Unified Field Theory
3D-NSE problem solved
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In a nutshell

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 complementary dynamic and statistical types of physical laws, where the least action principle applies only for mechanical laws.

The overall Hamiltonian (total energy) operator of the appropriately defined (mechanical & dynamical energy) Hilbert space systems becomes the sum of two Hamiltionian operators, the mechanical self-adjoint (Hamiltonian) operator and a (new) dynamic self-adjoint (Hamiltonian) operator. It enables complementary „matter“ mechanics and „matter“ dynamics accompanied by corresponding finite norms/functionals resp. related invariances. This concept makes the spin(0, 1/2, 1) concept in quantum mechanics and the related concept of Abelian- and Non-Abelian gauge theories in quantum field theories obsolete.

From a product placement perspective a marketing manager would put the spot on the concept of fusion energy in the context of the integrated a priori purely dynamics perfect plasma/electromagnetic systems and the newly proposed mechanical x dynamic atomic Dirac 2.0 systems. The latter ones may be suitable providing three atomic nucleus building blocks for semi-conductor, conductor, and isolator atoms.


The Gordian knot

Current physical theories are scale dependent and decoupled

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                                     
                                    March 2026 updates, pp. 11-12

   

Braun K., The deductive structure of the UFT, creative vacuum and perfect plasma, and related opportunities.pdf
                                                                     
                                                 June, 2025                                                                                                                          


A philosophical consideration

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
 
                                                                                
          
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