The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
The writing-down of lengths for balance-sheet purposes is the
FitzGerald contraction. The shortening of the moving rod is
true, but it is not really true. It is not a statement
about reality (the absolute) but it is a true statement about
appearances in our frame of reference.[1] An object has different
lengths in the different space-frames, and any 6-foot man will have a
length 3 feet in some frame or other. The statement that the length of
the rapid traveller is 3 feet is true, but it does not indicate any
special peculiarity about the man; it only indicates that our adopted
frame is the one in which his length is 3 feet. If it hadn’t been ours,
it would have been someone else’s.
Perhaps you will think we ought to alter our method of keeping the
accounts of space so as to make them directly represent the realities.
That would be going to a lot of trouble to provide for what are after
all rather rare transactions. But as a matter of fact we have managed
to meet your desire. Thanks to Minkowski a way of keeping accounts
has been found which exhibits realities (absolute things) and
balances. There has been no great rush to adopt it for ordinary
purposes because it is a four-dimensional balance-sheet.
Let us take a last glance back before we plunge into four dimensions.
[Pg 35]
We have been confronted with something not contemplated in classical
physics—a multiplicity of frames of space, each one as good as any
other. And in place of a distance, magnetic force, acceleration, etc.,
which according to classical ideas must necessarily be definite and
unique, we are confronted with different distances, etc., corresponding
to the different frames, with no ground for making a choice between
them. Our simple solution has been to give up the idea that one of
these is right and that the others are spurious imitations, and
to accept them en bloc; so that distance, magnetic force,
acceleration, etc., are relative quantities, comparable with other
relative quantities already known to us such as direction or velocity.
In the main this leaves the structure of our physical knowledge
unaltered; only we must give up certain expectations as to the
behaviour of these quantities, and certain tacit assumptions which
were based on the belief that they are absolute. In particular a law
of Nature which seemed simple and appropriate for absolute quantities
may be quite inapplicable to relative quantities and therefore require
some tinkering. Whilst the structure of our physical knowledge is not
much affected, the change in the underlying conceptions is radical. We
have travelled far from the old standpoint which demanded mechanical
models of everything in Nature, seeing that we do not now admit even
a definite unique distance between two points. The relativity of the
current scheme of physics invites us to search deeper and find the
absolute scheme underlying it, so that we may see the world in a truer
perspective.
Public-domain text, read in full here on John Shaqi.
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