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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. This new concept ensures independent
related „invariances/energy norms“ resp. corresponding „symmetries“. It
therefore avoids the only „hidden symmetry“ of the Coulomb problem, e.g. (RoH)
p. 163, and makes the sub-atomic ("forece case" specificly defined) concept of fermions and bosons (accompanied by a Yang-Mills
mass gap problem and the Higgs field based „symmetry break down“ mechanism)
obsolete. However, the Higgs field concept of „a slowing down mechanism“ of
objects in an appropriately defined field may be applied to what Lorentz
envisoned for his „transformation
equations as effects on moving (mass) objects caused by their motion through a (dynamic) ether“, (SuL) p. 61.
The Yang-Mills theory is supposed to explain, why
the proclaimed „strong interaction nuclear atomic force“ acts only over tiny short distances
caused by massless (boson type) gluons (the concept of binding of gluons). The
Higgs mechanism is about the generation mechanisms of physical „matter“
particle (i.e., particles with „masses“) It is basically about an invisible,
„universal“ Higgs field, where interacting sub-atomic particles with masses with
that field are slowed down and therefore conserve their masses.
Mathematically spoken, the Coulomb and
the Newton potential are the same object. It is the fundamental solution of the
Poisson equation with given so-called Dirac (or Delta) distribution „function“ multiplied
by related electrostatic resp. gravitational „Nature constants“. This ensures
continuous corresponding field solutions by given continuous charge resp. mass
densities. Therefore, the regularity of the Delta distribution must depend from
the space dimension; at the same time the distributional Hilbert space H(-1/2),
i.e., the dual space of H(1/2) with respect to the L(2) Hilbert space, is a
closed sub-space of all of those „Dirac“ distributional Hilbert spaces.
Physically spoken, the H(-1/2) distributions may replace the concept of the Dirac
distribution and the fundamental solution of the considered phenomenon (including
Vlasov’s plasma dynamics) replaces the Coulomb resp. the Newton potentials.
The
integration of the gravitational dynamics is enabled by a purely H(1) mechanical
energy based SRT accompanied by complementary H(1,ortho) dynamical energy based disturbances
resulting into a „global nonlinear stability of the Minkowski space“,
(DeC), (KlS). Additonally, the Mach principle based on „the fact that inertial
systems are aproximately valid, with great approximation, rotation-free with
respect to „fixed star systems“, (DeH), is enhanced to a Mach2.0
principle, (UnA1) p. 156, which is basically the Mach principle plus Dirac’s „new
basis for cosmology“ accompanied by his large number hypothesis, (DiP2),
(UnA1).
 Braun K., The deductive structure of the UFT, creative vacuum and perfect plasma, and related opportunities.pdf |
June, 2025 Feb. 2026 update, pp. 3-6, 12
Braun, K., An unified field theory enabling a deductive structure of physics.pdf |
Feb. 2026 update, pp. 1, 7, 35, 86-88
According to Kant's „Theory of Natural Science“ in order to establish a metaphysical 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 a priori quanta system scheme may be interpreted as such a mathematical metaphysical foundation. We emphasize that across basically all physical theories purely mathematical concepts like continuous/differentiable functions, distributional functions, continuous fields, differential manifolds, singularities, geometrodynamics, and all that are accepted baseline concepts, which are finally based on mathematical a priori axioms.
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 |
