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)
The method of establishing these identifications will be clear from the
following: We already knew that matter is made up of electrons and that
radiant energy is electromagnetic and before the advent of this theory
it was regarded as certain that practically all observed physical
phenomena except gravitation were manifestations of the electromagnetic
field. The new theory has confirmed this belief. It is found that
the gravitational and electromagnetic conditions of the universe are
completely defined if to each point of space-time a gravitational and
an electric potential are ascribed. These are magnitudes of the same
nature as the direction-defining and length-defining magnitudes which
must necessarily be associated with every point of space-time if it
is a true "space," and they are therefore identified with these. By
performing ordinary mathematical operations on these magnitudes
statements of fact clothed in mathematical form are obtained, which are
to be interpreted on the one hand as physical laws and on the other
as geometrical properties of the fourspace. Nearly all our physical
laws are derivable mathematically in this way, so that an extensive
identification is effected which has been fruitful of results.
It has been mentioned that a slight curvature is sometimes cognised
as force and as this identification appeared originally as a postulate
its history is interesting.
THE GENESIS OF THE THEORY
An experiment by Michelson and Morley (1887), on which the whole theory
is based, made it appear that if a man measures the velocity at which
light passes him he will get the same result whether he is stationary,
rushing to meet the light, or moving in the same direction as the
light. The solution was provided by Einstein in 1905. He suggested that
since we know the results of these determinations ought not to agree,
something must have happened to the clocks and measuring-rods used in
measuring the velocity so that the standards of length and time were
not the same in the three cases, the alterations being exactly such as
to make the velocity of light constant. This solution is universally
accepted as true and is the fundamental postulate. Thus the length of
a stick and the rate at which time passes will change as the velocity
of the person observing these things changes. If a man measured the
length of an aeroplane going past him at 161,000 miles per second it
would measure only half the length observed when stationary. If the
aeroplane were going with the velocity of light, its length would
vanish though its breadth and height would be unaltered. Similarly,
if of two twin brothers one were continually moving with reference
to the other their ages would gradually diverge, for time would go at
different rates for the two. If one moved with the velocity of light,
time would stand still for him while for the other it would go on as
usual. To get actually younger it would be necessary to move quicker
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