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**Prediction and Derivation of the Higgs Boson from the Neutron and Properties of Hydrogen Demonstrating Relationships with Planck’s Time, the Down Quark, and the Fine Structure Constant** ()

A high
accuracy Higgs boson, H

^{0}, is an important physical constant. The Higgs boson is associated with the property of mass related to broken symmetry in the Standard Model. The H^{0}mass cannot be derived by the Standard Model. The goal of this work is to derive and predict the mass of H^{0}from the subatomic data of the frequency equivalents of the neutron, electron, Bohr radius, and the ionization energy of hydrogen. H^{0}’s close relationships to the fine structure constant,*α*, the down quark, and Planck time, t_{P}are demonstrated. The methods of the harmonic neutron hypothesis introduced in 2009 were utilized. It assumes that the fundamental constants as frequency equivalents represent a classic unified harmonic system where each physical constant is associated with a classic harmonic integer fraction. It has been demonstrated that the sum exponent of a harmonic integer fraction, and a small derived linear*δ*value of the annhilation frequency of the neutron, v_{n}, 2.2718591 × 10^{23}Hz, (v_{n}s) as a dimensionless coupling constant represent many physical constants as frequency equivalents. This is a natural unit system. The harmonic integer fraction series is 1/±n, and 1 ± 1/n for n equals 1 to ∞. The H^{0}is empirically and logically is associated with harmonic fractions, 1/11 and 1 + 1/11.*α*^{-1}is associated with 11.*α*^{-1}is a free space scaling constant for the electromagnetic force so it is logical that 11 should also have a pair, but for a free space mass constant. Also there should be a harmonic faction pair for the down quark, 1 - 1/11, just as there is pairing of the up quark, 1 - 1/10, and top quark, 1 + 1/10. The harmonic neutron hypothesis has published a method deriving a high accuracy Planck time, t_{P}from the same limited subatomic data. The*δ*line for H^{0}should be closely associated with t_{P}since they both are related to mass. The preferred derived value related to t_{P}^{2}is 125.596808 GeV/c^{2}. A less attractive derived value is 125.120961 GeV/c^{2}from the weak force factors only. The experimental CMS and Atlas value ranges are 125.03^{+0.26+0.13}_{-0.27}_{-0.15}and 125.36^{±0.37}_{±0.18}GeV/c^{2}. Empirically the H^{0}*δ*line is closely related to the same factors of the t_{P}*δ*line, but with inverse sign of the slope. The H^{0}completes the paring of a free space constant for mass, the down quark, and an inverse sign*δ*line factors with t_{P}. It is possible to accurately derive the mass of H^{0}from subatomic physical data. The model demonstrates that H^{0}is closely associated with*α*, the down quark, and t_{P}. This prediction can be scrutinized in the future to see if it is accurate. The model has already published accurate predictions of the masses of the quarks.Keywords

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Chakeres, D. (2014) Prediction and Derivation of the Higgs Boson from the Neutron and Properties of Hydrogen Demonstrating Relationships with Planck’s Time, the Down Quark, and the Fine Structure Constant.

*Journal of Modern Physics*,**5**, 1670-1683. doi: 10.4236/jmp.2014.516167.Conflicts of Interest

The authors declare no conflicts of interest.

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