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Calculation of elementary particles' masses and planetary distances. The shape of the primordial universe

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A primary equation, derived from the Schrödinger equation, can be employed to calculate the planetary distances. It can also be converted, according to a model which had been demonstrated in previous papers [L. Nahum, Adv. Phys. Theor. Appl. 5, 11 (2012); Phys. Essays 28, 167 (2015)], into a parallel equation to calculate the masses of elementary particles; its solution predicts that the logarithms of the masses must differ from one another by constant quantities or their multiples. The following masses have been calculated: top quark (172.567 ± 0.038 GeV/c 2), bottom quark (4.2764 ± 0.0009), and two Higgs bosons (126.221 ± 0.028 and 124.616 ± 0.030). The most probable masses of the other quarks have also been calculated. The results imply that the primordial universe had a lenticular shape with the equatorial axis measuring R bx = R by = 4 6 π 9 / 2 l p and with R bz = 9 l p π - 3 / 2 , l p being the Planck length. The solution of the primary equation demonstrates that also the differences between the logarithms of planetary distances from the sun are multiples of a constant quantity. The same equation could be applied to an extra-solar system (Pulsar PSRB1257+12). Comparing this equation with the Titius‐Bode empirical law, we try to explain why the latter fails in the case of Neptune.
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Keywords: Bosons; Early Universe; Elementary Particles; Extra-Solar Systems; Leptons; Planetary Distances; Quarks; Solar System

Document Type: Research Article

Publication date: December 1, 2016

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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