spatial handedness, (ArF).



Braun K., A Hilbert scale and MHD based unified plasma, quantum und gravity field theory
 

                                            February 4, 2022


            

Braun K., consolidated homepages, Plasma Physics, Dec 2021
  

                                            December 31, 2021


Supporting papers


     

Braun K., The boundary layer A-B, the 3D-unit-sphere and space-time


    

Braun K., A distributional Hilbert space framework to prove the Landau damping phenomenon
                                    
                                                August 2018                                                

             

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


                                              September 2018


Supporting data:

   

Braun K., Some remarkable Pseudo-Differential Operators of order -1, 0, 1

                                                 January 2015

        

Braun K.,The Prandtl (hyper singular integral) operator with double layer potential

                                                  April 2016


Braun K. Generalized wavelet theory and non-linear, non-periodic boundary value Problems

                                                  May 2016

    

Braun K., Unusual Hilbert or Hoelder space frames for the elementary particles transport (Vlasov) equation

                                                Februar 2018


further supporting data

                     

Anderson J., Ludwig Prandtl s Boundary Layer


               

Arntzenius F., The CPT Theorem, ex Philosophy of Time
                         
             

Cap F. Lehrbuch der Plasmaphysik und MHD, Paragraph 1
  

            

Calin O. et. all, SubRiemannian Geometry on the Sphere(3)
                               
        

EHRENHAFT F., 10 Vorlesungen zur Photophorese, SS 1947, Wien


      

Ehrenhaft F., Banet L, Magnetization of Matter by Light, Nature, 1941
 

Ehrenhaft F., Photophorese and its interpretation by electric and magnetic ions


                   

Ehrenhaft F., The Magnetic Current, Nature, 1944


Ehrenhaft F., The decomposition of Water by so-called Permanent Magnet and ....
               
           

Hamel G., Spiralfoermige Bewegungen zaeher Fluessigkeiten
 

                 

Longitudinal plasma oscillations and Landau damping


Santos G. M., A debate on magnetic current, the troubled Einstein-Ehrenhaft correspondence

                         

Schroedinger E., Mind and Matter, chapter I


                         

(StR) (1-3) The Lorentz and Poincare groups


                                   

Voight J., Quaternion Algebras


                           

Wavelets, a mathematical microscope tool