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 correlation of time with its geometrical analogue is of absorbing
interest. Representing velocity by the common method of plotting
a curve showing positions at various times and marking distances
horizontally and times vertically, the velocity of light being 1,
$MM'$ and $NN'$ will both represent this velocity. Since this is
assumed to be the greatest velocity occurring in nature, all other
possible velocities are represented by lines falling within the upper
and lower V's. Now this diagram correctly represents two dimensions
of Minkowski's Euclidean four-space so, transmuting to real but flat
four-space by multiplying times by $\sqrt{-1}$, it is seen that there
is a region outside which no effect can be propagated from $O$ since
that would involve the existence of a velocity greater than that of
light. This region represents the future of $O$. Similarly, $O$ can
only be affected by events within the region derived from the
downward-opening V, which therefore represents the past of $O$.
The region between the two represents events which may be either
simultaneous with $O$ or not, according to the velocity of the
observer at $O$. Thus in this theory an event dictated by free-will,
could affect points in its "future" region, but not in any other,
which agrees with experience and shows that the theory is not
essentially "determinist." If "free-will" is really free, the future
is not yet determined, and the fourspace must be in some way formed
by the will as time progresses.
The trains of thought inspired by Einstein's postulates have already
carried us to a pinnacle of knowledge unprecedented in the history of
man. On every hand, as we look out upon the universe from our new and
lofty standpoint, unexpected and enthralling vistas open up before us,
and we find ourselves confronting nature with an insight such as no
man has ever before dared aspire to.
It is completely unthinkable that this theory can ever be swept
aside. Apart from experimental verifications which, in point of fact,
lend it the strongest support, no one could work through the theory
without feeling that here, in truth, the inner workings of the universe
were laid bare before him. The harmony with nature is far too complete
for any doubt to arise of its truth.
XVI
THE QUEST OF THE ABSOLUTE
Modern Developments in Theoretical Physics, and the Climax Supplied
by Einstein
BY DR. FRANCIS D. MURNAGHAN,
JOHNS HOPKINS UNIVERSITY
BALTIMORE
We shall discuss the more important aspects of the theory popularly
known as the "Einstein Theory of Gravitation" and shall try to show
clearly that this theory is a natural outcome of ideas long held by
physicists in general. These ideas are:
(a) The impossibility of "action at a distance;" in other words we
find an instinctive repugnance to admit that one body can affect
another, remote from it, instantaneously and without the existence
of an intervening medium.
Public-domain text, read in full here on John Shaqi.
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