On the other hand this simplicity is acquired at a price. The
fundamental corner-stone of the whole theory of relativity is the
equal partnership of space and time in the sense already explained.
Einstein’s cosmology gains its simplicity only at the expense of
supposing that this equality of partnership disappears when we
view the cosmos as a whole. It supposes that space and time are
indistinguishable (in the purely formal sense already indicated)
only to a being whose experience is limited to a small fraction of
the universe; they become utterly distinct for a being who can range
through the whole of space and time. It is not altogether clear how
much weight ought to be attached to this objection, if objection it
is. Real space and real time undoubtedly are distinct. Even if we
deny the reality of both, they still remain distinguishable as modes
of perception. What reproach, then, can it be to a cosmology that it
admits that, in the last resort, when the universe is contemplated
on the grand scale, space and time resolve themselves into distinct
types of entity? Somehow we knew it already, before ever we began to
contemplate the universe on the grand scale.
Whatever the answer to this last question may be, de Sitter’s cosmology
avoids all possible reproach by maintaining the equal partnership of
space and time, not only in individual fractions of the cosmos, but
throughout the cosmos as a whole. It will of course be understood that
we are still speaking of equal partnership in the purely formal sense
already explained, a light-year entering the cosmology on the same
footing as the square-root of -1 years. Even de Sitter’s cosmology does
not pretend that a light-year (9·46 million million kilometres) is the
same thing as twelve months.
Although Einstein’s main theory of relativity has been amply confirmed
by observation, the cosmological part of it did not predict any special
features such as permitted of a direct observational test. De Sitter’s
cosmology, on the other hand, predicted that the spectra of all distant
objects must shew a displacement towards the red, of amount depending
on the distance of the object. The equal partnership of space and time
results in the vibrations of the light-waves emitted by any specified
source being slower in distant than in near parts of the universe;
the stream of time rolls more rapidly just where we happen to be than
anywhere else. This sounds paradoxical at first, but examination shews
that it is not; de Sitter is not asking us to return to a geocentric
universe, because he shews that the inhabitant of a distant star would
also find that terrestrial atoms were keeping slower time than his own.
The paradox is completely resolved by the concept of the relativity of
all measures of space and time.
Public-domain text, read in full here on John Shaqi.
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