The second argument against absolute space and time—namely, that they
are unnecessary hypotheses—has turned out to be valid; but it is only
in quite recent times that Newton's argument to the contrary has been
refuted. The argument, as everyone knows, was concerned with absolute
rotation. It is urged that, for "absolute rotation," we may substitute
"rotation relatively to the fixed stars." This is formally correct,
but the influence attributed to the fixed stars savours of astrology,
and is scientifically incredible. Apart from this special argument,
the whole of the Newtonian technique is based upon the assumption
that there is such a quantity as absolute acceleration; without this,
the system collapses. That is one reason why the law of gravitation
cannot enter unchanged into the general theory of relativity. There
are, of course, two distinct elements in the theory of relativity: one
of them the merging of space and time into space-time—is wholly new,
while the other—the substitution of relative for absolute motion—has
been attempted ever since the time of Leibniz. But this older problem
could not be solved by[Pg 18] itself, because of the necessity for absolute
acceleration in Newtonian dynamics. Only the method of tensors, and the
new law of gravitation obtained in accordance with this method, have
made it possible to answer Newton's arguments for absolute space and
time. While, therefore, the contention that these are unnecessary would
always have been a valid ground for rejecting them if it had been known
to be true, it is only now that we can be confident of its correctness,
since it is only now that we possess a mathematical technique which is
in accordance with it.
Public-domain text, read in full here on John Shaqi.
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