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" thatany
"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 2-component
dynamic „perfect plasma“ Maxwell-Mie system
provides the theoretical foundation to model the plasma matter in the universe and consistent
explanations of the Landau damping, the CMBR, and the photophoresis phenomena. It
avoids the concepts of Einstein manifolds, dark matter, and dark energy. It may
enable a missing theory of light anticipating „Einstein’s lost key“ and Dicke’s
related "theory of a variable speed of light".
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 millennium 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).