GRAND UNIFIED THEORY
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GRAND UNIFIED THEORY
A Grand Unified Theory (GUT) unifies, or interre-
lates in a single quantum field interaction, the three
fundamental nongravitational forces: electromag-
netism, the weak nuclear interaction, and the
strong nuclear interaction. These three forces are
each characterized by a coupling constant, which
gives the strength of the interaction by a range
over which the force acts (long-range like electro-
magnetism, or short-range like the two nuclear
forces), and by certain characteristic symmetries
that are described by mathematical symmetry
groups. A successful GUT would show how the
three different coupling constants become identical
at some very high energy, subsume the symmetries
of the three individual interactions in a much larger
symmetry group, and explain all of the masses,
processes, couplings, decays, ranges, and other be-
haviors of all particles at lower energies—lower
than the GUT unification energy. The current stan-
dard model of particle physics, though highly suc-
cessful in other ways, does not do this. Further,
there are strong indications that a more complete
and adequate explanation, describing deep con-
nections that have so far evaded our understand-
ing, awaits a successful GUT model.
A GUT would express the fact that at the most
fundamental level all nongravitational interactions,
and all particles, quarks, electrons, and neutrinos,
are intimately interrelated and, in fact, identical
above the unification energy. Their difference at
low energies is expressed in a GUT by saying that
the symmetries characterizing the interactions at
very high energies, rendering particles and forces
identical or equivalent, are “spontaneously broken”
below the unification energy. Such spontaneously
broken symmetries are present in the underlying
relationships characterizing the system, but are not
expressed—are hidden—in a given equilibrium
state of the system, such as that realized in the
present state of the universe. Construction of a
GUT theory is an essential step towards achieving
total unification, which would also include gravity.
Although promising and detailed progress has
been made on a number of fronts, there was no
adequate GUT as of 2002.
There are strong indications that all the basic
physical interactions are intimately related and that
they can be unified. In the mid nineteenth century,
the Scottish physicist James Clerk Maxwell began
realizing this intuition by unifying electrical and
magnetic phenomena in his electromagnetic the-
ory. In the 1970s, Sheldon Glashow, Stephen Wein-
berg, and Abdus Salam succeeded in developing an
adequate electroweak theory, which describes how
electromagnetism and the weak nuclear interaction
are related, and how they are identical at tempera-
tures above 10
15
K (kelvin). This electroweak the-
ory was confirmed in 1983 by the discovery of the
W and Z massive bosons, which carry the elec-
troweak force and which were predicted by the
theory. A completely successful GUT would incor-
porate the strong nuclear interaction with this elec-
troweak interaction in an analogous way at some
higher temperature above 10
27
K.
Part of the motivation for a GUT is the lack of
explanation for many of the parameters and char-
acteristics of the standard model, and of the uni-
verse itself. For example, there is no explanation
for the baryon-anti-baryon asymmetry, which
means that there is more matter in the universe
than there is antimatter. There is also some positive
experimental support for a GUT, including equality
of the magnitude of the charges of the proton and
the electron and the non-zero rest-mass of the neu-
trino. Furthermore, GUT candidates generically
predict the decay of protons at some very slow
rate, as well as the presence of monopoles and
other topological defects, which are localized re-
gions in which the vacuum energy is different from
the rest of the universe (false vacuum). Observa-
tional limits on these phenomena are being used,
and will continue to be used, to identify the most
adequate GUT candidates.
From a cosmological point of view, the success
of a GUT would mean that at some very early stage
in the history of the universe—well before one sec-
ond after the Big Bang, when the temperature of
the universe was greater than 10
27
K—the physics
of the universe was characterized by just two in-
teractions: gravity and the GUT interaction. The
universe would have been much too hot for pro-
tons, neutrons, and electrons to exist, as they do at
lower temperatures. As the universe expanded, it
cooled. And, as it cooled below 10
27
K, the GUT
interaction split into the strong nuclear and the
electroweak interactions. A short time later—still
much less than one second after the Big Bang—
when the temperature had plummeted below 10
15
K, the electroweak interaction split further into the