Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000Bird, J. Malcolm (James Malcolm)
Philosophy
Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000
Bird, J. Malcolm (James Malcolm)
Relativity (Physics)
He contends that our room was being jarred by a system of
forces which exactly compensated and smoothed out the real jaggedness
of path observed by himself. But if we know all about his watch and
auto we can easily apply necessary corrections to his measurements,
and, fitting the corrected set to our reference-framework of walls
and clock, recover our own smooth description.
For consistency we must carry our readjustments farther. The path
mapped from our measurements is a curve. Perhaps the curvature was
introduced by some peculiarity of our reference framework? Possibly
our own room is being accelerated upward, so that it makes the ball's
true path--whatever that may be--appear curved downward, just as the
autoist's zigzags made the path he mapped appear jagged. Tradition
attributes the downward curving to the tug of gravity. This force we
say accelerates the ball downward, producing the curved path. Is this
the only possible explanation? Let us see.
GRAVITATION AND ACCELERATION
Imagine a man in a room out of which he cannot see. He notices that
when he releases anything it falls to the floor with a constant
acceleration. Further he observes that all his objects, independently
of their chemical and physical properties, are affected in precisely
the same way. Now, he previously has experimented with magnets, and
has remarked that they attract certain bodies in essentially the same
way that the things which he drops are "attracted" to whatever is
beneath the floor. Having explained magnetic attraction in terms of
"forces," he makes his first hypothesis: (A) He and his room are in
a strong "field of force," which he designates gravitational. This
force pulls all things downward with a constant acceleration. Here
he notes a singular distinction between magnetic and gravitational
"forces": magnets attract only a few kinds of matter, notably iron;
the novel "force," if indeed a force at all, acts similarly upon all
kinds of matter. He makes another hypothesis: (B) His room and he
are being accelerated upward.
Either (A) or (B) describes the facts perfectly. By no experiment
can he discriminate between them. So he takes the great step, and
formulates the Equivalence Hypothesis:
A gravitational field of force is precisely equivalent in its effects
to an artificial field of force introduced by accelerating the
framework of reference, so that in any small region it is impossible
to distinguish between them by any experiment whatever.
Next reconsidering his magnetic "forces," he extends the equivalence
hypothesis to cover all manifestations of force: The effects
attributed to forces of any kind whatever can be described equally
well by saying that our reference frameworks are accelerated; and
moreover there is possible no experiment which will discriminate
between the descriptions.
Public-domain text, read in full here on John Shaqi.
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