The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
You will say that the earth must certainly get into the right position
for the eclipse next June (1927); so it cannot be free to go anywhere
it pleases. I can put that right. I hold to it that the earth goes
anywhere it pleases. The next thing is that we must find out
where it has been pleased to go. The important question for us is not
where the earth has got to in the inscrutable absolute behind the
phenomena, but where we shall locate it in our conventional background
of space and time.
Fig. 6
We must take measurements of its position, for example, measurements
of its distance from the sun. In Fig. 6, shows the ridge in
the world which we recognise as the sun; I have drawn the earth’s ridge
in duplicate because I imagine it as still undecided
which track it will take. If it takes we lay our measuring
rods end to end down the ridges and across the valley from to
, count up the number, and report the result as the earth’s
distance from the sun. The measuring rods, you will remember, adjust
their lengths proportionately to the radius of curvature of the world.
The curvature along this contour is rather large and the radius of
[Pg 150]
curvature small. The rods therefore are small, and there will be more
of them in than the picture would lead you to expect. If the
earth chooses to go to the curvature is less sharp; the greater
radius of curvature implies greater length of the rods. The number
needed to stretch from to will not be so great as the
diagram at first suggests; it will not be increased in anything like
the proportion of to in the figure. We should not
be surprised if the number turned out to be the same in both cases. If
so, the surveyor will report the same distance of the earth from the
sun whether the track is or . And the Superintendent
of the Nautical Almanac who published this same distance some years in
advance will claim that he correctly predicted where the earth would go.
And so you see that the earth can play truant to any extent but our
measurements will still report it in the place assigned to it by the
Nautical Almanac. The predictions of that authority pay no attention
to the vagaries of the god-like earth; they are based on what will
happen when we come to measure up the path that it has chosen. We
shall measure it with rods that adjust themselves to the curvature
of the world. The mathematical expression of this fact is the law of
gravitation used in the predictions.
Public-domain text, read in full here on John Shaqi.
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