Einstein, the searcher : $b his work explained from dialogues with EinsteinMoszkowski, Alexander
Philosophy
Einstein, the searcher : $b his work explained from dialogues with Einstein
Moszkowski, Alexander
Einstein, Albert, 1879-1955; Relativity (Physics)
EINSTEIN: It follows from the mathematical calculations which I
presented in "Cosmological Considerations arising from the General
Theory of Relativity," in which the figure I have just quoted is not
given. The exact figure is a minor question. What is important is to
recognize that the universe may be regarded as a closed continuum as far
as distance-measurements are concerned. Another point, too, must not be
forgotten. If, in deference to your wish, I used an easy illustration,
this must not be regarded otherwise than as an improvised bridge to
assist the imagination.
M.: Nevertheless, it will be very welcome to many, who are unable to
grasp the difficult Cosmological Considerations. The number that you
mention is overwhelming in the extreme. Indeed, it seems to me that a
diameter of 100 million light-years suggests an infinitely great
distance more than the word "infinity" itself, mentioned _per
definitionem_, which conveys nothing to the ordinary mind. It calls up a
regular carnival of numbers, particularly in those to whom the immense
number alone gives a certain pleasure. But you were going to give me the
number expressing the mass, too?
And then I learned that the weight of the whole universe, expressed in
grammes, was 10 multiplied by itself 54 times, that is 10^54 (453
grammes = 1 lb., roughly). This seems rather disappointing at first, but
assumes a different aspect when we represent to ourselves what this
figure signifies. It means that the weight of the universe in
kilogrammes is high in the octillions. The earth itself weighs six
quadrillion kilogrammes, hence the weight of the Einstein universe bears
the same relation to the weight of the whole earth as the latter bears
to a kilogramme. Again, the earth's weight to that of the sun is as 1 is
to 324,000. Hence we should have to take at least a trillion, that is, a
milliard times a milliard, suns to get the weight of the universe. And
as far as the linear extent is concerned, let us consider the most
distant stars of the Milky Way, which are at an inconceivable distance,
expressible only in light-years. If we place 10,000 such Milky Ways end
to end we shall arrive at this diameter of the universe, which,
accordingly, will have a cubical content a thousand milliard times
greater than the region accessible to astronomical observation.
Public-domain text, read in full here on John Shaqi.
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