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)
Now the earth is moving in its orbit about the sun with a velocity
of 18 miles per second. If the earth moves through the ether and a
light-beam passes from one mirror to another and back again, the time
taken for this journey ought to be longer when the light-path is in
the direction of the earth's motion than when it is at right angles
to this direction. For we can consider the light as a swimmer having
a speed of 186,000 miles per second and travelling in a stream whose
current is 18 miles per second.
When Michelson and Morley tried the experiment they could not observe
any difference in the velocity of light in the two directions. The
experiment has since been repeated under various conditions, but
always with negative results.
Einstein's contribution to science consists in interpreting this
result as being in accord with Newton's ideas on mechanical relativity
in that it demonstrates the impossibility of measuring absolute
motion, not only by mechanical, but also by optical or electrical
experiments. Consequently the velocity of light must be regarded as
constant and independent of the motion of either source or observer.
THE RELATIVITY OF UNIFORM MOTION
Let us consider some of the consequences which follow from this
principle. An observer travelling with say one-half the velocity
of light in the same direction as a ray of light would find that the
latter has the usual velocity of 186,000 miles per second. Similarly an
observer travelling in the opposite direction to that of the light-ray,
with one-half the velocity of light, would obtain the same result.
Einstein has shown that these conclusions can be valid only if the
units of time and space used by the two observers depend upon their
relative motions. A careful calculation shows that the unit of length
used by either observer appears to the other observer contracted
when placed in the direction of their relative motion (but not,
when placed at right angles to this direction), and the unit of time
used by either observer appears to the other too great. Moreover, the
ratio of the units of length or of time varies with the square of the
relative speed of the two observers, according to a relation which is
similar to that mentioned above for the swimmer in the current. This
relation shows that as the relative speed approaches that of light
the discrepancy between the units increases.
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.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account