last update 06-03-21

Examples and illustrations

The following figure should not be taken too seriously. It illustrates, how we can imagine
the structures of the different subspaces 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 **generator of an idea**. The idea is
generated by a projection into **the space of ideas I _{2 }(x_{7,
}x_{8})**.

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

In our example, the "idea" is to produce certain types of small
organisms.

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

Iin order for blueprints to actually implement themselves in a material
world, high **probability amplitudes are required**. These probabilities
depend on one hand on whether suitable building blocks already exist
for the intended structure. (They have to be produced by evolution for each place in the
world.) In our case we can see exappropriate substructures
(cell complexes) must be already available from which the organs of a organisms
can be formed. For these cells, too, 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 is only 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