The evolution of scientific thought from Newton to EinsteinD'Abro, A. (Aram)
Science
The evolution of scientific thought from Newton to Einstein
D'Abro, A. (Aram)
Relativity (Physics); Science -- Methodology
One thing is certain. We could no longer attribute an invariant length
to the pole. This length would no longer be immanent in the pole,
since it is impossible to discover an invariant expression of spatial
length holding for all observers, hence independent of their existence.
We cannot, therefore, escape the conclusion that spatial length by
itself can have no more universal existence than the apparent height
or visual angle of classical science. Unless we abandon all hope of
discovering a something universally objective, we much search for
some substitute for that absolute spatial distance in which classical
science believed.[72]
Minkowski found that such an absolute could be constructed; but it
was made up of the relative length and duration under which every
observer perceived any two instantaneous events. In exactly the
same way as classical science had constructed the absolute spatial
magnitude, so now Minkowski constructed the absolute space-time
magnitude, i.e., the Einsteinian interval. Objectivity is at
last rediscovered, though this objectivity refers neither to space
magnitudes nor to durations, but to a combination of both. In other
words, the analogue of the absolute objective length of the pole in
classical science is now given by the absolute objective space-time
interval. The analogue of the relative visual angle, or apparent height
of the pole, of classical science is given by its relativistic length
as measured by the observer; and this length is no more an illusion
than was the visual angle. By omitting to analyse the meaning of his
words, the critic has argued as though the visual angle, or apparent
height, in classical science were an illusion. But the visual angle is
not an illusion. The illusion arises only from faulty inferences, when,
having identified visual angle with apparent height, we then proceed to
confuse the apparent height with the real height of the pole, thereby
crediting it with too short a length. It is this last confusion that
is unjustified, for it amounts to confusing visual angle, or apparent
height (which, though real for the individual, has no universal
significance, hence which is relative) with real length (which is
absolute in classical science).
In the same way the FitzGerald contraction is not an illusion. It can
be measured, and manifests itself physically in every conceivable
manner. But again it is a relative for the very concept of spatial
magnitude is essentially a relative, since, according to our motion,
it will have one value or another. That which is absolute, that which
endures unchanged, is the Einsteinian interval; and unless we wish
to continue to talk about such shadows as space and time, it is in
the space-time world and there alone that we shall obtain universal
objectivity.
Public-domain text, read in full here on John Shaqi.
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