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V. Conclusions

There are certainly hidden forces explaining the cosmic structures, no matter of scale. From physical point of view these forces simply reflect the action of a system upon its component. The main geometrical characteristic of these forces is that they don’t act along the line joining two bodies. That action is only apparent.

Because we are bound to Earth, our possibility to explore the Universe around us is very limited. Distant events are inferred exclusively from the light we think we receive from them, not from some force exerted upon us. In this respect we showed here that the radial distance and the time associated with distant events can be united in a 2D differential geometry whereby the astronomical proper motions are elementary geodesic path lengths.

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