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)
BY E. T. BELL
UNIVERSITY OF WASHINGTON
SEATTLE
Einstein's general relativity is of such vast compass, being
coextensive with the realm of physical events, that in any brief
account a strict selection from its numerous aspects is prescribed. The
old, restricted principle being contained in the general, we shall
treat the latter, its close relations with gravitation, and the
significance of both for our knowledge of space and time. The essence
of Einstein's generalization is its final disentanglement of that
part of any physical event which is contributed by the observer from
that which is inherent in the nature of things and independent of
all observers.
The argument turns upon the fact that an observer must describe any
event with reference to some framework from which he makes measurements
of time and distance. Thus, suppose that at nine o'clock a ball is
tossed across the room. At one second past nine the ball occupies a
definite position which we can specify by giving the three distances
from the centre of the ball to the north and west walls and the
floor. In this way, refining our measurements, we can give a precise
description of the entire motion of the ball. Our final description
will consist of innumerable separate statements, each of which contains
four numbers corresponding to four measurements, and of these one
will be for time and three for distances at the time indicated.
Imagine now that a man in an automobile looks in and observes the
moving ball. Suppose he records the motion. To do so, he must refer to
a timepiece and some body of reference. Say he selects his wrist-watch,
the floor of his auto and two sides meeting in a corner. Fancy that
just as he begins his series of observations his auto starts bucking
and the main-spring of his watch breaks, so that he must measure
"seconds" by the crazy running-down of his watch, and distances with
reference to the sides of his erratic auto. Despite these handicaps
he completes a set of observations, each of which consists of a
time measured by his mad watch and three distances reckoned from
the sides of his bucking machine. Let us assume him to have been so
absorbed in his experiment that he noticed neither the disorders
of his watch nor the motion of his auto. He gives us his sets of
measurements. We remark that his seconds are only small fractions
of ours, also his norths and wests are badly mixed. If we interpret
his sets in terms of our stationary walls and sober clock we find
the curious paradox that the ball zigzagged across the room like an
intoxicated bee. He obstinately argues that we know no more than he
about how the ball actually moved. For we got a smooth description,
he asserts, by choosing an artificially simple reference framework,
having no necessary relations whatever to the ball. The crooked
path plotted from his observations proves, he declares, that the
ball was subject to varying forces of which we in the room suspected
nothing.
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