The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
There is really nothing mysterious about the FitzGerald contraction.
It would be an unnatural property of a rod pictured in the old way as
continuous substance occupying space in virtue of its substantiality;
but it is an entirely natural property of a swarm of particles held
[Pg 7]
in delicate balance by electromagnetic forces, and occupying space by
buffeting away anything that tries to enter. Or you may look at it
this way: your expectation that the rod will keep its original length
presupposes, of course, that it receives fair treatment and is not
subjected to any new stresses. But a rod in motion is subjected to a
new magnetic stress, arising not from unfair outside tampering but as
a necessary consequence of its own electrical constitution; and under
this stress the contraction occurs. Perhaps you will think that if the
rod were rigid enough it might be able to resist the compressing force.
That is not so; the FitzGerald contraction is the same for a rod of
steel and for a rod of india-rubber; the rigidity and the compressing
stress are bound up with the constitution in such a way that if one is
large so also is the other. It is necessary to rid our minds of the
idea that this failure to keep a constant length is an imperfection of
the rod; it is only imperfect as compared with an imaginary “something”
which has not this electrical constitution—and therefore is not
material at all. The FitzGerald contraction is not an imperfection but
a fixed and characteristic property of matter, like inertia.
We have here drawn a qualitative inference from the electrical
structure of matter; we must leave it to the mathematician to calculate
the quantitative effect. The problem was worked out by Lorentz and
Larmor about 1900. They calculated the change in the average spacing of
the particles required to restore the balance after it had been upset
by the new forces due to the change of motion of the charges. This
calculation was found to give precisely the FitzGerald contraction,
i.e. the amount already inferred from the experiments above mentioned.
[Pg 8]
Thus we have two legs to stand on. Some will prefer to trust the
results because they seem to be well established by experiment; others
will be more easily persuaded by the knowledge that the FitzGerald
contraction is a necessary consequence of the scheme of electromagnetic
laws universally accepted since the time of Maxwell. Both experiments
and theories sometimes go wrong; so it is just as well to have both
alternatives.
Public-domain text, read in full here on John Shaqi.
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