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, (BrK0) pp. 10-13. It includes the scope of the standard model (i.e., the three theories with similar characteristics, strong interactions, weak interactions, and electro-magnetic), the apparent asymmetry between matter and anti-matter, the Higgs mechanism, SRT & GRT, and plasma dynamics.

The mathematical Krein space based formalism of the UFT addresses Heisenberg's two unconventional features (indefinite metric in Hilbert space and the degeneracy of the ground state, (HeW) vi) enabling meta-physical (purely mathematical) "ground state" and "perfect plasma" energy quanta systems governed by a newly proposed dynamic energy type. From a philosophical perspective, this kind of a `metaphysical construction' of a deductive structure of theoretical physics is completely in line with Kant's „Metaphysical Foundations of Natural Science“; (PlP): "the metaphysical determinations of `matter' as the object of natural science with the new method called `metaphysical construction', which simultaneously grounds the mathematizability of physics“, (BrK) p. 36. 
 
The indefinite Krein space norm defines the invariant (dynamic energy) quantity of each quantum type (quanta) system. Physically spoken, it defines the difference of the „dynamic potential energies“ of the intrinsic quantum system and its related anti-quantum system, (BrK0) p. 32. „The subject of an indefinite inner product space first appeared in the papers of Dirac (DiP) and Pauli (PaW)“, (BoJ) Preface.

The J-self-adjoint (dynamic potential) operator on all of the Krein space enables the definition of a corresponding definite „dynamic potential energy“ norm of the overall quanta system itself. Mathematically spoken, the underlying sequence of quantum numbers of this operator is calculated from the difference of the sequences of quanta numbers of the affected intrinsic two quantum and anti-quantum systems, (BrK) p. 13.

The symmetry group of invariant mechanical energy quantities and their related invariant dynamic energy quantities of each 1-component quanta system becomes one of the normal subgroups of SO(4), which is isomorphic to the group S(3), (BrK0) p. 31, (EbH) p. 217. The latter group is isomorphic to SU(2), which is the hidden symmetry group of the Coulomb problem and which is important in describing the transformation properties of spinors. Correspondingly, the symmetry group of the 2-component „ground state“, „perfect plasma“, and „perfect electromagnetism“ quanta systems becomes the complex Lorentz group, (BrK0) p. 31.


Note: The four components of the Lorentz group need to be connected to one another by an appropriately defined continuous curve of Lorentz transformations. In contrast to the real Lorentz group the complex Lorentz transform has only two components, which are already connected by definition, (StR) pp. 11/13.

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

                                                     
                                                 June, 2025                                                                                  year end updates 2025: (BrK) pp. 3-8

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

 

                                                   (BrK0)                                                                                                  December 2022

                               

Braun K., UFT related list of papers

 

                                  beforehand UFT related papers