To take the most conspicuous instance of all, there are no stars at
all to the left of the main-sequence in the Russell diagram (fig. 22),
until we come to the quite detached group of white dwarfs. Why are
there no stars in intermediate conditions? Why, to make the example
still more precise, does no star exist of the same colour as Sirius but
with only a tenth of its luminosity? Why do we have to go down to the
white dwarf ο₂ Eridani _B_, with a luminosity of only a ten-thousandth
of that of Sirius, before we can find a star to match Sirius in colour?
A hypothesis which occurs naturally to the mind is that the
main-sequence stars and the white dwarfs may form distinct groups
because they are of entirely different ages—they may represent distinct
creations. As stars age they decrease in weight and in luminosity, so
that it is natural to interpret the small weights and extremely low
luminosity of the white dwarfs as evidence of an age far greater than
the age of the normal main-sequence stars. Yet this hypothesis does not
appear to be tenable.
With the single exception of van Maanen’s star, every star which is
either known or suspected to be a white dwarf forms one component of a
binary system, and in every case its companion is a main-sequence star
or (in the case of ο Ceti) a red giant. We have already seen how rare
it is for two stars to approach near to one another in space. It must
be an almost inconceivably rare event for two stars, originally moving
as independent bodies, so to meet in their random wanderings, that the
big one “captures” the little one, and they henceforth journey together
through space. For it can be shewn that, for such an event to occur,
something more than a close approach is needed; a close approach must
take place in the presence of yet a third star, so that no fewer than
three stars must chance to come near one another simultaneously in
their wanderings through the vast emptinesses of space. It is almost
inconceivable that this should happen in a single instance, but it is
straining the probabilities too far to suppose that it has happened in
the case of every single known white dwarf but one. Thus we have to
suppose that the white dwarfs and their more normal companions have
been together since birth, and so were born at the same time out of the
same nebula.
The difference between white dwarfs and main-sequence stars cannot,
then, be a mere difference of age, and it would seem as though there
must be some physical reason militating against the existence of stars
in intermediate conditions. Taking a more general view of the question,
we are led to investigate whether the absence of stars built to certain
specifications can be attributed to such stars needing physical
properties which nature cannot provide. This leads directly into the
general question of the structure and mechanism of the stars.
THE INTERNAL CONSTITUTION OF THE STARS
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