## Sunqm-3s7: Predict Mass Density R-Distribution for Gas/ice Planets, and the Superposition of {N,n//q} or |qnlm> QM States for Planet/star

**Authors:** Yi Cao

Using the same method developed in paper SunQM-3s6, the (close to the true) mass density r-distribution for gas/ice planets has been estimated based on {N,n} QM probability distribution. Based on this calculation (as well as on other scientists’ calculation), the center core mass density for Jupiter, Saturn, Uranus, Neptune, and the undiscovered {3,2} planet (if it does formed) are estimated to be: ~ 26000 kg/m^3, ~ 23000 kg/m^3, ~ 16500 kg/m^3, ~ 17000 kg/m^3, and ~ 16000 kg/m^3 respectively. Although a celestial body’s formation is primarily based on G-force, after passing a critical mass point (estimated between 1E+19 kg to 7E+22 kg), the {N,n} QM-force starts to affect the internal structure of this celestial body. For an in situ formed (large) celestial body, its {N,n} QM governed radial structure is always coupled with its gravity governed radial structure, although they may be de-coupled under certain situation. If we define the pFactor's quantum number as “q”, then a p{N,n//q} QM state can be written as |qnlm>. The analysis suggests that q is also a superpositioned quantum number in |qnlm> QM state. The analysis reveals that Jupiter’s current QM structure p{N,n//5} may not be at a Jupiter-massed celestial body’s “global energy minimum” state. In other words, among all possible superpositional q(s), q=5 may not be the ground state for a Jupiter-massed celestial body’s |qnlm> state. The analysis also suggests that q=6 is a Sun-massed celestial body’s “global energy minimum” state, so Solar system’s {N,n//6} QM structure is a |qnlm> ground state for the quantum number q.

**Comments:** 18 Pages.

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### Submission history

[v1] 2018-12-17 13:57:38

[v2] 2019-03-08 23:04:26

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