Quantization in Astrophysics, Brownian Motion, and by Florentin Smarandache, Vic Christianto

By Florentin Smarandache, Vic Christianto

The current booklet discusses, between different issues, numerous quantization phenomena present in Astrophysics and a few similar matters together with Brownian movement. With fresh discoveries of exoplanets in our galaxy and past, this Astrophysics quantization factor has attracted various discussions some time past few years. so much chapters during this booklet come from released papers in numerous peer-reviewed journals, and so they conceal diversified ways to describe quantization, together with Weyl geometry, Supersymmetry, generalized Schrödinger, and Cartan torsion approach. In a few chapters Navier-Stokes equations also are mentioned, since it is probably going that this conception will stay correct in Astrophysics and Cosmology whereas a lot of the arguments offered during this e-book are theoretical, still we suggest extra statement with the intention to make certain or refute the propositions defined herein. it truly is of our wish that this quantity might open a brand new bankruptcy in our wisdom at the formation and constitution of Astrophysical platforms. the current ebook is additionally meant for younger physics and math fellows who might be will locate the arguments defined listed below are at the least worthy considering. Papers by way of A. Rubcic, J. Rubcic, M. Pitkanen, Fu Yuhua, C. Castro, J. Mahecha, M. Pavsic, J. A. Nieto, J. F. Gonzalez, D. L. Rapoport, Gao Shan, M. Pereira, A. Yefremov, F. Smarandache, V. Christianto.

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The semiclassical interpretation of the angular momentum algebra predicts the inclinations of the inner planets. The predicted (real) inclinations are 6 (7) resp. 4) degrees for Mercury resp. Venus). 5) degrees. c) The v0 → v0 /5 transition allowing to understand the radii of the outer planets in the model of Da Rocha and Nottale could be understood as resulting from the splitting of (Z 0 and gravi-) magnetic flux tube to five flux tubes representing Earth and outer planets except Pluto, whose orbital parameters indeed differ dramatically from those of other planets.

Therefore systems involving these values of q should be especially abundant in Nature. These polygons are obtained by ruler and compass construction and Gauss showed that these polygons, which could be called Fermat polygons, have nF = 2k s Fns sides/vertices: all Fermat primes Fns in this expression must be different. The analog of the p-adic length scale hypothesis emerges since larger Fermat primes are near a power of 2. The known Fermat primes n Fn = 22 + 1 correspond to n = 0, 1, 2, 3, 4 with F0 = 3, F1 = 5, F2 = 17, F3 = 257, F4 = 65537.

The time scale T = 2πR/c is very nearly equal to 5 minutes and defines a candidate for a biorhythm. If this flux tube carried the same magnetic flux as the flux tubes associated with the inner planets, the decomposition of the disk with a hole to 5 flux tubes corresponding to Earth and to the outer planets Mars, Jupiter, Saturn and Neptune, would explain the value of v0 correctly and also the small inclinations of outer planets. 5 degrees in the case of Earth [12]. 3 Eccentricities and comets Bohr-Sommerfeld quantization allows also to deduce the eccentricities of the planetary and comet orbits.

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