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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. It is governed by two types
of energy, the today’s mechanical energy (i.e., kinetic and
potential energy) and a newly proposed dynamic energy, which is in
line with Planck's dynamic type of physical law, (PlM).
The
core mathematical concept of the proposed UFT is a Krein space intrinsic
self-adjoint "potential" operator accompanied by a correspondingly
defined "dynamic energy" inner product enabling the definition of
different quantum particles (quanta). The crucial differentiator between Krein
and Hilbert spaces is an indefinite metric, (i.e. the difference of norms). An
indefinite metric in a Hilbert space is one of the unconventional
features of Heisenberg's "Introduction to the Unified Field Theory of
Elementary Particles", (HeW). The conceptual design of the proposed quanta scheme is the "principle of Nature" that any
"action" always requires a potential difference or a "pressure", i.e., there is no
physical action, just because there is energy or a potential.
The Krein
space based mathematical a priori 2-component dynamic „ground state energy“ baseline
system enables the definition of a 2-component dynamic „perfect plasma“ (Einstein-Lorentz luminiferous ether, (EiA5)) quanta
system and a related 2-component mechanical „electromagnetic“ quanta (Maxwell-Mie
type) system (avoiding the concept of a „displacement current“). Both systems are
governed by the complex Lorentz group associated with SU(2) x SU(2), the hidden
symmetry of the Coulomb problem. The math. proof of the CPT invariance phenomenon, the
only fundamental law of nature requiring a „time arrow“, is enabled by the
complex Lorentz transform (StR). In other words, as long as there are no decay
processes of atomic nuclei in scope the laws of Nature allow a "reverse of time".
The proposed Maxwell-Mie type systems accompanied by the complex Lorentz group are supposed to replace the Yang-Mills (gauge) theories (a generalization of the Maxwell equations phrased in the language of a U(1) gauge theory), which solves the related "Yang-Mills mass gap problem".
The 2-component
dynamic „perfect plasma“ Maxwell-Mie system
provides the theoretical foundation to model the plasma matter in the universe enabling consistent
explanations of the Landau damping, the CMBR, and the photophoresis phenomena. It
avoids the concepts of dark matter, dark energy, and Einstein manifolds. It may
also enable a missing theory of light anticipating „Einstein’s lost key“ and Dicke’s
related "theory of a variable speed of light" accompanied by a mechanical global nonlinear stability of the Minkowski space, (ChD).
The famous constant in Einstein's field
equations in an empty Einstein manifold framework (to achieve a static
universe) describes the "pressure of the empty space". It was shown
that the Einstein constant is inappropriate for that purpose, as static
solutions of those field equations are not stable
to disturbances in that sense that they generate again expanding universes. The today's "notion" of this kind of "pressure of the empty space" is called "dark energy". "Dark energy" corresponds to
the energy of about seven protons per cubic meter, (GaR).
The "Mie
pressure" between the proposed "dynamic vacuum" quanta pairs provides an
alternative to the "dark energy" concept, whereby the several "Mie
pressures" between the "ground state" quanta pairs, the "perfect plasma"
quanta pairs, and the "electromagnetic" quanta pairs are in line with
the Landau damping, the CMBR, and Ehrenhaft's photophoresis phenomena.
The
transitions from the 2-component quanta systems to the 1-component Dirac 2.0 quanta systems are
accompanied by a „symmetry break down“ from SU(2) x SU(2) to SU(2), the symmetry
group of the Klein-Gordon equations.
The
transition from the 1-component Krein space based Dirac 2.0 energy
systems to the 1-component H(1/2) Hilbert space (energy) system is
accompanied by a change from an implicate self-adjoint dynamic potential
operator & indefinite norms to an explicate self-adjoint mechanical
(Laplace) potential operator with domain H(1) & definite norm (accompanied by the thermo-statistical Hilbert space H(0)=L(2)). This H(1/2) system
enables an alternative Schrödinger momentum operator (enabled by the Riesz
operator) and the concept of a dynamic fluid element (accompanied by a well-defined
Prandtl operator and the concept of wavelets) solving the "3D-NSE well-posedness" problem.
The proposed
deductive structured quanta energy field systems imply a revisit of current „Nature
constants“. In the new structure they need to describe the „borderlines“
between the non-mechanical and the mechanical theoretical systems in connection with the considered phenomena. In case of the „perfect plasma“ Maxwell-Mie (Einstein-Lorentz
ether) model and the related mechanical "electromagnetic" Maxwell-Mie model this
concerns the „plasma“ Landau damping phenomenon, the CMBR phenomenon of the „Lorentz ether“, and Ehrenhaft‘s
photophoresis phenomenon interpreted by himself as interacting electric and magnetic ions. Regarding the borderlines between the „perfect
plasma“ Maxwell-Mie (Einstein-Lorentz
ether) model and the three 1-component Dirac 2.0 quanta systems they may be evaluated in connection with Robitaille’s „blackbody radiation and the loss of universality:
implications for Planck’s formulation and Boltzman’s constant“, (RoP3).
 Braun K., The deductive structure of the UFT, creative vacuum and perfect plasma, and related opportunities.pdf |
April 2025 update: pp. 3-4, 11, 16
Braun, K., An unified field theory enabling a deductive structure of physics.pdf |
December 2022
Supporting data
Braun, K., A Krein space based quanta energy field model, supporting mathematics |
Braun, K., Current physical and mathematical realities regarding an unified field theory |
Braun K., UFT related list of papers |
