Unified Field Theory
3D-NSE problem solved
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The proposed Unified Field Theory (UFT) is a comprehensive theoretical framework that aims to unify physical models across diverse physical domains, thereby eliminating the decoupling and disparate scaling that characterizes current models based on their respective levels of granularity. There is a newly proposed (non-mechanical) dynamic energy type; it complements the current mechanical energy type in such a way that it supports Planck’s conception of  „dynamical type of laws“, (PlM), in alignment with Bohm’s conception of „wholeness and implicate and explicate order in physical laws“, (BoD1). It enables dynamic and statistical types of physical laws, where the least action principle applies to mechanical processes.

The mathematical modelling framework to define the new dynamic energy type is predicated on the Hilbert-Krein space theory and the concept of a Krein space intrinsic self-adjoint (dynamic Hamiltonian) potential operator. Accordingly, the overall Hamiltonian (total energy) operator becomes the sum of two Hamiltionian operators, the self-adjoint (mechanical Hamiltonian) operator and a (new) self-adjoint (dynamic Hamiltonian) operator. Accordingly, the overall Hilbert (energy) space becomes the sum of two complementary Hilbert (energy) spaces accompanied by independent related „invariances/energy norms“ resp. corresponding „symmetries“.

On the classical scale the UFT avoids the concept of phenomenon specifc „force“ types modelled by Coulomb/Newton potentials accompanied by the concept of „point“ charges modelled by the Dirac/Delta distributional „function“. It turned out that the corresponding „energy norm“ estimate of the nonlinear, nonstationary Navier-Stokes system becomes bounded in space dimension N=3. Hereby the linear part of the system is governed by the mechanical energy, while the nonlinear part of the system is governed by the „dynamic“ energy. This solves the related 3D NSE problem.

On the large scale in a similar way the laws of gravitational dynamics are modelled by a mechanical energy based Special Relativity Theory (SRT) accompanied by complementary dynamical energy based nonlinear disturbances. This is in line with Mach’s concept of relativity that the laws of nature must depend on the relative (mechanical) masses only and that the „laws of nature are independent of accelerated motion“, (UnA1) p. 68. It is also in line with the „global nonlinear stability of the Minkowski space“, (DeC), (KlS). It further may also support Dirac’s „new basis for cosmology“ accompanied by his large number hypothesis, (DiP2), (UnA1).

On the small scale the UFT avoids the concept of (force-) phenomenon specific decoupled fermion and boson groups. As a consequence the Yang-Mills theory and a Higgs field based concept of a „(mechanical) matter creation“ mechanism by „symmetry break down“ become obsolete.
                                                       

Braun, K., An unified field theory enabling a deductive structure of physics.pdf
       
                                               December 2022
                                     Feb. 18, 2026 update, p. 12

   

Braun K., The deductive structure of the UFT, creative vacuum and perfect plasma, and related opportunities.pdf
            
                                                  June, 2025                                                                                      Feb. 17, 2026 update, pp. 3-4                             


According to Kant's „Theory of Natural Science“ in order to establish a meta-physical foundations of physics it requires an a priori conception of matter, i.e., its „form“, its necessary and universal determinations and laws that govern (predictively describe) its behavior, (PlP) p. 29. "The merely empirical concept of motion "reality" is conceived as objective thinghood (Sachheit). Here one speaks of „motion as an accient (Akzidens) of matter“, thus not a mere act (Actus) of the productive imagination, i.e., motion as description, the describing of a space (moreover, where time, specifically as quantity, is not taken into consideration at all)", (PlP) p. 297.

The a priori quanta system scheme may be interpreted as a mathematical metaphysical foundation in the sense of Kant's „Theory of Natural Science“.


Braun K., Extracts from the book „Kant’s Theory of Natural Science“ from Peter Plaass.pdf
 
                                                                                
                                        Further supporting data


Braun K., Concepts of the current phenomenological and conceptual structure of physics.pdf
  

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

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

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

                          

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


                                    further UFT related papers

                               

Braun K., UFT related list of papers