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)
In short, the universe is regarded as a space-time continuum of four
dimensions. A "point" in space-time is called an "event"--that which
occurs at a specified moment and at a specified place. The distance
between two points in space-time is called their "interval." All
observers will agree as to the magnitude of any interval, since it
is a property of the objective universe; but they will disagree as
to its composition in space and time separately. In short, space
and time are relative conceptions; their relativity is a necessary
consequence of the relativity of motion. The paradox named at the
outset is overcome; for the two observers measuring the velocity of
the light produced as they passed one another, were using different
units of space and time. And hence emerges triumphant the Special
Principle of Relativity, which states that the laws of nature are
the same for all observers, whether they are in a state of rest or
of uniform motion in a straight line.
ACCELERATED MOTION
Uniform motion in a straight line is however a very special kind of
motion. Our experience in ordinary life is of motions that are neither
uniform nor in a straight line; both speed and direction of motion
are altering. The moving body is then said to undergo "acceleration":
which means either that its speed is increasing or diminishing, or
that its direction of motion is changing, or both. If we revert to our
former supposition of a universe in which there is only a single body
in "empty" space, we clearly cannot say whether it has acceleration
any more than whether it is moving, there being no outside standard
of comparison; and the General Principle of Relativity asserts the
invariance of the laws of nature for all states of motion of the
observer. In this case, however, a difference might be detected
by an observer on the moving body itself. It would be manifested
to him as the action of a force; such for instance as we feel when
a train in which we are traveling is increasing or reducing speed,
or when, without changing speed, it is rounding a corner. The force
dies away as soon as the velocity becomes uniform. Thus acceleration
reveals itself to us under the guise of action by a force. Force and
acceleration go together, and we may either say that the acceleration
is due to the force, or the impression of force to the acceleration.
Public-domain text, read in full here on John Shaqi.
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