Compass of inertia

Matter everywhere rotates relative to the compass of inertia... 

For a = 0, both A and p must be zero, which implies flat space. The parameter a therefore measures the curvature of space. Although the solution will be shown to define an aesthetically more pleasing cosmology, it has been ignored for many years because it fails to predict a Doppler redshift, does not give a clear definition of the compass of inertia, proposed as rotation axis, and allows closed time loops. 

In terms of this simple alternative geometry, geodesic transplantation fixes points on the line element to occur along the double cover of a narrow Mobius band. It is a known property of a Mobius band that a point, which moves along the double cover, close to one edge, rotates around the central line without intersecting it. This is what Godel describes as rotation with respect to a compass of inertia. 

Figure 7.3 A set of logarithmic spirals, such as the golden, planetary spiral with divergence angle 2t, may serve as a model of Godd s compass of inertia, going through an odd number of involutions...

It is now conjectured that the Godel compass of inertia has the same structure with hve involutions, which divide the universe into ten segments with alternating chirality. The topological structure remains the same as for the single involution considered before, but the hve-fold self-similarity is now imprinted on all space. 

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