Another difficulty; have we really the right to speak of the cause of a
phenomenon? If all the parts of the universe are interchained in a
certain measure, any one phenomenon will not be the effect of a single
cause, but the resultant of causes infinitely numerous; it is, one often
says, the consequence of the state of the universe a moment before. How
enunciate rules applicable to circumstances so complex? And yet it is
only thus that these rules can be general and rigorous.
Not to lose ourselves in this infinite complexity, let us make a simpler
hypothesis. Consider three stars, for example, the sun, Jupiter and
Saturn; but, for greater simplicity, regard them as reduced to material
points and isolated from the rest of the world. The positions and the
velocities of three bodies at a given instant suffice to determine their
positions and velocities at the following instant, and consequently
at any instant. Their positions at the instant t determine their
positions at the instant _t_ + _h_ as well as their positions at the
instant _t_ - _h_.
Even more; the position of Jupiter at the instant _t_, together with
that of Saturn at the instant _t_ + _a_, determines the position of
Jupiter at any instant and that of Saturn at any instant.
The aggregate of positions occupied by Jupiter at the instant _t_ + _e_
and Saturn at the instant _t_ + _a_ + _e_ is bound to the aggregate of
positions occupied by Jupiter at the instant _t_ and Saturn at the
instant _t_ + _a_, by laws as precise as that of Newton, though more
complicated. Then why not regard one of these aggregates as the cause of
the other, which would lead to considering as simultaneous the instant
_t_ of Jupiter and the instant _t_ + _a_ of Saturn?
In answer there can only be reasons, very strong, it is true, of
convenience and simplicity.
XII
But let us pass to examples less artificial; to understand the
definition implicitly supposed by the savants, let us watch them at work
and look for the rules by which they investigate simultaneity.
I will take two simple examples, the measurement of the velocity of
light and the determination of longitude.
When an astronomer tells me that some stellar phenomenon, which his
telescope reveals to him at this moment, happened, nevertheless, fifty
years ago, I seek his meaning, and to that end I shall ask him first how
he knows it, that is, how he has measured the velocity of light.
He has begun by _supposing_ that light has a constant velocity, and in
particular that its velocity is the same in all directions. That is a
postulate without which no measurement of this velocity could be
attempted. This postulate could never be verified directly by
experiment; it might be contradicted by it if the results of different
measurements were not concordant. We should think ourselves fortunate
that this contradiction has not happened and that the slight
discordances which may happen can be readily explained.
Public-domain text, read in full here on John Shaqi.
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