The following examples are our **Target** i.e. when elaborating/working with the Axioms and the question arises whether to accept or reject a new formulation, I check whether all examples are still covered or not (sometimes by slight modifications of the example without changing its essence).

**Example 1 Real Line as Q-Space **

**Example 2 Circle-Group as Q-Space **

**Example 3 Genesis as Q-Space **

The solid circles are the time-like geodesics**,** the dashed triangles are the non-time-like geodesics. Not indicated are the additional non-geodesic time-like lines like {Night, Morning, Before Noon, Noon, Afternoon, Evening} and their symmetric partners. Boxes are *open, *Circles are *closed *in *O-Topology*. Shadowed one *Normal *set.

**Example 4 Simple Discrete Wave as Q-Space **

The solid lines are the time-like geodesics, the dashed triangles respectively lines in different colors are the non-time-like geodesics. Shadowed one *Normal *set. The Simple Discrete Wave** **represents in a way the *unfolding in time *of Genesis.

**Example 5 Simple Discrete Wave with Spin as Q-Space **

The solid lines are the time-like geodesics, the dashed lines are the non-time-like geodesics. Shadowed one *Normal *set.

**Example 6 Complex Plane as Q-Space **

**Example 7 Quaternion-Space as Q-Space **

**Example 8 Complex Plane as refined Q-Space **

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