Authors: Yi Cao
In SunQM-3 series, we studied Solar {N,n} QM within the boundary of the traditional Schrodinger equation/solution and Born’s rule. In SunQM-4 series, we start to relax that boundary. In the current paper, for a planet in nLL QM state doing circular orbital movement, we deduced out (a full-QM deduced) |Φ(φ)|^2 * |T(t)|^2 for a planet’s time-dependent probability density in φ-dimension. To satisfy the well-known QM rule that a matter wave’s group velocity equals to 2x of its phase velocity, we have to define a non-Born calculation as |T(t)|^2 ∝ [exp(-i * ω(n,ph) * t)]^2 where ω(n,ph) is the phase angular frequency of a planet’s matter wave in φ-dimension. To obtain a physical meaningful |Φ(φ)|^2 * |T(t)|^2, we have to define a non-Born probability (NBP) density calculation as |Φ(φ)|^2 ∝ Φ(φ), or its φ-dimensional probability density function is directly proportional to its matter wave function. Combining with SunQM-3s11’s result, we built a complete Solar system with time-dependent circular orbital movement using the full-QM deduced non-Born probability density 3D map. This 3D probability density described a Solar system not only at planet’s Eigen description level, but also at any level of resolution (down to proton level, or up to the whole universe level). Therefore, we propose that “Simultaneous-Multi-Eigen-Description (SMED)” is one of many nature attributes of QM. We believe that by adding the non-Born calculation to Born calculation, the QM will become more self-consistent and more complete.
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[v1] 2020-03-25 19:32:58
[v2] 2021-02-03 21:14:56
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