Essays on the use and limit of the imagination in scienceTyndall, John
Science
Essays on the use and limit of the imagination in science
Tyndall, John
Science
time that your ether is matter, dense, elastic, and capable of motions
subject to and determined by mechanical laws. What then do you expect
to find as the source of a series of ether waves? Ask your imagination
if it will accept a vibrating multiple proportion--a numerical ratio in
a state of oscillation? I do not think it will. You cannot crown the
edifice by this abstraction. The scientific imagination, which is here
authoritative, demands as the origin and cause of a series of ether
waves a particle of vibrating matter quite as definite, though it may
be excessively minute, as that which gives origin to a musical sound.
Such a particle we name an atom or a molecule. I think the seeking
intellect when focussed so as to give definition without penumbral
haze, is sure to realise this image at the last.
To preserve thought continuous throughout this discourse, to prevent
either lack of knowledge or failure of memory from producing any rent
in our picture, I here propose to run rapidly over a bit of ground
which is probably familiar to most of you, but which I am anxious
to make familiar to you all. The waves generated in the ether by
the swinging atoms of luminous bodies are of different lengths and
amplitudes. The amplitude is the width of swing of the individual
particles of the wave. In water-waves it is the height of the crest
above the trough, while the length of the wave is the distance between
two consecutive crests. The aggregate of waves emitted by the sun may
be broadly divided into two classes: the one class competent, the
other incompetent, to excite vision. But the light-producing waves
differ markedly among themselves in size, form, and force. The length
of the largest of these waves is about twice that of the smallest,
but the amplitude of the largest is probably a hundred times that of
the smallest. Now the force or energy of the wave, which, expressed
with reference to sensation, means the intensity of the light, is
proportional to the square of the amplitude. Hence the amplitude being
one-hundredfold, the energy of the largest light-giving waves would
be ten-thousandfold that of the smallest. This is not improbable. I
use these figures not with a view to numerical accuracy, but to give
you definite ideas of the differences that probably exist among the
light-giving waves. And if we take the whole range of solar radiation
into account--its non-visual as well as its visual waves--I think it
probable that the force or energy of the largest wave is a million
times that of the smallest.
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