In the well-known Aharonov-Bohm effect, a charged particle experiences a phase shift as it moves through a region of space where the magnetic field is zero. The presence of a magnetic flux in the area, which influences the wave function of the particle, results in this phase shift. The Aharonov-type interaction, in which the phase shift is caused by a topological flaw in the system, such as a spin texture or a Berry phase, rather than a magnetic field, has attracted increasing interest in recent years. In this regards, in a recent paper, we argued in favour of Gross-Pitaevskii model as a more complete description of both solar system and spiral galaxies, especially taking into account the nature of chirality and vortices in galaxies (see Prespacetime J, 2021, & SMIC, 2020). In this paper, we will discuss shortly a nonlinear cosmology model inspired by analogy between cosmology phenomena and low temperature physics, especially via superconductor / superfluid vortices dynamics. We described: (a) a nonlinear cosmology model based on Navier-Stokes turbulence equations, which then they are connected to superfluid turbulence, and (b) the superfluid turbulence can lead to superfluid quantized vortices, which can be viewed as large scale version of Bohr’s quantization rule, and (c) this superfluid quantized vortice interpretation of Bohr’s rule allow us to predict quantization of planetary orbits in solar system including new possible orbits beyond Pluto. In more specific way. we apply the new model based on Bogoliubov-de Gennes equation correspondence with Bohr-Sommerfeld quantization rules. Then we put forth an argument that from Bohr-Sommerfeld quantization rules we can come up with a model of quantized orbits of planets in our solar system, be it for inner planets and also for Jovian planets. In effect we also tried to explain Sedna’s orbit in the same scheme.
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Victor Christianto
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https://doi.org/10.54216/JCFA.020203