The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
The Atom of Action. Remembering that action has two ingredients,
namely, energy and time, we must look about in Nature for a definite
quantity of energy with which there is associated some definite
period of time. That is the way in which without artificial section a
particular lump of action can be separated from the rest of the action
which fills the universe. For example, the energy of constitution of
an electron is a definite and known quantity; it is an aggregation
of energy which occurs naturally in all parts of the universe. But
there is no particular duration of time associated with it that we
are aware of, and so it does not suggest to us any particular lump
[Pg 183]
of action. We must turn to a form of energy which has a definite and
discoverable period of time associated with it, such as a train of
light-waves; these carry with them a unit of time, namely, the period
of their vibration. The yellow light from sodium consists of aethereal
vibrations of period 510 billions to the second. At first sight we seem
to be faced with the converse difficulty; we have now our definite
period of time; but how are we to cut up into natural units the energy
coming from a sodium flame? We should, of course, single out the light
proceeding from a single atom, but this will not break up into units
unless the atom emits light discontinuously.
It turns out that the atom does emit light discontinuously. It sends
out a long train of waves and then stops. It has to be restarted by
some kind of stimulation before it emits again. We do not perceive this
intermittence in an ordinary beam of light, because there are myriads
of atoms engaged in the production.
The amount of energy coming away from the sodium atom
during any one of these discontinuous emissions is found to be
.
This energy is, as we have seen, marked by a distinctive
period . We have thus the two
ingredients necessary for a natural lump of action. Multiply them
together, and we obtain .
That is the quantity .
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