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| Orion by Johannes Hevelius, In public domain. |
My neighbour had a request for me
yesterday. He said he always wanted to know the names of the three
stars that were lined up in the East sky, with two stars on either side.
To be honest, I didn't know their names right away, although I did
know that he was referring to Orion's Belt. So instead of heading on
over to Wikipedia, I took a small detour and installed Stellarium
from the Ubuntu repositories. I adjusted the co-ordinates to match
our current location and then located Orion's belt. I took the laptop
over to my neighbour and showed him the program's simulation of the
night sky. I told him that the names of the stars were Alnitak,
Alnilam and Mintaka. Furthermore the reddish star on the left was
Betelgeuse and the white one on the right was Rigel. We then had a
discussion about the distances that separated these balls of flame
from our own little globe of blue and green. He had a difficult time
grasping the concept of a light year because he could not believe
that light had a speed, much less the distance travelled by light in a year. He probably posited that as an absurdity;
like the speed of smell. He was absolutely blown away by the idea
that we were now viewing Mintaka as it was 916 years ago; 916 years
in the past!
So I gave him a little thought
exercise. I asked him what the time was. He angled his hand into the
path of the fluorescent tube-light and reported that it was ten past
ten. So I explained that the light had travelled to his eye from his
source- the watch- and that his brain had interpreted the information
as the current time. However the distance between his eyes and the
watch is so small and the speed of light so great that the time delay
is negligible; almost instantaneous. However once you understand that
light carries visual data and given great distances (that takes light
itself, years!) between heavenly bodies, it becomes apparent that
instantaneous is now replaced by a time lag: the line between the
past, present and future becomes stark and no longer blurry. Now add
to the fact that gravity travels at the speed of light, it would
technically mean that we wouldn't be tossed out of our orbit if the
Sun were to blink out. It would take 8 minutes I reckon!
Later, I was mulling over Arthur
Clarke's brilliant short story, The Nine Billion Names of God. The
monks in Tibet hire three computer scientists to assemble a machine
in their monastery that would list out the names of God using the
letters of the alphabet. The true names of God aren't Allah or Jesus
but rather the lengthy permutations and combinations of special alphabets limited to listing names of ten characters in length.
“Well, they believe that when they have listed all His names — and they reckon that there are about nine billion of them — God’s purpose will be achieved. The human race will have finished what it was created to do, and there won’t be any point in carrying on. Indeed, the very idea is something like blasphemy.”
And once the list of nine billion names
are completed, the purpose of the human race is completed and God
himself steps in and destroys the Universe. The scientists themselves
realize that nothing would happen but they don't want to be beaten
black and blue by the monks when nothing does happen. These monks
were the exception to the rule of the typical austere ascetics; they
enjoyed the pleasures of life (“they might be crazy, but they
weren’t bluenoses. Those frequent trips they took down to the
village, for instance...”). So the scientists make their way to
their plane as the last pages containing the names of the Creator are
printed out. And here's the best line:
“Look,”
whispered Chuck, and George lifted his eyes to heaven. (There is
always a last time for everything.)
Overhead, without
any fuss, the stars were going out.
Each of the stars would have
been at differing light years from the Earth. So in order for the
stars to go out “without any fuss”, they should have gone out
hundreds or even thousands of years ago, so that their “death”
could have been witnessed as simultaneous by the scientists! This
leads us to the conclusion that the stars knew the exact time that
the (less than austere) monks were going to complete their epic task!
Finally, the monks declare that the machine would take 100 days to
print out the 9 billion names of God. This story was written in the
fictional time-line of the 1950s. One might wonder how little time
that computation would take on a modern supercomputer that is capable
of 10 quadrillion floating-point operations per second. Of course, no
amount of scientific analysis would detract from the feeling of sheer
awe and fear that those lines deliver, but it is fun to muck about
with the maths.

1 comment:
"He probably posited that as an absurdity; like the speed of smell."
Far from an absurdity: first the diffusion speed of the "smelly" molecules, then the electrical "walkie-talkie" exchange between the brain and the nose.
(If you carry forth this simple observation of the impossibility of the instantaneous, you can convince yourself of the impossibility of the simultaneous as well!)
And as for Arthur Clarke, I think you're being generous to his capacity for detail. Those last lines however do make the heart palpitate with profundity.
Check out http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/index.html
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