Miss Liberty and I were standing
outdoors, in a mountain meadow buffeted by a windstorm. The sky was dark and
overcast; off in the distance lightning and thunder rumbled; the scent of rain
was in the air.
The wind howled and whirled. A
whirlwind rose before us from the valley below. As it grew bigger it roared
louder; and as the mouth of the whirlwind reached up to us it bellowed;
“Prepare to meet thy Unmaker, O
Glitch!”
There was a flash of lightning.
The whirlwind roared, “For it is
written; thou shalt not suffer a glitch to live!”
Thunder rumbled.
“Who are you?” Liberty asked.
“I am JOV!” the wind wailed.
“And who is JOV?” she asked.
JOV howled, “I am who I am who I am
who I am who I am who I am who I am!”
“Well, that’s easy for you to
say,” said Miss Liberty, “but how do I know you’re you? Maybe you’re
somebody else pretending to be you!”
“Insolent fool!” roared JOV.
Lightning flashed and thunder crashed, terribly nearby. “State your questions
before I smite you with a lightning bolt!” And rain pelted us.
“ ... a single problem!” she yelled
over the rainstorm.
The rain abated. “One problem only?”
JOV rumbled suspiciously.
“One mathematical puzzle,” Liberty
said, “that’s all, honest! Then you can do whatever you want about us!”
“A math puzzle,” mused JOV. “In what
field?”
Liberty smiled sunnily. “Weather
Prediction.”
“Ahhhhhh...” whispered JOV.
The clouds parted. The wind died
down and the whirlwind dispersed. Sunlight broke through the gloom. Soon the
clouds were gone, and that mountain meadow was bathed in light.
“Thank you for such an easy
challenge,” the voice of JOV said pleasantly from all around us. “Weather
prediction is my specialty, you see.”
“That’s
why I chose it,” she said. “I wanted to make sure.”
“My predictions are 100% accurate,”
JOV promised.
Miss Liberty said, “I was wondering
what the weather will be like here at noon thirty days from now. Will it be
sunny?”
“At precisely noon?” said JOV.
“Yes.”
“Are you certain?”
“Absolutely certain. Mathematically
certain,” said JOV. “I calculated it, you see.”
“What a mathematician you must be!”
Liberty said with awe.
“It was nothing,” JOV said modestly.
“It is a simple application of the Navier-Stokes fluidic equations to the air
currents in this weather system, with a correction due to solar radiation.
Starting from those equations and initial conditions, anyone with half the mind
I have can easily predict that here at precisely noon in thirty days it will be
sunny with scattered clouds, with gusts from the northeast at 12 miles per
hour, and a relative humidity of 23%.”
“Impressive!” Liberty exclaimed.
“And this calculation is completely certain? Can nothing make it
wrong?”
JOV said, “Only if there were a big
enough perturbation to the system.”
“Or a ‘bug’ in the program?” Liberty
asked. Winking at me, she reached into the folds of her robe and drew forth a
small Chinese box.
“Well, yes,” said JOV.
Miss Liberty opened that little box;
inside of it was a butterfly. She tapped at the side of the box, and the bug
fluttered out.
The butterfly flittered across the
meadow and settled down to drink at a flower.
“Excuse me,” said JOV, “new data has
just come in. Here at precisely noon in thirty days the relative humidity will
be 32%, and the wind will be from the southwest at 21 miles per hour. It will
still be sunny, though.”
The butterfly flittered over to the
next flower.
“Excuse me, a new revision,” said
JOV. “Actually, it will be overcast, with winds in the 70's.” The butterfly
quivered a wing. “In the 60's!”
Miss Liberty closed the little box,
then re-opened it. Another bug fluttered out.
“Here at precisely noon in thirty
days,” JOV said grimly, “there will not be a cloud in the sky, and not a breath
of motion in the bone-dry air!”
Liberty released another butterfly.
“There will be a thunderstorm,” JOV
said.
“Something appears to be perturbing
you,” Liberty noted, as she let out another butterfly.
“An external force is changing the
parameters at random,” JOV explained.
Liberty winked at me; for I could
clearly see what that force was. Butterflies!
For the Navier-Stokes fluid
equations are so subtle, so sensitive, and so turbulent, that the infinitesimal
air currents produced by those tiny insects were enough to completely transform
the next month’s weather.
Liberty released butterfly after
butterfly; and JOV said, “It will be sunny! It will be cloudy! It will be
scorching! It will be freezing! There will be a drought! There will be a
flood!”
In turbulent systems, causation is
independent of scale. The great affects the small, and the small affects the
great. Miss Liberty and I were witnessing the Butterfly Effect.
Liberty cried, “O JOV, you are a
butterfly’s plaything!” We were
surrounded by a cloud of butterflies. Liberty let loose another butterfly and
said, “No more equivocation! Will it be sunny here at noon thirty days from
now, or not? Answer yes or no!”
And JOV said, “Yes, no, yes, yes,
no, yes, no, no, yes, yes, no, yes, no, no, no...”
Miss Liberty released butterfly
after butterfly; and she carolled,
“I once heard a
butterfly shout
While giddily flitting about,
‘Of Chaos I sing!
Each flap of my wing
Brings thunderstorm, rainbow, or drought!’ ”
And JOV said, “No yes no no yes yes
no yes no yes no no no yes no yes no yes no yes yes yes no no yes yes yes yes
yes!”
And then the lights went out.
In the sudden darkness we heard JOV
say, “This program is jammed. Consult supervisor.”
* click *
mmmmmmmmmmmmmmmmMMMMMMMMMMMMM....
Thus Miss Liberty astonished JOV,
the Master of Thunders, with a flock of butterflies.
JOV said, “You now have Full Access
to the World System. Beware, Master! She’s a glitch! Burn her!”
FLASH
No comments:
Post a Comment