Authors: Yi Cao
Combining the results from the previous SunQM series papers, a (high resolution) 3D probability density map has been constructed and it is able to describe the whole Solar system with time-dependent orbital movement. It is the Eigen description of our Solar system using Schrodinger equation’s solution. In it, the Eigen n’ values of all planet have been calculated. These Eigen n’ values give both the orbital r and the surface r information for each planet. The result revealed that for all planets, their Eigen n’ values in all three dimensions are equal (n’r = n’θ = n’φ = n’). For example, for a planet at orbit {1,5//6} (in the Solar {N,n//6} QM structure), if it has Eigen n’ = n*q^w = 5*6^11 = 1.81E+9 in each of rθφ-3D dimension, then it will have an orbital r = 1.57E+11 m, and surface r = 7.89E+6 m. This is very close to Earth’s orbital r = 1.49E+11 m and surface r = 6.38E+6 m. For Asteroid belt and the cold-KBO, their Eigen n’(s) in the r- and θ-dimension are equal (n’r = n’θ). For example, Asteroid belt’s Eigen n’ = 48 in both r- and θ-dimension. We found that a planet’s wave function in the φ-dimension is composed by a group of wave functions that further forms a (group) wave packet out of the phase wave. Because Schrodinger equation/solution can accurately describe a Solar system as well as a hydrogen atom, it implies that either the whole universe or a single quark can also be described by Schrodinger equation and solution (simultaneously at the resolution levels of either quark, or proton, or star, or galaxy, or even our universe). Several lower resolution 3D probability density maps (also based on Schrodinger equation’s solution) for the whole Solar system have also been successfully built. A summary of the major results from the phase-1 study of the SunQM series has been listed. This work indisputably proved that Solar system is a QM system.
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