In a word, to get rid of the apparent effects of gravitation in any
place whatever it is enough for the observer to acquire a properly
accelerated velocity. That is what Einstein calls the “principle
of equivalence”: equivalence of the effects of weight and of an
accelerated movement. The one cannot be distinguished from the other.
Let us imagine Jules Verne’s projectile and its unfortunate passengers
transported a long distance from the moon, the earth, and the sun,
to some deserted and glacial region of the Milky Way where there is
no matter, and so remote from the stars that there is no longer any
weight or attraction. Let us suppose that our projectile is abandoned
there, and motionless. It is clear that in these circumstances there
will be no such thing as high or low—no such thing as weight—for the
passengers. They will find themselves relieved of every inconvenience
of weight. They may, if they choose, stand on the inner wall of the
upper part of the projectile or on the floor, as it was when they were
falling upon the moon.
Now let us suppose that the wizard Merlin quietly approaches and,
fastening a cord to the ring on the top of the projectile, begins to
drag it with a uniformly accelerated movement. What will happen to the
passengers? They will notice that they have suddenly recovered their
weight, and that they are riveted to the floor of the projectile,
much as they were drawn to the surface of our planet before they left
it. Indeed, if the motion of Merlin is accelerated 981 centimetres a
second, they will have exactly the same sensations of weight as they
had on the earth.
They will notice that if they throw a plate into the air at a given
moment, it will fall upon the floor and be broken. “This is,” they
will think, “because we are again subject to weight. The plate falls
in virtue of its weight, its inert mass.” But Merlin will say: “The
plate falls because, on account of its inertia, it has retained the
increasing velocity which it had at the moment when it was thrown.
Immediately afterwards, as I drew the projectile with an accelerated
movement, the ascending velocity of the projectile was greater than
that of the plate. That is why the bottom of the projectile, in its
accelerated ascending course, knocked against the plate and broke it.”
This proves that the weight or gravitation of a body is
indistinguishable from its inertia. Inert mass and heavy mass are not,
as Newton supposed, two things which happen by some extraordinary
coincidence to be equal; they are identical and inseparable. The two
things are really one.
And we are thus led to believe that the laws of weight and the laws
of inertia, the laws of gravitation and those of mechanics, must be
identical, or must at least be two modalities of one and the same
thing: much as the full face and the profile of the same man are the
same face seen under two different angles.
Public-domain text, read in full here on John Shaqi.
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