I am, recollect, on the edge of the track, at an equal distance from
both pegs. When the front end of the coach coincides with the blue peg,
it sends toward my eye a certain ray of light (which, for convenience,
we will call the front ray), and this coincides with the luminous ray
coming to me from the blue peg. This front ray reaches my eye _at
the same time_ as a certain ray that comes from the back end of the
coach (which we will call the back ray). Does the back ray coincide
with the ray which comes to me from the red peg? Clearly not. The front
ray leaves the front end of the coach at the same speed as the back ray
leaves the back end; as any observer in the coach would find who cared
to try the Michelson experiment on them. But the front end of the coach
is receding from me while the back end is approaching me. Hence the
front ray travels toward my eye more slowly than the back ray, though
I cannot perceive this, as, when they reach me, I find that they both
have the same velocity. Hence the back ray, which reaches my eye at the
same time as the front ray, must have left the back end of the coach
later than the front ray left the front end of the coach. Therefore,
when I see the front end of the coach coincide with the blue peg, I
at the same time see the back end of the carriage _after_ it has
passed the red peg. Therefore the length of a coach travelling at full
speed, and such as it appears to me, is shorter than the distance
between the two pegs, which indicated the length of the coach at rest.
Q.E.D.
Very little attention is needed for any person to understand this
argument, though its elementary simplicity has not been attained
without difficulty. It is part of Einstein’s mathematical argument and
of his conception of simultaneity.
* * * * *
It follows that the coach, or, in general, any object, seems to
be contracted in virtue of its velocity, and in the direction of
that velocity, relatively to the spectator. The same thing happens,
obviously, if the observer moves in relation to the object, because we
can know only relative velocities, in virtue of the Classical Principle
of Relativity of Newton and Galileo.
In this new light the Lorentz-Fitzgerald contraction becomes
intelligible, or at least admissible. The contraction, thus considered,
is not the cause of the negative result of the Michelson experiment: it
is an effect of it. It is now quite clear, and we see that there was
something wrong with the classical way of estimating the instantaneous
dimension of objects.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account