In the Newtonian system, bodies under the action of no forces move in
straight lines with uniform velocity; when bodies do not move in this
way, their change of motion is ascribed to a “force.” Some forces seem
intelligible to our imagination: those exerted by a rope or string,
by bodies colliding, or by any kind of obvious pushing or pulling. As
explained in an earlier chapter, our apparent imaginative understanding
of these processes is quite fallacious; all that it really means is
that past experience enables us to foresee more or less what is going
to happen without the need of mathematical calculations. But the
“forces” involved in gravitation and in the less familiar forms of
electrical action do not seem in this way “natural” to our imagination.
It seems odd that the earth can float in the void: the natural thing
to suppose is that it must fall. That is why it has to be supported on
an elephant, and the elephant on a tortoise, according to some early
speculators. The Newtonian theory, in addition to action at a distance,
introduced two other imaginative novelties. The first was, that
gravitation is not always and essentially directed what we should call
“downwards,” _i.e._, towards the center of the earth. The second was,
that a body going round and round in a circle with uniform velocity is
not “moving uniformly” in the sense in which that phrase is applied to
the motion of bodies under no forces, but is perpetually being turned
out of the straight course towards the center of the circle, which
requires a force pulling it in that direction. Hence Newton arrived at
the view that the planets are attracted to the sun by a force, which is
called gravitation.
This whole point of view, as we have seen, is superseded by relativity.
There are no longer such things as “straight lines” in the old
geometrical sense. There are “straightest lines,” or geodesics, but
these involve time as well as space. A light ray passing through
the solar system does not describe the same orbit as a comet, from
a geometrical point of view; nevertheless each moves in a geodesic.
The whole imaginative picture is changed. A poet might say that water
runs down hill because it is attracted to the sea, but a physicist or
an ordinary mortal would say that it moves as it does, at each point,
because of the nature of the ground at that point, without regard to
what lies ahead of it. Just as the sea does not cause the water to run
towards it, so the sun does not cause the planets to move round it. The
planets move round the sun because that is the easiest thing to do—in
the technical sense of “least action.” It is the easiest thing to do
because of the nature of the region in which they are, not because of
an influence emanating from the sun.
Public-domain text, read in full here on John Shaqi.
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