last update 06-03-21

Examples and illustrations

The following figure is to be taken not quite bitterly seriously. It illustrates
in common pictures, how we can imagine structures of the different partial
spaces in Heim's Model of R_{6} and R_{12}.

**A spirit-like process **or body

in not-material space G_{4
}(x_{9}...
x_{12}) is acting as a **producer of an idea**. The idea is
generated by a projection into **the space of ideas I _{2 }(x_{7,
}x_{8})**.

Ideas again produce material structural drawings (blueprints), on which
all conceivable **structures** are registered which can be implemented
in a material world. (This again can be described mathematically by a further
projecting process of I_{2 }into S_{2 }).

In our example it concerns an idea of producing certain types of small
organisms.

These blueprints exist in structure space S_{2 }(x_{5,
}x_{6})
independently of whether they were already transferred (realized) at a
certain place of the world or not. This is because the two coordinates
(x_{5, }x_{6}) exist completely independently of place
and time.

So in order that blueprints can actually implement themselves in a material
world it needs high **probability amplitudes**. These probabilities
depend on one hand on whether appropriate building blocks already exist
for the intended structure. (They must be produced for each place in the
world by evolution.) In our case we can see that appropriate substructures
(cell complexes) must be available already from which organs of a organisms
can be formed. Also for these cells subordinated structural drawings already
exist.

On the other hand the actual possibility of implementation depends
from **reached throughput of the structural drawing into the quantum-mechanical
play of probabilities**.

This throuput into quantum mechanical probabilities for example can
have an influence during a collision of two molecules, so that it will
come to an actual chemical reaction or not.

Because a projection only is possible toward a smaller
number of dimensions, this latest projection from S_{2 }
must take place on a single coordinate, i.e. on time T_{1 }(x_{4
}).
That means in practice that quantum-mechanical events will be shifted minimally
in time, whereby probabilities of physical interaction shift in each point
in time.

A mathematical description of this model supplies the
kind of periodically varying probability amplitudes, as they are actually
observed in quantum mechanics. (You will find this in Elementarstrukturen
der Materie

, Vol 3, 1998)

© Olaf Posdzech, 1998