In de Sitter’s original form of this cosmology, light would take an
infinite time to travel round the universe, and this would prevent any
object being seen by light which had travelled the long way round.
This results from de Sitter having considered only the ideal case of
a universe entirely empty of all matter. With even a little matter in
the universe, the path of a ray of light would presumably bend back on
itself and return to its starting point after a finite time. It has
been quite seriously suggested that two faint nebulae (_h_ 3433 and
_M_ 83) may actually be our two nearest neighbours in the sky, _M_ 33
and _M_ 31, seen the long way round space. If so, we see the fronts of
two objects when we look at _M_ 33 and _M_ 31, and the backs of the
same two objects when we point our telescopes in exactly the opposite
directions and look at _h_ 3433 and _M_ 83. No doubt this is only a
conjecture, and perhaps rather a wild one, but many more startling
conjectures have been made in astronomy, and subsequently proved to be
true.
All these discussions of the structure of space are of course highly
speculative, but they agree in suggesting the general conclusion
that, if we cannot yet see the whole of space, we can at least survey
an appreciable fraction of it. Our astronomer-explorers may not as
yet have circumnavigated the globe, but they are perhaps discovering
America, and we can well imagine that even the next generation will
have completed the circumnavigation of space, and will think of a
finite but unbounded space in the same way, and with the same ease, as
we think of the finite but unbounded surface of the earth.
A MODEL OF THE UNIVERSE
We found it difficult enough to visualise the 4¼ light-years which
constitute the distance to the nearest star, so we may be well advised
not even to attempt to visualise this last distance of thousands of
millions of light-years, the conjectured circumference of the universe.
Yet we may try to see all these distances in proper proportion relative
to one another by the help of a model drawn to scale. We can escape the
effort of trying to imagine unimaginably great distances by keeping the
scale very small.
The earth, travelling 1200 times faster than an express train, makes
a journey of 600 million miles around the sun every year. Let us
represent this journey by a pin-head ¹/₁₆ of an inch in diameter. This
fixes the scale of our model; the sun has shrunk to a minute speck of
dust ¹/₃₄₀₀ of an inch in diameter, while the earth is a still more
minute speck which is too small to be seen at all even in the most
powerful of microscopes. On this scale the nearest star in the sky,
Proxima Centauri, must be placed about 225 yards away, and to contain
even the hundred stars nearest to our sun in space, the model must be a
mile high, a mile long and a mile wide.
Public-domain text, read in full here on John Shaqi.
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