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)
2
100%0% 25% 50% 75%
Fraction of queens face up
FIG. 2: According to quantum theory, a card perfectly b al-
anced on its edge will fall down in what is known as a “su-
perposition” — the card really is in two places at once. If a
gambler bets money on the queen landing face up, her own
state changes to become a superposition of two possible out-
comes — winning or losing the bet. In either of these parallel
worlds, the gambler is unaware of the other outcome and feels
as if the card fell randomly. If the gambler repeats this game
four times in a row, there will be 16 (2 × 2 × 2 × 2) possible
outcomes, or parallel worlds. In most of these worlds, it will
seem that q ueens occur randomly, with about 50% probabil-
ity. Only in two worlds will all four cards land the same way
up. If the game is continued many more times, almost every
gambler in each of the worlds will conclude that the laws of
probability apply even though th e underlying physics is not
random and, as Einstein would have put it, “God does not
play dice”.
many more ”undecided” [3]. I believe the upwards trend
is clear.
Why the change? I think there are several reasons.
Predictions of other types of para llel universes from co s-
mological inflation and string theory have increased tol-
erance for weird-sounding ideas. New experiments have
demonstrated quantum weirdness in ever larg er systems.
Finally, the discovery of a process known as decoherence
has a nswered crucial questions that Everett’s work had
left dang ling.
For example, if these parallel universes exist, then why
don’t we perceive them? Quantum superpositions can-
not be confined – as most quantum experiments are – to
the microworld. Beca use you are made o f atoms , then if
atoms can be in two places at once in superposition, so
can you (Figure 1).
The breakthrough came in 1970 with a seminal paper
by H. Dieter Zeh, who showed that the Schr¨odinger equa-
tion itself gives rise to a type of censorship. This effect
became known as “decoherence ”, and was worked out in
great detail by Wojciech Zurek, Zeh and others over the
following decades. Quantum superpositions were found
to remain observable only as long as they were kept secret
from the rest of the world. The quantum card in Figure 2
is constantly bumping into air molecules, photons, and
so on, which thereby find out whether it has fallen to
the left or to the right, destroying the coherence of the
supe rp osition and making it unobservable. Decoherence
also explains why states resembling classical physics have
sp e c ial status: they are the most robust to decoherence.
Science of philosophy?
The main motivation for introducing the no tion of ran-
dom wavefunction collapse into quantum physics had
been to e xplain why we perceive probabilities and not
strange macroscopic superpositions . After Everett had
shown that things wo uld appear rando m anyway (Fig-
ure 2) and decoherence had b e en found to explain why
we never perceived anything strange, much of this moti-
vation was gone. Even though the wavefunction techni-
cally never collapses in the Everett view, it is generally
agreed that decoherence produces an effect that looks like
a co llapse and smells like a collapse .
In my opinion, it is time to update the many quantum
textbooks that introduce wavefunction collapse as a fun-
damental postulate of quantum mechanics. The notion
of collapse still has utility as a calculational recipe, but
students should be told that it is probably not a funda-
mental proces s violating the Schr¨odinge r equation so as
to avoid any subsequent confusion. If you are consider-
ing a quantum textbook that does not mention “Everett”
and “decoherence” in the index, I recommend buying a
more modern one.
After 50 years we can c e le brate the fact that Everett’s
interpretation is still consistent with quantum observa-
tions, but we face another pressing question: is it science
or mere philosophy? The key point is that parallel uni-
verses are not a theory in themselves, but a prediction of
certain theories. For a theory to be falsifiable, we need
not observe and test all its predictions – one will do.
Because Einstein’s theory of General Relativity has
successfully predicted many things that we can observe,
we also take s eriously its predictions for things we can-
not, like the internal structure of black holes. Analo-
gously, successful pre dictio ns by unitary quantum me-
chanics have made scientists take more seriously its other
predictions, including parallel universes
Moreover, Everett’s theory is falsifiable by future lab
exp eriments: no matter how large a system they probe,
it s ays, they will not observe the wavefunction collapsing.