These results were already reached by Lorentz in the course of further
developments of his electron theory. Lorentz used a special set of
transformation equations[2] for time which implicitly introduced the
concept of local time. But he himself failed to attach any special
significance to it, and looked upon it rather as a mere mathematical
artifice like imaginary quantities in analysis or the circle at infinity
in projective geometry. The originality of Einstein at this stage
consists in his successful physical interpretation of these results, and
viewing them as the coherent organised consequences of a single general
principle. Lorentz established the Relativity Theorem[3] (consisting
merely of a set of transformation equations) while Einstein generalised
it into a Universal Principle. In addition Einstein introduced
fundamentally new concepts of space and time, which served to destroy
old fetishes and demanded a wholesale revision of scientific concepts
and thus opened up new possibilities in the synthetic unification of
natural processes.
Newton had framed his laws of motion in such a way as to make them quite
independent of the absolute velocity of the earth. Uniform relative
motion of ether and matter could not be detected with the help of
dynamical laws. According to Einstein neither could it be detected with
the help of optical or electromagnetic experiments. Thus the Einsteinian
Principle of Relativity asserts that all physical laws are independent
of the ‘absolute’ velocity of an observer.
For different systems, the _form_ of all physical laws is conserved. If
we chose the velocity of light[4] to be the fundamental unit of
measurement for all observers (that is, assume the constancy of the
velocity of light in all systems) we can establish a _metric_ “one-one”
correspondence between any two observed systems, such correspondence
depending only the _relative_ velocity of the two systems. Einstein’s
Relativity is thus merely the consistent logical application of the well
known physical principle that we can know nothing but _relative_ motion.
In this sense it is a further extension of Newtonian Relativity.
On this interpretation, the Lorentz-Fitzgerald contraction and “local
time” lose their arbitrary character. Space and time as measured by two
different observers are naturally diverse, and the difference depends
only on their relative motion. Both are equally valid; they are merely
different descriptions of the same physical reality. This is essentially
the point of view adopted by Minkowski. He considers time itself to be
one of the co-ordinate axes, and in his four-dimensional world, that is
in the space-time reality, relative motion is reduced to a rotation of
the axes of reference. Thus, the diversity in the measurement of lengths
and temporal rates is merely due to the static difference in the
“frame-work” of the different observers.
Public-domain text, read in full here on John Shaqi.
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