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)
Einstein found, then, that by taking the properties of space, as given
by measurement, to be modified in the neighborhood of masses of matter,
he could devise general laws according to which gravitational effects
would be produced, and there would be no absolute rotation. All
forces will be the same whether a body rotates with everything
outside it fixed, or the body is fixed, and everything rotates
round it. All motion is then relative, and the theory is one of
"general relativity." The velocity of light is, however, no longer
constant, and its path is not a straight line, if it is passing near
gravitating matter. This does not contradict the special theory,
which did not allow for gravitation. Rather, the special theory is
a particular case to which the generalised theory reduces when there
is no matter about, just as the Newtonian dynamics is a special case
of the special theory, which we obtain when all velocities are small
compared to that of light.
XXII
THE GENERAL THEORY
Fragments of Particular Merit on This Phase of the Subject
BY VARIOUS CONTRIBUTORS
When Dorothy was carried by the cyclone from her home in Kansas to the
land of Oz, together with her uncle's house and her little dog Toto,
she neglected to lower the trap door over the hole in the floor which
formerly led to the cyclone cellar and Toto stepped through. Dorothy
rushed to the opening expecting to see him dashed onto the rocks below
but found him floating just below the floor. She drew him back into
the room and closed the trap.
The author of the chronicle of Dorothy's adventures explains that the
same force which held up the house held up Toto but this explanation
is not necessary. Dorothy was now floating through space and house
and dog were subject to the same forces of gravitation which gave
them identical motions. Dorothy must have pushed the dog down onto the
floor and in doing so must herself have floated to the ceiling whence
she might have pushed herself back to the floor. In fact gravitation
was apparently suspended and Dorothy was in a position to have tried
certain experiments which Einstein has never tried because he was
never in Dorothy's unique position.]188
The Principle of Equivalence, of which Einstein's suspended cage
experiment is the usual illustration, and upon which the generalized
theory of relativity is built, is thus stated by Prof. Eddington: "A
gravitational field of force is precisely equivalent to an artificial
field of force, so that in any small region it is impossible, by any
conceivable experiment, to distinguish between them. In other words,
force is purely relative."
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