THE SOURCE OF STELLAR ENERGY
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The difference of temperature between terrestrial and stellar conditions
seems quite inadequate to account for any appreciable stimulation of
transmutation or annihilation of matter; and this is the chief ground on
which censorship of our theories is likely. For example, it is held that the
formation of helium from hydrogen would not be appreciably accelerated
at stellar temperatures, and must therefore be ruled out as a source of
stellar energy. But the helium which we handle must have been put to
gether at some time and some place. We do not argue with the critic who
urges that the stars are not hot enough for this process; we tell him to go
and find a hotter place.
Indeed the formation of helium is necessarily so mysterious that we
distrust all predictions as to the conditions required. The attention paid
to temperature, so far as it concerns the cookery of the helium atom, seems
to neglect the adage “First catch your hare....” How the necessary
materials of 4 mutually repelling protons and 2 electrons can be gathered
together in one spot, baffles imagination. One cannot help thinking that
this is one of the problems in which the macroscopic conception of space
has ceased to be adequate, and that the material need not be at the same
place (macroscopically regarded) though it is linked by a relation of
proximity more fundamental than the spatial relation.
According to one line of thought we should only expect liberation of
subatomic energy on a large scale if the electrons had great speed;
it is not very clear how the fast electrons are expected to operate, but
there is always the chance that if the electron were endowed with enough
energy it might do something surprising. At stellar temperatures the mean
speed is small compared with /3 rays, so that there is not much chance of
a surprise. There must be some electrons in a Maxwellian distribution with
speeds considerably in excess of the mean, but this makes no great difference.
So far as temperature speed is concerned there will be in the whole of the
sun only one electron or ion with an energy as high as 5.10~ 7 ergs; compare
this with the energy of the fastest /3 particles 30.10~ 7 ergs, or of the fastest
a particles 130.10“ 7 ergs. It would seem that there are no particles in a
star of energy great enough to provoke subatomic processes except, of
course, those shot out by the processes themselves. 210
210. If local electric fields are formed by circulation in the interior
of a star as they are in our atmosphere, it is possible that the electrons
may acquire speeds higher than the temperature speeds and so work more
damage. In this connection reference must be made to an idea brought
forward by C. T. R. Wilson*. Ordinarily the maximum energy which a
particle can acquire in an electric field corresponds to the drop of potential
in its own free path. If we start with a slow-moving ¡3 particle in our
* Proc. Camb. Phil. Soc. 22, p. 534 (1924).