The nature of the physical worldEddington, Arthur Stanley, Sir
Philosophy
The nature of the physical world
Eddington, Arthur Stanley, Sir
Physics -- Philosophy; Science -- Philosophy
We shall suppose that you are on another star moving with different
velocity but passing close to the earth at the present moment. You
and I were far apart in the past and will be again in the future, but
we are both Here-Now. That is duly shown in the picture. We survey
the world from Here-Now, and of course we both see the same events
simultaneously. We may receive rather different impressions of them;
our different motions will cause different Doppler effects, FitzGerald
[Pg 45]
contractions, etc. There may be slight misunderstandings until we
realise that what you describe as a red square is what I would describe
as a green oblong, and so on. But, allowing for this kind of difference
of description, it will soon become clear that we are looking at the
same events, and we shall agree entirely as to how the Seen-Now lines
lie with respect to the events. Starting from our common Seen-Now
lines, you have next to make the calculations for drawing your Now line
among the events, and you trace it as shown in Fig. 3.
[Pg 46]
How is it that, starting from the same Seen-Now lines, you do not
reproduce my Now line? It is because a certain measured quantity, viz.
the velocity of light, has to be employed in the calculations; and
naturally you trust to your measures of it as I trust to mine. Since
our instruments are affected by different FitzGerald contractions,
etc., there is plenty of room for divergence. Most surprisingly we
both find the same velocity of light, 299,796 kilometres per second.
But this apparent agreement is really a disagreement; because you take
this to be the velocity relative to your planet and I take it to be the
velocity relative to mine.[2] Therefore our calculations are not in
accord, and your Now line differs from mine.
If we believe our world-wide instants or Now lines to be something
inherent in the world outside us, we shall quarrel frightfully. To my
mind it is ridiculous that you should take events on the right of the
picture which have not happened yet and events on the left which are
already past and call the combination an instantaneous condition of
the universe. You are equally scornful of my grouping. We can never
agree. Certainly it looks from the picture as though my instants were
more natural than yours; but that is because I drew the picture.
You, of course, would redraw it with your Now lines at right angles to
yourself.
[Pg 47]
But we need not quarrel if the Now lines are merely reference lines
drawn across the world for convenience in locating events—like the
lines of latitude and longitude on the earth. There is then no question
of a right way and a wrong way of drawing the lines; we draw them
as best suits our convenience. World-wide instants are not natural
cleavage planes of time; there is nothing equivalent to them in the
absolute structure of the world; they are imaginary partitions which we
find it convenient to adopt.
Public-domain text, read in full here on John Shaqi.
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