This week, Dr Alastair Wilson introduces a philosophical puzzle arising out of the nature of chance.
We live in a world with a
pronounced arrow of time running from the past to the future. Eggs crack but
don't uncrack, milk can't be unmixed from coffee, and all living things age and
die. Puzzlingly, though, our best physical theories tell us that the
fundamental laws of nature are nearly all temporally symmetric. If a
fundamental physical process is possible, then an appropriate time-reversal of
that process is also generally physically possible*. How can our world of
temporally asymmetric processes result from a set of fundamental laws which our
best physics says are largely time-symmetric?
One important part of this
puzzle concerns objective chance: real probabilities in nature. It seems that
events in the future are often chancy in a way that events in the past are not:
it may still be a matter of chance what the weather will be like next month,
but it's not a matter of chance what it's like right now. We may be uncertain
about the present whether, but it isn't objectively probabilistic. How, in
particular, does this asymmetry of chance arise?
One bold answer derives from
the work of Ludwig Boltzmann (1844-1906). Boltzmann's idea traces the source of
the time asymmetry we observe to a very special initial state, which is in a
rigorous sense extremely orderly: technically, the initial state has
exceptionally low entropy. Since the initial state is assumed to obtain at the
beginning of the universe but not at the end, we recover an asymmetry in
processes that go on in between.
But Boltzmann's answer can't
be the whole story about the temporal asymmetry of chance. The low-entropy
initial state is compatible with deterministic theories like classical mechanics,
according to which the state of the universe at one time fixes the state of the
universe at every time. This wouldn't allow for any temporal asymmetry of
chances, on the usual philosophical understanding of chance: the chance of any
given event occurring would always be either 1 or 0, and it wouldn't change
over time.
*(There is a fascinating exception involving the weak nuclear force, which has recently been experimentally verified by an amazing experiment called BABAR - but that violation of time symmetry isn't able to produce the radical asymmetries we see in the world around us.)
Alastair Wilson, Birmingham
Fellow in Philosophy