An article in the latest issue of Physics Today magazine (July 2006,
page 16) reminded me of something I had contemplated some time ago,
and I have decided to post the notion below.
The article was entitled: "Search for Magnetic Monopoles at the
Tevatron Sets New Upper Limit On Their Production".
It was written by Bertram Schwarzschild, who metioned therein that
detection of a magnetic monopole, anywhere, would allow us to write
Maxwell's equations for electromagnetism in a fashion that would have
the equations describing the electric field in exactly the same form,
symmetrically, as the equations describing the magnetic field.
At present, since we have yet to actually detect magnetic monopoles,
we must assume that they do not exist within the "visible" universe.
For that reason, in Maxwell's equations the magnetic equivalent of
the equation for the force F of an electric field on a particle of
electric charge e is not meaningful (i.e., there is no corresponding
magnetic charge), the term for the magnetic current-density in the
formula for the divergence of the electric field is missing (while
there is a term for the electric current-density in the formula for
the magnetic field's divergence), and the curl of the magnetic field
is, by convention, made equal to zero, which is the condition that
establishes the "non-existence" of magnetic monopoles (with curl of
the electric field a non-zero function of electric-charge density).
Furthermore, as noted in the article, the mass of a magnetic monopole
would be nearly 70 times that of the electron, according to the most
optimistic interpretation of the situation. That puts it far outside
the detection range of all existing colliders, and even beyond the
capabilities of the coming largest Tevatron ever built (scheduled to
go online sometime next year).
In any case, it was largely to explain the lack of magnetic monopoles
in the visible universe that some astrophysicists proposed the theory
referred to as "Inflation"; a superluminal phase of outward motion in
the first moments of the Big Bang, in which, it is said, the density
of magnetic monopoles (and, therefore, magnetic "charges") shrunk to
nothing (though electrical charges, poles, and currents, and their
counterparts in the weak-nuclear and strong-nuclear fields, are still
very much with us, in large numbers).
So, we have a proposal from respected scientists which implies that
all magnetic monopoles remained in superluminal states of existence,
and that this fact is why we cannot detect them.
In other words, it is suggested that actual magnetic monoples are
tachyonic in nature. Thus, they can be depicted, theoretically,
using the tachyonic analogs of their standard representations.
Now, while I noted elsewhere that using the tachyonic analog of a
magnetic monopole to explain gravitation is not as empirical as the
tachyonic-gravity model I propose in my thesis, the tachyonic analog
of a magnetic monopole does explain the so-called Dark Matter and
Dark Energy that cosmologists are looking for, to account for the
extra amount of gravity they have determined must be present in the
universe (i.e., because there is more gravity than is coming from the
detectable mass in the universe), and to account for the acceleration
in the rate of expansion of the universe (for which they have offered
very few explanations, with none of them satisfactory), respectively.
So, there you have it. The Dark Matter they seek is the tachyonic
mass of superluminal magnetic monopoles, and the Dark Energy is the
virtual quanta of the associated superluminal magnetic fields.
To represent this situation mathematically, then, we can simply write
Maxwell's equations for the elecric field as usual, with the magnetic
field representations modified to be of the same form as those for
the electric field (as shown in Schwarzschild's article), except that
magnetic charge-density, magnetic current-density, and magnetic force
are tachyonic; written as actual imaginary quantities, defined by
applying a suitable representations theory, such as using an operator
(like the imagination-unit I present in my thesis) which transforms
the standard terms into their respective tachyonic analogs.
In short, we can hold that Tachyonics explains Dark Matter/Energy in
a manner that is consistent with the observational data on which the
prediction of the existence of Dark Matter/Energy is based.
Of course, the implications for the revision of cosmology theories
can only be guessed, at this time, but such an explantion, if it
proves true, is sure to cause a revolution in our understanding of
the creation, evolution, and present condition of the universe.
EOF