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Quote: "No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the “square root” of geometry and, just as understanding the square root of −1 took centuries, the same might be true of spinors." (Wikipedia/Spinor) Unquote

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The neutrino cannot be "sterile" in the Higgs-Field. A neutrino is a spinor, if not quaternions. The majorana identity of neutrinos (majorana particle) indicates a p-violation of neutrinos, also when transiting from matter into the quantum vacuum by a non-linear coupling factor to the electroweak force in dimensional transmutations.

by Oliver Thewalt

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More evidence and some useful links:

(http://en.wikipedia.org/wiki/Dimensional_transmutation

http://en.wikipedia.org/wiki/Majorana_spinor

(The appearance of both ψ and ψc in the Majorana equation means that the field ψ cannot be coupled to an electromagnetic field without violating charge conservation, so ψ is taken to be neutrally charged. Nonetheless, the quanta of the Majorana equation given here are two particle species, a neutral particle and its neutral antiparticle. The Majorana equation is frequently supplemented by the condition that ψ = ψc (in which case one says that ψ is a Majorana spinor); this results in a single neutral particle. For a Majorana spinor, the Majorana equation is equivalent to the Dirac equation.

Particles corresponding to Majorana spinors are aptly called Majorana particles. Such a particle is its own antiparticle. Thus far, of all the fermions included in the Standard Model, none is described as a Majorana fermion. However, there is the possibility that the neutrino is of a Majorana nature. If so, neutrinoless double-beta decay, as well as a range of lepton-number violating meson and charged lepton decays, are possible. A number of experiments probing if the neutrino is a Majorana particle are currently underway.)

The nature of the interaction

The interaction could also explain muon decay via a coupling of a muon, electron-antineutrino, muon-neutrino and electron, with the same fundamental strength of the interaction. This hypothesis was put forward by Gershtein and Zeldovich and is known as the Conserved Vector Current hypothesis

Fermi's four-fermion theory describes the weak interaction remarkably well. Unfortunately, the calculated cross-section grows as the square of the energy \sigma \approx G_{\rm F}^2 E^2 , making it unlikely that the theory is valid at energies much higher than about 100 GeV. The solution is to replace the four-fermion contact interaction by a more complete theory (UV completion)—an exchange of a W or Z boson as explained in the electroweak theory.

In the original theory, Fermi assumed that the form of interaction is a contact coupling of two vector currents. Subsequently, it was pointed out by Lee and Yang that nothing prevented the appearance of an axial, parity violating current, and this was confirmed by experiments carried out by Chien-Shiung Wu.[6][7]

MuonFermiDecay.gif

Fermi's interaction showing the 4-point fermion vector current, coupled under Fermi's Coupling Constant GF. Fermi's Theory was the first theoretical effort in describing nuclear decay rates for Beta-Decay.

The inclusion of Parity violation in Fermi's interaction was done by George Gamow and Edward Teller in the so-called Gamow-Teller Transitions which described Fermi's interaction in terms of Parity violating "allowed" decays and Parity conserving "superallowed" decays in terms of anti-parallel and parallel electron and neutrino spin states respectively. Before the advent of the electroweak theory and the Standard Model, George Sudarshan and Robert Marshak, and also independently Richard Feynman and Murray Gell-Mann, were able to determine the correct tensor structure (vector minus axial vector, V − A) of the four-fermion interaction

http://en.wikipedia.org/wiki/Fermi's_interaction

http://en.wikipedia.org/wiki/Coupling_constant

http://oldwww.phys.washington.edu/users/jeff/courses/588A/presentationfiles/skline-MSW1dec10.pdf

http://hepwww.rl.ac.uk/ricciardi/Lectures/MSW-1.pdf

http://www.pwein.at/physics/Lectures/Famous-Papers/Dirac.pdf

http://www.thphys.uni-heidelberg.de/~maniatis/Lecture06/stachel-mulife.pdf

http://www.jstor.org/discover/10.2307/2371218?uid=3737864&uid=2&uid=4&sid=21103934724967

http://www.jstor.org/discover/10.2307/94981?uid=3737864&uid=2&uid=4&sid=21103934724967

http://en.wikipedia.org/wiki/Proton-to-electron_mass_ratio

http://en.wikipedia.org/wiki/UV_completion

http://pdg.lbl.gov/2005/reviews/numixrpp.pdf

Quote:

"When neutrinos travel through a dense medium (e.g., in the Sun or in

the Earth), their propagation can be significantly modified by the coherent

forward scattering from particles they encounter along the way. As a

result, the oscillation probability can be rather different than it is in vacuum.

The flavour-changing mechanism in matter was named after Mikhaev,

Smirnov and Wolfenstein (MSW), who first pointed out [1] that there is

an interplay between flavour-non-changing neutrino-matter interactions and

neutrino mass and mixing. The MSW effect stems from the fact that electron neutrinos (and antineutrinos) have different interactions with matter compared

to other neutrinos flavours. In particular, e can have both charged

current and neutral current elastic scattering with electrons, while μ or

have only neutral current interactions with electrons. This fact gives rise to

an extra-potential Ve = ±

p

2GFNe [2], where Ne is the electron density in

matter, GF is the Fermi constant, and the positive(negative) sign applies to

electron-neutrino(antineutrinos).

Therefore, the effective Hamiltonian which governs the propagation of

neutrinos in matter, HM, contains an extra e-e element." Unquote

http://hepwww.rl.ac.uk/ricciardi/Lectures/MSW-1.pdf

**Further Reading:**

Why in a beyond Dirac World View the positron is not the anti-electron

A theory about the cause of gravity

Preliminary Information about the Matter Creation Process in the Higgs-Field

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Oliver Thewalthttp://hixgrid.de/pg/file/read/36211/1-loop-qed-contribution