| since 1949 | ||
Extension of the Newton's gravitation law
 |
Consideration of field mass of a gravitational field | |
| 1952 | non hermitian uniform field theory in R4 | 4-dimensional metric eigenvalue equations |
| 1953 | hermitian uniform field theory in R6 | 6-dimensional metric eigenvalue equations |
| 1959 | Theory of metron-geometry in R6 | 6-dimensional selector eigenvalue equations |
| 1961 | hermeneutic theory of possible structure condensations in space (Hermetrie) | World selector equation (world formula) – it examines whether a theroretical structure may be item of physical world or not |
Vol. 1 Elementary structures of matter |
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| 1963 1964 |
beginning of the world, Trinity of Spheres,
nine interacting geometries |
polymetric 6-dimensional selector eigenvalue equations |
| 1966 | algebra of metric exchange processes in space | Which interior dynamics can space possess? |
| 1969 | fundamental symmetries (baryon number, isospin) and 4 symmetries of higher order | |
| 1970 | mass formula of elementary particles | derived from internal geometrical characteristics of space itself |
Vol. 2 Elementary structures of matter(1984) |
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| 1962 | effect of absolute Cartesian coordinates
x5 and x6
Syntrometric method of a formal multi valued logic |
quantitative term structures describe processes in x5 and x6 |
| 1971 | transition from geometry of metrons into a geometry of Syntrixes up to a totality of metroplexes (6) | internal regularities of complex structures |
| 1979 | indirect conclusion about dynamics in
added totalities of Metroplexes T(n):
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How can these regularities look like?
How do they work within the area of the bodies?
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Vol. 3 Structures of physical world and its not-material background(1997) |
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| Construction of a hyperspace R12 with not-material coordinates x7 ... x12 | first approximation to structures of the not-material world | |
| 1994 | controlling of the material world from not-material world by projection chains from G4 into the microbe realm of R6 | Derivation of quantum mechanic laws (eigenvalue equations) as result of this controlling process |
| investigation of the cosmological equation: effects of original natural set of numbers | Derivation of todays physical coupling constants from the origin of the world | |
| cosmogony (development of the universe) | age, distribution and movement of matter | |
| since 1997 | ||
| 1997 | investigations about the temporal duration of existence of elementary structures | |