The question whether, in such a theory, there is "action at a distance"
is really one of words. The formula by which we determine what will
happen in a given region will contain references to distant regions,
and it may be said that this is all we can mean by "action at a
distance." To mean more, it may be said, is to regard causality as
something more than correlation, which there can be no reason for
doing. If what happens in one place is correlated with what happens
in another, we may be told, nothing more could be imagined in the way
of action at a distance. But this is not quite what[Pg 328] in fact occurs.
What happens in one place is not correlated with what happens
in another place, but with another place, which is a different
thing. Different neighbourhoods have different characters, and the
differences can be represented by a combination of formulæ which are
spherically symmetrical. This is not action at a distance, but action
according to a distance; there is nothing that cam properly be
called an effect of one thing upon another at a distance from it. Thus
so far, pending the discussion of interval, we have found nothing that
cam properly be described as am extrinsic causal law.
Electromagnetic phenomena, if we accept Weyl's theory, will not
differ importantly, so far as our present question is concerned,
from gravitation. An electromagnetic field will be represented by
gauge-relations between points in a neighbourhood, and there will be
no ground for supposing that one piece of matter influences another;
all that we can say is that a piece of matter corresponds to a metrical
state of affairs which makes the geodesics different from what they
would otherwise be. The motion of an electron or proton is then due to
the peculiarities of the metrical state of affairs where it is, not
to something even so near as the hydrogen nucleus is to its planetary
electron.
But what are we to say of the emission and absorption of light? It is
clear that whenever we perceive light we absorb it, that is to say,
the energy in the waves of light (or light-quanta?) that hit the eye
is transformed into a different kind of energy, though I should not
venture to say what kind. Therefore all visual percepts involve this
process of absorbing light. And if perception can ever be a source of
knowledge as to things outside the percipient's body, there must be
causal laws connecting what happens to the percipient with what goes on
outside. It is, of course, obvious that there are such laws; we cannot
revive Leibniz's windowless monads. The process of absorption and
emission of light will serve as a[Pg 329] special case, about which we have
considerable knowledge, in which we can hope to analyze exactly what
occurs.
Public-domain text, read in full here on John Shaqi.
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