Preface
An Unified Field Theory
A well-posed 3D-NSE
Yang-Mills & mass gap  ...
The Courant Conjecture ..
A proof of the RH
Irrational Euler Constant
Literature
Who I am



The proposed Unified Field Theory (UFT) provides an all-encompassing theory, where physical models of different physical areas are no longer decoupled and differently scaled according to their different levels of granularity. It is governed by two types of energy, the today’s mechanical energy (i.e., kinetic and potential energy) and a newly proposed dynamic energy, which is in line with Planck's dynamic type of physical law, (PlM).   

The core mathematical concept of the proposed UFT is a Krein space intrinsic self-adjoint "potential" operator accompanied by a correspondingly defined "dynamic energy" inner product enabling the definition of different quantum particles (quanta). The crucial differentiator between Krein and Hilbert spaces is an indefinite metric, (i.e. the difference of norms). An indefinite metric in a Hilbert space  is one of the unconventional features of Heisenberg's "Introduction to the Unified Field Theory of Elementary Particles", (HeW). The conceptual design of the proposed quanta scheme is the "principle of Nature" that any "action" always requires a potential difference or a "pressure", i.e., there is no physical action, just because there is energy or a potential.   

The Krein space based mathematical a priori 2-component dynamic „ground state energy“ baseline system enables the definition of a 2-component dynamic „perfect plasma“ (Einstein-Lorentz luminiferous ether, (EiA5)) quanta system and a related 2-component mechanical „electromagnetic“ quanta (Maxwell-Mie type) system (avoiding the concept of a „displacement current“). Both systems are governed by the complex Lorentz group associated with SU(2) x SU(2), the hidden symmetry of the Coulomb problem.   

The 2-component dynamic „perfect plasma“  Maxwell-Mie system provides the theoretical foundation to model the plasma matter in the universe and consistent explanations of the Landau damping, the CMBR, and the photophoresis phenomena. It avoids the concepts of Einstein manifolds, dark matter, and dark energy. It may enable a missing theory of light anticipating „Einstein’s lost key“ and Dicke’s related "theory of a variable speed of light".   

The transitions from the 2-component quanta systems to the 1-component Dirac 2.0 quanta systems are accompanied by a „symmetry break down“ from SU(2) x SU(2) to SU(2), the symmetry group of the Klein-Gordon equations.   

The transition from the 1-component Krein space based Dirac 2.0 energy systems to the 1-component H(1/2) Hilbert space (energy) system is accompanied by a change from an implicate self-adjoint dynamic potential operator & indefinite norms to an explicate self-adjoint mechanical (Laplace) potential operator with domain H(1) & definite norm (accompanied by the thermo-statistical Hilbert space H(0)=L(2)). This H(1/2) system enables an alternative Schrödinger momentum operator (enabled by the Riesz operator) and the concept of a dynamic fluid element (accompanied by a well-defined Prandtl operator and the concept of wavelets) solving the 3D-NSE millennium problem.
  
The proposed deductive structured quanta energy field systems imply a revisit of current „Nature constants“. In the new structure they need to describe the „borderlines“ between the non-mechanical and the mechanical theoretical systems in connection with the considered phenomena. In case of the „perfect plasma“ Maxwell-Mie (Einstein-Lorentz ether) model and the related mechanical "electromagnetic" Maxwell-Mie model this concerns the „plasma“ Landau damping phenomenon, the CMBR phenomenon of the „Lorentz ether“, and Ehrenhaft‘s photophoresis phenomenon interpreted by himself as interacting electric and magnetic ions. Regarding the borderlines between the „perfect plasma“ Maxwell-Mie (Einstein-Lorentz ether) model and the three 1-component Dirac 2.0 quanta systems they may be evaluated in connection with Robitaille’s „blackbody radiation and the loss of universality: implications for Planck’s formulation and Boltzman’s constant“, (RoP3).




Braun K., The deductive structure of the UFT, creative vacuum and plasma, and related opportunities.pdf



                                         April 2025 update: pp. 3-4




Braun, K., An unified field theory enabling a deductive structure of physics.pdf
 

                                             December 2022




                                              Supporting data


Braun, K., A Krein space based quanta energy field model, supporting mathematics


Braun, K., Current physical and mathematical realities regarding an unified field theory
                                              

                               

Braun K., UFT related list of papers