The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
I am disinclined to accept this excuse. I say severely, “It is all
nonsense dragging in the earth or Betelgeuse or any other body. You
do not require any standard external to the problem. I told you to
measure the distance of two points on the blackboard; you should have
made the motion of the scale agree with that of the blackboard. Surely
it is commonsense to make your measuring scale move with what you are
measuring. Remember that next time.”
A few days later I ask them to measure the wave-length of sodium
light—the distance from crest to crest of the light waves. They do
so and return in triumphal agreement: “The wave-length is infinite”.
I point out to them that this does not agree with the result given in
the book (.000059 cm.). “Yes”, they reply, “we noticed that; but the
man in the book did not do it right. You told us always to make the
measuring scale move with the thing to be measured. So at great trouble
and expense we sent our scales hurtling through the laboratory at the
same speed as the light.” At this speed the FitzGerald contraction
[Pg 25]
is infinite, the metre rods contract to nothing, and so it takes an
infinite number of them to fill up the interval from crest to crest of
the waves.
My supplementary rule was in a way quite a good rule; it would always
give something absolute—something on which they would necessarily
agree. Only unfortunately it would not give the length or distance.
When we ask whether distance is absolute or relative, we must not first
make up our minds that it ought to be absolute and then change the
current significance of the term to make it so.
Nor can we altogether blame our predecessors for having stupidly made
the word “distance” mean something relative when they might have
applied it to a result of spatial measurement which was absolute and
unambiguous. The suggested supplementary rule has one drawback. We
often have to consider a system containing a number of bodies with
different motions; it would be inconvenient to have to measure each
body with apparatus in a different state of motion, and we should
get into a terrible muddle in trying to fit the different measures
together. Our predecessors were wise in referring all distances to
a single frame of space, even though their expectation that such
distances would be absolute has not been fulfilled.
As for the absolute quantity given by the proposed supplementary rule,
we may set it alongside distances relative to the earth and distances
relative to Betelgeuse, etc., as a quantity of some interest to study.
It is called “proper-distance”. Perhaps you feel a relief at getting
hold of something absolute and would wish to follow it up. Excellent.
But remember this will lead you away from the classical scheme of
physics which has chosen the relative distances to build on.
[Pg 26]
The quest of the absolute leads into the four-dimensional world.
Public-domain text, read in full here on John Shaqi.
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