Publisher's Synopsis
The topological genus in the precession of Mercury is shown to be 0, not 1. It has a different topology than currently assumed. This breaks Kepler's first and third laws, while supporting Kepler's second law. We also suggest that quantum mechanics (QM) is already harmonized with special and general relativity (SR/GR), under digital constructivism -- one cannot construct a continuous orbit, ever. Also, the real numbers are seen here as fictitious, but the integer is real. All these points are contrapositive to the usual assumptions. This work also compares the precession of the perihelion of Mercury in Newtonian mechanics approximation, and GR correction to first-order. The precession of the perihelion of Mercury is found to lead to a closed and continuous orbit under Newtonian dynamics (Bertrand's Theorem), but creates an open quantum orbit under GR and QM, that is non-continuous everywhere, with fine quantum levels in spacetime. Therefore, the precession of the perihelion of Mercury, although having the same approximate experimental and theoretical values as measured from Earth, has a different shape as a spiraling, quantum movement, according to this work.
