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.
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“.