So Urbain is thankful for the new model atom, and says that “Bohr, in
reviving our hopes, is a great benefactor.” Adding, “It seems necessary
either to resign ourselves to not understanding, as Bohr has done, or
to resign ourselves to a model in flagrant violation with experience.”
Those sufficiently resigned to not understanding I now ask to return
with me for a short and final visit to those suburban stellar districts
situated some three hundred thousand light-years from our sun, where
matter is moving ever faster and faster away from us. By a strange
contradiction, time in those regions seems to be moving slower and
slower, as if tired with the long journey and no longer able to keep
up the killing pace set by the stars. Light, too, appears to be
losing the race. Professor Michelson, of the University of Chicago,
established the velocity of light not long ago at 299,796 kilometers
per second--roughly 186,000 miles. But now Monsignor E. J. Gheury
de Braye, in an article in _L’Astronomie_, official organ of the
Astronomical Society of France, declares that the velocity of light
decreases by four kilometers every second. We may perhaps grasp a
moment’s understanding by saying that this is relativity, that light
merely travels slower in comparison with the quickened pace of time and
matter in the outer stellar spaces.
This, however, will not serve us long, for W. de Sitter, the Dutch
astronomer, taking all these things into consideration, must needs
offer an “explanation.”
“The world of de Sitter,” says Wirtz in summing it up, “is a
four-dimensional continuum of space and time, forming the surface of a
sphere in five-dimensional co-ordinates.”
If you look wise and pretend in scientific circles that you understand
this, you go to the foot of the class. A four-dimensional sphere with
a surface in five-dimensional co-ordinates does not pretend to be
comprehensible. To declare it to be graspable by the human mind is to
insult it. But it can be used in equations, like any other “imaginary”
quantity, though--again like any other imaginary quantity--it is quite
unimaginable.
Imaginary quantities are not such awesome nonentities. Anybody can
make a few for himself and play with them as well as can anybody else.
Let us take nothing to begin with, thus--0. Write a 2 under it--0/2.
We have now one-half of nothing. Now multiply a cipher by 2, and we
have twice nothing, or 2(0)--not for a moment to be confounded with
twenty. Then one half of 2(0), or twice nothing, equals two times 0/2,
or one-half of nothing, because each is equal to nothing at all and
things which are equal to the same thing are equal to each other--and
for various other reasons.
Public-domain text, read in full here on John Shaqi.
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