[net.physics] the ultimate rocket

henry (11/09/82)

A recent item in Science (15 Oct 1982, page 274) indicates that there
is now a strong suspicion that magnetic monopoles, if they exist, would
catalyze the (as-yet hypothetical) decay of the proton.  It has been
pointed out that the various Grand Unified Theories (the current hot
theories in particle physics) all predict that the magnetic monopole
would have a very odd structure.  In its core, circa 10**-30 cm across
(essentially a dimensionless point even on the subnuclear scale), one
finds conditions not seen elsewhere in the universe since the Big Bang:
the electromagnetic, nuclear, and weak forces are one and the same, and
various particles are similarly indistinguishable (for example, the
quark, electron, and neutrino are identical).  As one moves outward
from the core, the various stages of "symmetry breaking" last seen
instants after the Big Bang appear, until on the outside the only
remnant of the funniness inside is the magnetic field.

Now, the core of the monopole is so small that this would seem to be
of no practical significance.  However, quarks in particular turn out
to be able to interact with this core with a probability independent
of the size of the core.  Exactly what happens to such a quark depends
on the details of the particular G.U.T.  However, any theory which
allows for the decay of the proton also predicts that interaction with
a monopole core can transform a quark into an antiquark.  Thus, when
a monopole wanders into a proton (or neutron), one of the proton's
quarks dives into it, comes back out as an antiquark -- and the proton
explodes.  After assorted intermediate particles go their way, the
proton has been converted to energy (plus a scattering of neutrinos).
The monopole is unchanged.

The bad news is that astronomical evidence strongly suggests that
proton decay is impossible, monopoles are extremely infrequent, or
the as-yet-unsettled cross-section for the quark/monopole-core
reaction is very small.  If one assumes that proton decay is possible,
that the Cabrera event last spring was really a monopole, and that
the cross-section is something reasonable, one expects to see X-ray
emission from neutron stars with trapped monopoles, and we don't.
Given no X-rays, any sort of plausible cross-section, and proton decay
(which is not yet certain, but the early experiments have already given
some very suggestive results), the Cabrera event is ridiculously unlikely.
The puzzle is unsolved as yet.

The good news is that the various proton-decay experiments now being
set up will make excellent tests of this theory, because the passage
of a monopole through one of their detector chambers would be a truly
spectacular event.

The REALLY good news is, if the theories prove correct and the negative
astronomical evidence can be reconciled somehow, then monopoles are
catalysts for the direct conversion of matter to energy.  And quite
apart from its other uses, that's just what the doctor ordered for
powering starships.

heliotis (11/09/82)

I had been taught that magneteic monopoles do not exist, by definition
of magnetism.  (Something about what happens to electric fields when
relativity is taken into account).  Can anyone confirm or contradict this?

					Jim Heliotis

gwyn@BRL@sri-unix (11/12/82)

From:     Doug Gwyn <gwyn@BRL>
Re:  magnetic monopole existence

The conventional Maxwell differential equations for the electromagnetic
field do not include magnetic sources (monopoles).
These equations can be brought into patently invariant form under
special-relativistic (Lorentz) transformations.  However, magnetic
sources can be added (analogously to electric charge density) and
still maintain Lorentz-invariance.  The asymmetry in the equations
is what normally makes people desire to restore symmetry by postulating
magnetic charges .  Since in fact there is abundant evidence for electric
charge and none for magnetic charge, the real question changes to "why
aren't there any magnetic charges in reality?".  They are NOT ruled
out on special-relativistic grounds.  (By the way, one should beware
of "by definition" arguments!)

One possible explanation for the absence of magnetic charges can be
found in "classical" unified field theory a la Einstein-Schrodinger.
In the best of these theories, an equation can be derived from
general-invariance arguments that is usually interpreted as the
exact vanishing of magnetic charge density.  This IS a relativistic
result, but in a much deeper sense than usual.  Indeed, I would
venture to say that no more than a few dozen people understand what
Einstein was trying to do with his unified field theory effort;
certainly the usual textbook statements about this show lack of
understanding.

Other possible explanations may be found in specifically quantum
theories, although I am not an expert in that area.  (Also, from
the searches for magnetic monopoles, I would guess that these
theories do NOT explain their absence.)