[Protosimplex]
last update 1998-11-20

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:
  1. Existence of a six-dimensional space (R6). Physically accessible four-dimensional space-time (R4) is embedded in R6
    Distinction of three real (height, width, depth) and three imaginary coordinates (time, entelechy, aeon). Therefore the usual space-time model, the four-dimensional view of the world is thus extended by two dimensions: x5 (entelechy) is permanently analysing updating of rganization statuses in x4 (time), and dimension x6 (aeon) is controling the direction of this ambiguous updating process in x4. According to this one had to distinguish between manifest and latent events. The directions of the imaginary transcoordinates x5 and x6 are reversible.
  2. 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.
  3. New cosmology and Hermitian geometry resulting from this. The Fundamental tensor existing in R6 is constructed of non-Hermitian fundamental tensors describing the multiple geometry.
  4. 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.
  5. In the entire theory only ℏ, γ, ε0, μ0 are used as empirical natural constants.
  6. Structures of elementary particles are strongly structured, hierarchically arranged geometrical objects which modify their structure cyclically in sense of internal dynamics.
  7. Derivation of strictly valid symmetry laws of elementary particle and determination of their proper masses.
  8. 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:
  1. Extension of R6 to a coordinate space R12 with 12 dimensions, which permits to calculate all well-known and also still unknown interaction fields (Dröscher's dimension law). In each point of R8 a tangential space with Euclidean coordinates can be established so that a functional dependency concludes. Expressions can be formed representing not only well-known interaction fields but also fields still unknown. Transcoordinates are transformed into R4 by
    R12 = R3(x1...x3)∪T1(x4)∪S2(x5, x6)∪I2(x7, x8)∪G4(x9...x12)
  2. Representation of the quantum-mechanical probability amplitudes as result of a transformation processes from G4 into the material world: Based on twelve-dimensional R12 the coordinates of the G4 can not be transferred in R4 directly. But by means of a mediator space they are transformed into an R4a  (x1* ... x4*). The function of representation is only determined during this projecting process by a suitable parameter selection. This transformation supplies in R4 the probability amplitudes known from quantum theory. Therefore it corresponds to the wave nature of quantum dualism.
  3. Different characteristics of interaction fields are caused by curved coordinates at least of one specific subspace of R12. Possible dimension numbers are not only subspaces of R12 but as well further dimension numbers  can be relevant ranging over R12. A quantity algorithm is found which determines these dimension numbers.
  4. Origin of matter (cosmogony of an elementary universe about 4*1017s 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 space-time 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.
  5. 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.
  6. So-called 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 energy-dependent sliding type.
  7. Additional is shown that a dependency of coupling constants on specific energy values exists which were determining partly the historic development of the universe.
  8. 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.

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Source: Droescher / Heim "Strukturen der physikalischen Welt und ihrer nichtmateriellen Seite"
(preface, summary, OP)

© Olaf Posdzech, 1998