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)
Considere o texto a seguir para responder
a questão.
Tooth fairy quantum mechanics
The reason I can’t show you a Higgs boson1
is also
the solution to a parental dilemma.
Posted by Jon Butterworth
Sunday 23 December 2012 18.36 GMT, theguardian.com
I do sometimes get asked “If you’ve found a Higgs boson,
can you show me a picture of it?” Unfortunately, the answer
is no. But the reason for this provides a resolution to a severe
parental dilemma, and explains why I am in fact sometimes
the tooth fairy. Bear with me.
I can’t show you something which is definitely the new
boson, but I can show evidence for it, for example in the
picture below. It shows the distribution (black dots) of the
mass you get when you combine the energy and momenta2
of pairs of photons (particles of light) in the ATLAS detector.
The bump shows that there are more of these photon pairs
at masses corresponding to around 125 GeV than would be
expected from the trend. This excess implies the existence
of a particle at about this mass which decays to pairs of
photons.
The bump3
in this plot would not be there unless there
were a new boson (credit, ATLAS experiment and CERN). The
key is that even if I show you a collision event with a pair
of photons which exactly gives the “Higgs mass”, i.e. at the
top of that peak, it is still not possible to be sure that this
exact pair of photons came from a Higgs boson. There may
be several possible ways of producing a set of new particles
from the incoming ones; but if the resulting set is identical,
it is not physically meaningful to say which way occurred.
Now, to the parental dilemma. It is especially acute at this
time of year, but if you have children who are losing their
milk teeth, it is ever-present. Is the tooth fairy real? What
about Father Christmas? Do you spoil the fun or do you lie?
Something in me hates the idea of lying to my kids, and
undermining4
trust. Here’s my way out. Anything which has
the same initial state (tooth) and final state (money) might in
fact be an event in which a tooth fairy was present. To put it
another way, anything which removes the tooth and delivers
money shares such an essential property with a tooth fairy
that it can be said to be one (anything removing both teeth
and money is probably a dentist. Or possibly a mugger5
).
By now, my son doesn’t believe a word of it of course.
But in the early days it was the truth. We managed this
transition without lies, betrayal and tears because actually,
when tiptoeing into the bedroom with a shiny pound coin, I
really am the tooth fairy. I am of course also at the same time
Dad. This seemed to work, and now he’s older, it’s still fun.
It’s not much of stretch to extend this to Father Christmas,
and it also explains why sometimes Father Christmas uses
the same wrapping paper as your parents - he and they are,
in a sense, indistinguishable quantum possibilities for the
delivery process.
(theguardian.com/science/life-and-physics/2012/dec/23/tooth-fairy-quantum-mechanics Acesso em: 26.08.2013. Adaptado)
Glossário
1Higgs boson: partícula subatômica teórica que ficou conhecida
publicamente após ter sido divulgada como a “partícula de Deus”.
Sua existência é associada a pesquisas acerca da origem do universo.
(topics.nytimes.com/top/reference/timestopics/subjects/h/higgs_boson/index.html
Acesso em 02.10.2013. Adaptado)
2momenta: plural de momentum – conceito físico associado à
quantidade de movimento de uma partícula.
3bump: choque ou elevação.
4undermine: tornar algo gradativamente mais fraco, especialmente
a confiança ou autoridade de alguém.
5mugger: assaltante.
Segundo as indicações do texto, o gráfico apresentado