The Imperceptibility of Santa Claus
"OK, Daddy, why has nobody SEEN Santa Claus on Christmas Eve?"
Tough question. But, a few back-of-the-envelop calculations were enough to convince my doubting offspring that it was physically IMPOSSIBLE.
To wit:
Suppose that Santa starts at the International Date Line and travels westward, in order to maximize his time for delivering
presents on or about midnight. Let's guess that there are 4 billion people, and so about 1 billion households worldwide. Just as
we assume Santa has solved the travelling salesman problem (1 billion nodes!), so too we will assume that he can handle the
unequal distribution of households over the land masses, too (Fiji Islanders, etc., probably don't have reason to doubt his
presence). Roughly 1 billion / 24 hours gives 40 million households / hour; and as there are 3600 seconds / hour, that gives us
about 10000 households / second. Thus, Santa drops down the chimney and is gone, on average in .0001 second: FAR LESS
time than the human eye (even dark-adapted!) needs to see--.01 second being about the lower limit established by
tachistoscope studies.
"OK, Daddy, then why has nobody HEARD Santa Claus on Christmas Eve?"
Tougher question, and one that demands serious analysis. If Santa moves that quickly, of course, he is going to push a lot of air out of his way, and silent night would be more accurately be called the Night of the Sonic Booms. The envelop (last year's, once containing a Christmas card as yet unanswered) quickly fills up:
Let's see:
1 billion households distributed on average equally over 4 pi radius squared. That's about 12 times 4000 * 4000, but
three-quarters of that is water (poor Fiji!): so about 3 times 16 million, or about 50 million square miles. So, 1 billion / 50
million is 20 households / square mile, and if they were distributed in gridlike regularity, Santa has to travel (at LEAST,
depending on the sophisication of his TSP solution) about 1/5 mile: 1000 feet in .0001 second. Sound itself would take about
1.3 second; clearly, even if Santa were made of Kevlar and could withstand the accelerations necessary (poor toys!), Santa is
not only booming about the Baby Boomers' babies, he is beginning to suffer from Fitzgerald contraction. (Let's see, here on the
envelop flap: 1/5 mile in 1/10000 of a second is 2000 miles / second, or about .01c, if c is rounded to 200000 miles / second.)
Thus giving new meaning to "relative clause", he is approaching the danger of being misperceived as anorexic.
Perhaps, then, the answer is as follows: you can't see Santa because he moves too fast; and, because he would look skinnier than you think, you wouldn't recognize him anyway. Further, any atmosphere overpressure generated by his rapid descent is canceled by the underpressure of his nearly instantaneous return: in contrast to most phenomena, the sonic boom cannot form!
What remains to be explained, of course, in addition to the usual arrival of undamaged gifts (even on Fiji), is why the evening of his rapid transit is not marked by the spectacle of a multitide of gifts being sucked, nearly simultaneously, up through millions of chimneys throughout world, to trail happily in his wake.
Worm before Xmas
Twas the night before finals, and all through the lab
Not a student was sleeping, not even McNabb.
Their projects were finished, completed with care
In hopes that the grades would be easy (and fair).
The students were wired with caffeine in their veins
While visions of quals nearly drove them insane.
With piles of books and a brand new highlighter,
I had just settled down for another all nighter ---
When out from our gateways arose such a clatter,
I sprang from my desk to see what was the matter;
Away to the console I flew like a flash,
And logged in as root to fend off a crash.
The windows displayed on my brand new Sun-3,
Gave oodles of info --- some in 3-D.
When, what to my burning red eyes should appear
But dozens of "nobody" jobs. Oh dear!
With a blitzkrieg invasion, so virulent and firm,
I knew in a moment, it was Morris's Worm!
More rapid than eagles his processes came,
And they forked and exec'ed and they copied by name:
"Now Dasher! Now Dancer! Now, Prancer and Vixen!
On Comet! On Cupid! On Donner and Blitzen!
To the sites in .rhosts and host.equiv
Now, dash away! dash away! dash away all!"
And then in a twinkling, I heard on the phone,
The complaints of the users. (Thought I was alone!)
"The load is too high!" "I can't read my files!"
"I can't send my mail over miles and miles!"
I unplugged the net, and was turning around,
When the worm-ridden system went down with a bound.
I fretted. I frittered. I sweated. I wept.
Then finally I core dumped the worm in /tmp.
It was smart and pervasive, a right jolly old stealth,
And I laughed, when I saw it, in spite of myself.
A look at the dump of that invasive thread
Soon gave me to know we had nothing to dread.
The next day was slow with no network connections,
For we wanted no more of those pesky infections.
But in spite of the news and the noise and the clatter,
Soon all became normal, as if naught were the matter.
Then later that month while all were away,
A virus came calling and then went away.
The system then told us, when we logged in one night:
"Happy Christmas to all! (You guys aren't so bright.)"
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