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

Abstract

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.