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.

A high accuracy Higgs boson, H

KEYWORDS

Higgs Boson, Neutron, Unificaiton Model, Down Quark, Fine Structure Constant, Planck Time, Gravity

Higgs Boson, Neutron, Unificaiton Model, Down Quark, Fine Structure Constant, Planck Time, Gravity

Cite this paper

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.

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.

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[1] Higgs, P.W, (1964) Physical Review Letters, 13, 508-509.

http://dx.doi.org/10.1103/PhysRevLett.13.508

[2] Iso, S. (2013) What Can We Learn from the 126 GeV Higgs Boson for the Planck Scale Physics Hierarchy Problem and the Stability of the Vacuum? arXiv:1304.0293

[3] Gherghetta, T., von Harling, B., Medina, A.D. and Schmidt, M.A. (2013) The Scale-Invariant NMSSM and the 126 GeV Higgs Boson. arXiv:1212.5243v2

[4] Carena, M., Beringer, J., et al., Particle Data Group (2012, 2013) Physical Review D, D86, Article ID: 010001. (2012 and 2013 Partial Update for the 2014 Edition).

[5] CMS Collaboration (2012) Physics Letters B, 716, 30-61. arXiv:1207.7235. Bibcode:2012PhLB..716...30C.

http://dx.doi.org/10.1016/j.physletb.2012.08.021

[6] ATLAS Collaboration (2012) Physics Letters B, 716, 1-29. arXiv:1207.7214. Bibcode:2012PhLB..716....1A.

http://dx.doi.org/10.1016/j.physletb.2012.08.020

[7] Chakeres, D.W. (2009) Particle Physics Insights, 2, 1-20.

[8] Chakeres, D.W. (2011) Particle Physics Insights, 4, 19-23.

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http://dx.doi.org/10.4137/PPI.S8269

[12] Chakeres, D.W. (2012) The Harmonic Neutron Hypothesis: Alpha and the Annihilation Frequency Equivalent of the Neutron Are Sufficient to Derive the Effective Fine Structure Constant at Z American Physical Society Poster.

[13] Chakeres, D.W. (2006) The Imaginary Number Neutron Symphony. US Copyright, TXu1-295-777.

[14] Lykken, J. and Spiropulu, M. (2014) Scientific American, 310, 34-39.

http://dx.doi.org/10.1038/scientificamerican0514-34