The laws of sequence in physics, apart from quantum phenomena, are of
two sorts, which appeared in traditional dynamics as laws of velocity
and laws of acceleration. In a very short time, the velocity of a
body alters very little, and if the time is taken short enough, the
change of velocity diminishes without limit. This is what, in the last
chapter, we called an “intrinsic” causal law. Then there is the effect
of the outer world, as it appeared in traditional dynamics, which
is shown in acceleration. The small change which does occur in the
velocity in a short time is attributed to surrounding bodies, because
it is found to vary as they vary, and to vary according to ascertained
laws. Thus we think of surrounding bodies as exerting an influence,
which we call “force”, though this remains as mysterious as the
influence of the stars in astrology.
Einstein’s theory of gravitation has done away with this conception in
so far as gravitational forces are concerned. In this theory, a planet
moving round the sun is moving in the nearest approach to a straight
line that the neighbourhood permits. The neighbourhood is supposed to
be non-Euclidean, that is to say, to contain no straight lines such
as Euclid imagined. If a body is moving freely, as the planets do, it
observes a certain rule. Perhaps the simplest way to state this rule
is as follows: Suppose you take any two events which happen on the
earth, and you measure the time between them by ideally accurate clocks
which move with the earth. Suppose some traveller on a magic carpet had
meanwhile cruised about the universe, leaving the earth at the time of
the first event and returning at the time of the second. By his clocks
the period elapsed will be less than by the terrestial clocks. This is
what is meant by saying that the earth moves in a “geodesic”, which
is the nearest approach to a straight line to be found in the region
in which we live. All this is, so to speak, geometrical, and involves
no “forces”. It is not the sun that makes the earth go round, but the
nature of space-time where the earth is.
Even this is not quite correct. Space-time does not make the earth go
round the sun; it makes us _say_ the earth goes round the sun. That is
to say, it makes this the shortest way of describing what occurs. We
could describe it in other language, which would be equally correct,
but less convenient.
The abolition of “force” in astronomy is perhaps connected with the
fact that astronomy depends only upon the sense of sight. On the
earth, we push and pull, we touch things, and we experience muscular
strains. This all gives us a notion of “force”, but this notion is
anthropomorphic. To imagine the laws of motion of heavenly bodies,
think of the motions of objects in a mirror; they may move very fast,
although in the mirror world there are no forces.
Public-domain text, read in full here on John Shaqi.
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