The stars differ from one another in mass, that is to say, in
the quantity of material gathered together to form them; but the
differences are not so large as we might have expected from the great
variety in brightness. We cannot always find out the mass of a star,
but there are a fair number of stars for which the mass has been
determined by astronomical measurements. The mass of the sun is--I will
write it on the blackboard--
2000000000000000000000000000 tons
I hope I have counted the 0’s rightly, though I dare say you would not
mind much if there were one or two too many or too few. But Nature
_does_ mind. When she made the stars she evidently attached great
importance to getting the number of 0’s right. She has an idea that
a star should contain a particular amount of material. Of course she
allows what the officials at the mint would call a ‘remedy’. She may
even pass a star with one 0 too many and give us an exceptionally
large star, or with one 0 too few, giving a very small star. But these
deviations are rare, and a mistake of two 0’s is almost unheard of.
Usually she adheres much more closely to her pattern.
[Illustration: Fig. 5. IONIZATION BY X-RAYS]
[Illustration: Fig. 6. IONIZATION BY COLLISION]
How does Nature keep count of the 0’s? It seems clear that there must
be something inside the star itself which keeps check and, so to speak,
makes a warning protest as soon as the right amount of material has
been gathered together. We think we know how it is done. You remember
the ether waves inside the star. These are trying to escape outwards
and they exert a pressure on the matter which is caging them in. This
outward force, if it is sufficiently powerful to be worth considering
in comparison with other forces, must be taken into account in any
study of the equilibrium or stability of the star. Now in all small
globes this force is quite trivial; but its importance increases with
the mass of the globe, and it is calculated that at just about the
above mass it reaches equal status with the other forces governing
the equilibrium of the star. If we had never seen the stars and were
simply considering as a curious problem how big a globe of matter
could possibly hold together, we could calculate that there would be
no difficulty up to about two thousand quadrillion tons; but beyond
that the conditions are entirely altered and this new force begins to
take control of the situation. Here, I am afraid, strict calculation
stops, and no one has yet been able to calculate what the new force
will do with the star when it does take control. But it can scarcely be
an accident that the stars are all so near to this critical mass; and
so I venture to conjecture the rest of the story. The new force does
not _prohibit_ larger mass, but it makes it risky. It may help a
moderate rotation about the axis to break up the star. Consequently
larger masses will survive only rarely; for the most part stars will be
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