In a finite Universe the cosmologic principle (homogenity and isotropy) quickly leads to the suggestion that a displacement ds may be homolog to a rotation by an angle ds/R. In a cartesian image coordinate system, every point (x,y,z) of our Universe is then represented by a three angle orientation vector (x/R, y/R, z/R).
Because combined rotations around different axes combine the cartesian coordinate directions, various consequences occur in that geometry. Diverging geodesics are one consequence.
I would like to know if the various consequences have been analysed in the literature.
The according mathematical analysis of coordinate transforms and rotation operations does not seem to be too complicated and the possible consequences for physical laws are fascinating.
Dear Wolfgang,
When using gravitomagnetism, which perfectly describes gravity, one gets repell (on top of Newtonian gravity attraction) between two spinning masses with parallel axes (same orientation).
This feature explains many cosmic events and situations, as you can see in the annexed slides.
Hi Thierry
Thank you for your answer, which addresses an interesting physical phenomenon. My question mainly concerns the underlying mathematics and topology of a geometric model of the whole univerrse. The proposed model surely has consequences for gravitational effects on extremely large scales. May be gravitomagnetism provides additional means to prove or disprove the model.
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