http://www.technologyreview.com/blog/arxiv/26333/

Cosmos At Least 250x Bigger Than Visible Universe, Say Cosmologists
The universe is much bigger than it looks, according to a study of the
latest observations.

When we look out into the Universe, the stuff we can see must be close
enough for light to have reached us since the Universe began. The
universe is about 14 billion years old, so at first glance it's easy
to think that we cannot see things more than 14 billion light years
away.

That's not quite right, however. Because the Universe is expanding,
the most distant visible things are much further away than that. In
fact, the photons in the cosmic microwave background have travelled a
cool 45 billion light years to get here. That makes the visible
universe some 90 billion light years across.

That's big but the universe is almost certainly much bigger. The
question than many cosmologists have pondered is how much bigger.
Today we have an answer thanks to some interesting statistical
analysis by Mihran Vardanyan at the University of Oxford and a couple
of buddies.

Obviously, we can't directly measure the size of the universe but
cosmologists have various models that suggest how big it ought to be.
For example, one line of thinking is that if the universe expanded at
the speed of light during inflation, then it ought to be 10^23 times
bigger than the visible universe.

Other estimates depend on a number factors and in particular on the
curvature of the Universe: whether it is closed, like a sphere, flat
or open. In the latter two cases, the Universe must be infinite.

If you can measure the curvature of the Universe, you can then place
limits on how big it must be.

It turns out that in recent years, astronomers have various ingenious
ways of measuring the curvature of the Universe. One is to search for
a distant object of known size and measure how big it looks. If it's
bigger than it ought to be, the Universe is closed; if it's the right
size, the universe is flat and if it's smaller, the Universe is open.

Astronomers know of one type of object that fits the bill: waves in
the early universe that became frozen in the cosmic microwave
background. They can measure the size of these waves, called baryonic
acoustic oscillations, using space observatories such as WMAP.

There are also other indicators, such as the luminosity of type 1A
supernovas in distant galaxies.

But when cosmologists examine all this data, different models of the
Universe give different answers to the question of its curvature and
size. Which to choose?

The breakthrough that Vardanyan and pals have made is to find a way to
average the results of all the data in the simplest possible way. The
technique they use is called Bayesian model averaging and it is much
more sophisticated than the usual curve fitting that scientists often
use to explain their data.

A useful analogy is with early models of the Solar System. With the
Earth at the centre of the Solar System, it gradually became harder
and harder to fit the observational data to this model. But
astronomers found ways to do it by introducing ever more complex
systems, the wheels-within-wheels model of the solar system.

We know now that this approach was entirely wrong. One worry for
cosmologists is that a similar process is going on now with models of
the Universe.

Bayesian model averaging automatically guards against this. Instead of
asking how well the model fits the data, its asks a different
question: given the data, how likely is the model to be correct. This
approach is automatically biased against complex models--it's a kind
of statistical Occam's razor.

In applying it to various cosmological models of the universe,
Vardanyan and co are able to place important constraints on the
curvature and size of the Universe. In fact, it turns out that their
constraints are much stricter than is possible with other approaches.

They say that the curvature of the Universe is tightly constrained
around 0. In other words, the most likely model is that the Universe
is flat. A flat Universe would also be infinite and their calculations
are consistent with this too. These show that the Universe is at least
250 times bigger than the Hubble volume. (The Hubble volume is similar
to the size of the observable universe.)

That's big, but actually more tightly constrained than many other models.

And the fact that it comes from such an elegant statistical method
means this work is likely to have broad appeal. If so, it may well end
up being used to fine tune and constraint other areas of cosmology
too.

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