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The three layers world model

1. The (most granular) phenomenological world

In the context of his concept of an "inner time consciousness" Husserl differentiates between

(1) an "objective time of appearing objects"
(2) "asubjective or pre-empirical time of acts"
(3) "experiences and a pre-phenominalabsolute flow of the internal time consciousness".

2. The mathematical-physical world


In the physical world the concept "time" is an "objective time of appearing objects". 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).

3. The (most finest) mathematical world

The proposed Hilbert scale & MHD based unified field model is built on variational PDE in appropriate Krein spaces. The overall mathematical solutions are governed by conservation laws in an "extended" H(1/2) energy Hilbert space. The related physical PDE solution are approximated by variational PDE governed by its underlying "coarse grained" (i.e. compactly embedded) standard kinematical energy sub-Hilbert space H(1) of H(1/2).

The Krein space is based on orthogonal decompositions of Hilbert space, enabling the definition of a potential operator governing the "borderlines" between those sub-spaces. In the proposed model there are two potential operator types in line with corresponding type I and type II Hilbert space decompositions:

type 1: one kinematical energy Hilbert space is compactly embedded into an overall Hilbert space (including a ground state energy concept); this is the proposed framework for a 1-fermion (proton) & a 2-boson types model accompanied by orthogonal discrete and continuous eigen-functions resp. eigen-differential spectra

type 2: a kinematical energy Hilbert space is decomposed into two sub-spaces with identical numbers of basis functions; this is the proposed framework for a 2-plasma-fermions (+/- electrons) & a 1-boson type model accompanied by orthogonal discrete and continuous eigen-functions resp. eigen-differential spectra.


              

Braun, K., A mathematical tool box for an unified field model


                                                 August 25, 2020



Braun K., A geometric Hilbert space based integrated quantum and gravity field model


                                                 Dec 2, 2020


homepage text: August 15, 2022

              

homepage text, A HS and MHD based UFT, August 15, 2022
 


            

Braun, K., Quaternionic Hilbert scales with indefinite metrics


                                           August 15, 2022


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


                                              Feb 4, 2022

           

Braun K., consolidated homepage, YME vs. Mie theory, Jan 2022


                                              Jan 9, 2022


Braun K., A geometric Hilbert scale based integrated gravity and quantum field model, Dec 2021 overview


                                             Dec 19, 2021

   

Braun K., A geometric Hilbert scale based Mie electricity field theory accompanied by a complementary 0-point energy space, Sept 2021

                                               Sep. 15, 2021


Braun K., A geometric Hilbert scale based gravity and quantum field model, the modelling landscape


                                             May 22, 2021


Braun K., A geometric gravity and quantum field model, some royal road markers, April 2021


                                             April 14, 2021


                          

Braun K., Looking back, part C, (C1)-(C8)


                                           January 11, 2021

                         

Braun K., Looking back, part B, (B1)-(B17)


                                          December 2, 2020

                            

Braun K., 3D-NSE, YME, GUT solutions


                                              July 31, 2019


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


                                             August 2018

           

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


                                               Sept 2018

  

Braun K., Global existence and uniqueness of 3D Navier-Stokes equations


                                                June 2016

                                    navier-stokes-equations.com