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The following lines prove that one can apply a self-evident commonsense
and find that an uncorrectable error exists in the electroweak
theory. People who are not acquainted with the physical statements
1-3 can assume that they are correct and arrive at the same conclusion.
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The electromagnetic interaction of the electrically charged electron
which obeys the Dirac equation is known since the very early days
of this equation. Here an expression for the 4-current
jμ plays a crucial role.
This equation is very successful.
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In the case of a quantum mechanical particle, the Noether theorem
is used as the standard way for constructing an expression for
the above mentioned 4-current.
This method works fine for the Dirac electron.
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The W particle carries an electric charge and is an indispensable
element of the electroweak sector of the Standard Model.
As a charge carrying particle, the quantum structure of the
W must yield a self-consistent expression for the Maxwellian 4-current.
However, more than 4 decades have elapsed
since the publication of the electroweak theory and there is
still no consistent expression for the 4-current of the W because
the Noether theorem does not work for it. For this reason,
people who work in modern accelerators
still use an "effective expression" for the
W's electromagnetic interaction. (See
V.M. Abazov et al. (D0 collaboration), Phys. Lett. B718, 451 (2012)
and
G. Aad et al. (ATLAS Collaboration), Phys. Lett. B712, 289 (2012).)
Self-evident conclusions:
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Item 1 above describes an example showing
that if an expression for the 4-current
of a quantum particle exists then it is found quite rapidly. Therefore,
it is concluded that
an acceptable expression for the W's 4-current cannot be
constructed, because the ordinary method of the Noether theorem
does not work and
so many people have not found it during more than four decades.
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Electrodynamics is a well known theory which relies on the 4-current for
a proper description of electromagnetic interaction.
Therefore, there is an uncorrectable problem with the Standard Model
electroweak theory because it is based on an assumed charged particle
that has no theoretically valid expression for its electromagnetic
interaction.
A physical conclusion: The failure to describe the W as an elementary
charged particle means that the experimentally detected object called W
must be a composite particle. The
most reasonable candidate is a meson
which is a superposition of the top quark and a corresponding
antiquark.
The main point of this page is stated very briefly
here.
For reading a scientific Article that proves these points,
Click here.
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