At this point we may state that neither Newton, nor any of Newton's
successors including Einstein, have been able to advance even a
plausible theory as to the nature of this gravitational force. We
know that this force pulls a stone to the ground; we know, thanks
to Newton, the laws regulating the motions due to gravity; but what
this force we call gravity really is we do not know. The mystery is
as deep as the mystery of the origin of life.
"Prof. Einstein," writes Prof. Eddington, "has sought, and has not
reached, any ultimate explanation of its [that is, gravitation]
cause. A certain connection between the gravitational field and the
measurement of space has been postulated, but this throws light rather
on the nature of our measurements than on gravitation itself. The
relativity theory is indifferent to hypotheses as to the nature of
gravitation, just as it is indifferent to hypotheses as to the nature
of light."
Newton's Laws of Motion. In his Principia Newton begins with a series
of simple definitions dealing with matter and force, and these are
followed by his three famous laws of motion. The nature and amount
of the effort required to start a body moving, and the conditions
required to keep a body in motion, are included in these laws. The
Fundamentals, mass, time and space, are exhibited in their various
relationships. Of importance to us particularly is that in these laws,
time and space are considered as definite entities, and as two distinct
and widely separated manifestations. We shall see that in Einstein's
hands a very close relationship between these two is brought about.
Both Newton and Einstein were led to their theory of gravitation
by profound studies of the mathematics of motion, but as Newton's
conception of motion differed from Einstein's, and as, moreover,
important discoveries into the nature of matter and the relationship
of motion to matter were made subsequent to Newton's time, we need not
wonder that the two theories show divergence; that, as we shall see,
Newton's is probably but an approximation of the truth. If we confine
our attention to our own solar system, the deviation from Newton's
law is, as a rule, so small as to be negligible.
Newton's laws of motion are really axioms, like the axioms of Euclid:
they do not admit of direct proof; but there is this difference,
that the axioms of Euclid seem more obviously true. For example,
when Euclid informs us that "things which are equal to the same
thing are equal to one another," we have no hesitation in accepting
this statement, for it seems so self-evident. When, however, we are
told by Newton that "the alteration of motion is ever proportional
to the motive force impressed," we are at first somewhat bewildered
with the phraseology, and then, even when that has been mastered,
the readiness with which we respond will probably depend upon the
amount of scientific training we have received.
Public-domain text, read in full here on John Shaqi.
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