Two quantitative considerations may help to shew these processes in
a clearer light. We have seen that the sun’s present store of atoms
would, at the present rate of breakage, last for 15 million million
years. This means that every year only one atom in 15 million million
is broken, a fraction which may seem absurdly small to produce the
sun’s vast continuous outpourings of energy. Let us, however, reflect
that the energy which is continually pouring out of the sun’s surface
at the rate of about 50 horse-power per square inch is generated
throughout the vast interior of the sun’s body; the stream of energy
which emerges from a square inch of surface is the concentration of
all the energy generated in a cone of a square inch cross-section,
but of 433,000 miles depth. Such a cone contains about 10³³ atoms, and
although only one in 15 million million is broken each year, there are
still about two million million atoms destroyed each second.
Even so, the amount of energy set free by the annihilation of matter is
rather surprising; it is of an entirely different order of magnitude
from that made available by any other treatment. The combustion of a
ton of the best coal in pure oxygen liberates about 5 × 10¹⁶ ergs of
energy; the annihilation of a ton of coal liberates 9 × 10²⁶ ergs,
which is 18,000 million times as much. In the ordinary combustion
of coal we are merely skimming off the topmost cream of the energy
contained in the coal, with the consequence that 99·999999994 per cent.
of the total weight remains behind in the form of smoke, cinders or
ash. Annihilation leaves nothing behind; it is a combustion so complete
that neither smoke, ash, nor cinders is left. If we on earth could
burn our coal as completely as this, a single pound would keep the
whole British nation going for a fortnight, domestic fires, factories,
trains, power-stations, ships and all; a piece of coal smaller than a
pea would take the _Mauretania_ across the Atlantic and back.
Purely astronomical evidence has led to the conclusion that atoms
are continually being annihilated in the sun and stars. Here we
have a piece of the puzzle which fits perfectly on to those we
tentatively fitted together in the last chapter. As we there saw,
recent investigations in mathematical physics suggest that the
highly penetrating radiation received on earth has its origin in the
annihilation of matter out in space. And the amount of this radiation
received on earth is so great that we had to suppose the underlying
annihilation of matter to be one of the fundamental processes of the
universe; we now discover that it is in all probability the process
which keeps the sun and stars shining and the universe alive.
Public-domain text, read in full here on John Shaqi.
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