Protosimplex
Examples and illustrations

Projection chain from G₄  (spirit) into space-time R₄ (matter)

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 R₆ and R₁₂.

A spirit-like process or body in not-material space G₄ (x₉... x₁₂) is acting as a generator of an idea. The idea is generated by a projection into the space of ideas I₂ (x_7, x₈).

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 I₂ into S₂ ).
In our example, the "idea" is to produce certain types of small organisms.

These blueprints exist in the structure space S₂ (x_5, x₆) 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, x₆) 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 S₂  must take place on a single coordinate, i.e. on time T₁ (x₄ ). 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)

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