It is not quite clear why the man who uses forces with a conventional
geometry should be regarded as making a "mistake," while the man who
says that free particles travel in geodesics, and to justify himself
has a queer geometry, is thought to be saying something substantially
more accurate.[Pg 77] It is true that we must not conceive "force" as an
actual agency, as the older mechanics did; it is merely part of
the method of describing how bodies move. But as soon as this is
recognized, it is a mere question of convenience whether we speak of
forces or not. Let it be conceded that the method of the general theory
of relativity is better from a logico-æsthetic point of view; I do not
see, however, why we should regard it as any more "true." I am not
considering, at the moment, the fact that Einstein's law of gravitation
gives a slightly more accurate picture of the phenomena than Newton's,
since this is not really relevant to the particular point at issue.
Let us now consider Dr Whitehead's view, which is, on this point, the
opposite of Professor Eddington's. In the Preface to The Principle
of Relativity,[1] he says:
"As the result of a consideration of the character of our knowledge in
general, and of our knowledge of nature in particular, ... I deduce
that our experience requires and exhibits a basis of uniformity, and
that in the case of nature this basis exhibits itself as the uniformity
of spatio-temporal relations. This conclusion entirely cuts away the
casual heterogeneity of these relations which is the essential of
Einstein's later theory. It is this uniformity which is essential to
my outlook, and not the Euclidean geometry which I adopt as lending
itself to the simplest exposition of the facts of nature. I should be
very willing to believe that each permanent space is either uniformly
elliptic or uniformly hyperbolic, if any observations are more simply
explained by such a hypothesis. It is inherent in my theory to maintain
the old division between physics and geometry. Physics is the science
of the contingent relations of nature, and geometry expresses its
uniform relatedness."
[Pg 78]
Again, in discussing the structure of space-time, he says (ib.,
p. 29):
"The structure is uniform because of the necessity for knowledge
that there be a system of uniform relatedness, in terms of which the
contingent relations of natural factors can be expressed. Otherwise we
can know nothing until we know every thing."
And on p. 64:
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.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account