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Protosimplex
Results of Heims quantum field theory
The following text has been translated with help
of a translation machine. Improvements are welcome!
mailto: op@engon.de
The German physicist Burkhard Heim compiled a uniform field theory of matter
since 1949, which goes beyond a mathematical
description of the material world. His concepts opens bridges to an understanding
of life, psyche and spirit as interacting elements of the material world.
The philosophy of Heim's quantum field theory
is actually the representation of the laws of the material world by
the physical characteristics of space.
Among other things it can describe and calculate elementary particles
of matter by geometrical processes, which are resulting from the characteristics
of space.
The substantial features presented in
Volume 1
and
Volume 2 of "Elementary structures
of matter" are:

Existence of a sixdimensional space (R_{6}).
Physically accessible fourdimensional spacetime (R_{4})
is embedded in R_{6}
Distinction of three real (height, width, depth) and
three imaginary coordinates (time, entelechy, aeon).
Therefore the usual spacetime model, the fourdimensional view
of the world is thus extended by two dimensions: x_{5}
(entelechy) is permanently analysing updating of rganization statuses
in x_{4} (time), and dimension x_{6} (aeon)
is controling the direction of this ambiguous updating process in x_{4}.
According to this one had to distinguish between manifest and latent
events. The directions of the imaginary transcoordinates
x_{5} and x_{6} are reversible.

Quantization of multidimensional space due to the existance of a
final geometrical quantum (area), which corresponds in order
of magnitude to the square of the Planck's length. There cannot exist structures that are smaller than this area.

New cosmology and Hermitian geometry resulting from this.
The Fundamental tensor existing in R_{6} is constructed of
nonHermitian fundamental tensors describing the multiple geometry.

Geometrical description of elementary particles, physical
interpretation of geometrical terms. Within the mikromar area
the energy impulse tensor can be set proportionally to geometrical
symbols similar to Christoffel symbols.
Analogies to Einstein equations form a principle of equivalence
but not proportionality. In micromar area they are transferred into
geometrical eigenvalue equations.

In the entire theory only ℏ, γ, ε_{0}, μ_{0}
are used as empirical natural constants.

Structures of elementary particles are strongly structured,
hierarchically arranged geometrical objects which modify their
structure cyclically in sense of internal dynamics.

Derivation of strictly valid symmetry laws of elementary particle
and determination of their proper masses.

Existence of a 'world equation'. An approximation supplies
Einstein's field equations of ART. Another approximation supplies Dirac's
equations of quantum electrodynamics however.
In
Volume 3 Heim and Dröscher
succeed to understand coupling constants and their (geometrically
representable) interaction fields from closed mathematical formalisms.
Thereby the following extensions of the Heim theory are derived:

Extension of R_{6} to a coordinate space R_{12}
with 12 dimensions, which permits to calculate all wellknown
and also still unknown interaction fields (Dröscher's dimension law).
In each point of R_{8} a tangential space with Euclidean
coordinates can be established so that a functional dependency concludes.
Expressions can be formed representing not only wellknown interaction
fields but also fields still unknown.
Transcoordinates are transformed into R_{4 }by
R_{12} = R_{3}(x_{1}...x_{3})∪T_{1}(x_{4})∪S_{2}(x_{5}, x_{6})∪I_{2}(x_{7}, x_{8})∪G_{4}(x_{9}...x_{12})

Representation of the quantummechanical probability amplitudes
as result of a transformation processes from G_{4} into the
material world:
Based on twelvedimensional R_{12} the coordinates of the
G_{4} can not be transferred in R_{4} directly.
But by means of a mediator space they are transformed into an
R_{4}a_{ } (x_{1}* ... x_{4}*).
The function of representation is only determined during this projecting
process by a suitable parameter selection. This transformation supplies
in R_{4} the probability amplitudes known from quantum theory.
Therefore it corresponds to the wave nature of quantum dualism.

Different characteristics of interaction fields are caused
by curved coordinates at least of one specific subspace of R_{12}.
Possible dimension numbers are not only subspaces of R_{12} but
as well further dimension numbers can be relevant ranging over
R_{12}.
A quantity algorithm is found which determines these dimension numbers.

Origin of matter (cosmogony of an elementary universe about
4*10^{17}s ago): At that time shrinking of only one length
element had taken place to Planck's elementary length because a mass
in the order of magnitude of the Planck' mass developed and the length
element was reduced due to the curvature of space and time coordinates.
This length element disintegrated in further consequence and divided
itself to a multiplicity of elements which led to the generation of mass
from a strongly curved spacetime area. This process persisted for a long
time until it produced masses with 1/3 nucleon mass. Some of these
elementary masses continued to disintegrate finally still to electron and
positron masses and then dematerialized to photons. The particles
generated finally to nucleon masses, so that together with still remaining
electrons formation of hydrogen became possible. This scenario is able to
calculate the mass of observable universe quite as well as the diameters
of "space bubbles" and galaxies.

Calculation of physical coupling constants: The dimension number
set D = { (36), (12, 28, 24), (4, 64) }has a substantial meaning for
calculation of coupling constants in the moments of developing or
disappearing of quantums of interaction. By applicating possible
operations (+.), (.+), (++), (..) on this dimension number set the
coupling constants of the electromagnetic, weak, strong and gravitative
interaction could be produced.

Socalled constants of transformation complete the quantity of the
known coupling constants. They occur only together with the latters. These
constants of transformation cause not only transfer of massless into
ponderable interaction quanta but possibly also the transformation of
photons of quite special density and energy into vector gravitons as well
as the production of interaction quanta with an extremely small and
empirically unknown coupling constant from vector and tensor gravitons.
Coupling constants of electromagnetic, weak and strong interaction are
thus energydependent sliding type.
 Additional is shown that a dependency of coupling constants on
specific energy values exists which were determining partly the historic
development of the universe.

Finally times of exististence of elementary particles are developed.
This is pointing to a real physical existence of hyperspaces and their subspaces which are used within the Heim Theory.
top of the page
Source: Droescher / Heim "Strukturen der
physikalischen Welt und ihrer nichtmateriellen Seite"
(preface, summary, OP)
© Olaf Posdzech, 1998