Authors: Yi Cao
{N,n} QM contains two major parts: the Bohr formula-based part and the Schrodinger equation-based part. 1) For the Bohr formula-based part, after combining all results from the previous SunQM series papers, a {N,n//6} QM Structure (Master) Periodic Table (with N = -23..15, n = 1..12) is established. A summarized result of the {N,n//6} QM structure has been given for each region of this (Master) Periodic Table, including the cosmic {N,n//6} QM (at N > 5), the Solar {N,n//6} QM (at N= 5..-5), the chemical bond dominated world (at N= -2..-11), the atomic and nuclear {N,n//6} QM (at N= -12..-15), and the elementary particles and sub-quark {N,n//6} QM (at N ≤ -16). The common properties (that across all regions of the Master Period Table) has been discussed. For example, by adding many short-life intermediate states (n’ = 1..6^6) in between the major quantum state n=1..5, we can transform a quantum description (with n=1..5} into a (continuous) classical physics description (with n’ = 1..6^6). 2) For the Schrodinger equation-based part, we summarized that how to use {N,n//6} QM plus non-Born probability (NBP) plus Simultaneous-Multi-Eigen-Description (SMED) to describe a planet (or an atom in this planet) that orbiting around Sun, and a photon that propagating away (or towards to) a (Bohr) atom (and it can also be used for a 180° scattering). We further discussed the possibility to extend this description for any kind of movement (elliptical/parabolic/hyperbolic orbiting, scattering, etc.), with any inclination/eccentricity/precession. We also discussed how to use Schrodinger equation/solution for the N-body movement description. We pointed out that there is a conceptual difference between the {N,n} QM and the traditional QM in describing the H-atom’s electron orbit: while the probability (i.e., the Born probability) is the foundation of the traditional QM, the single trajectory (i.e., NBP peak’s time-dependent trajectory) is the foundation of the {N,n} QM (although this single trajectory will pick one of the many possible tracks based on the probability). 3) In the cosmic {N,n//6} QM, we explored the possibility that those super large cosmic “great walls” with distances ~ 9E+9 light-years from Earth are the (~ 9E+9 years old) self-images of our own Milky Way galaxy and be viewed at different angles. If this is correct, then our universe may should be a positive curved 3D space, with the circumference of ~ 9E+9 light-years. This means, just like we are practically living in the 2D spherical space on the surface of a 3D ball something (i.e., a planet), we may practically live in the 3D spherical space on the surface of a 4D ball something. 4) We pointed out that the wave mechanics is equally powerful as that of particle mechanics in solving a QM problem, and a particle mechanics based holographic-description and SMED is waiting to be developed. 5) Because the Bohr formula rn = r1 * n^2 correlates to the (free-fall) accelerated distance formula d = (1/2) *g *t^2 and Newton formula F = m * a, we believed that Bohr formula is the Number-One important formula in physics. We believed that all these results make {N,n} QM theory becomes one of the most (roughly) completed and (roughly) self-consistent theories in physics.
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[v1] 2021-11-17 21:02:46
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