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<a href="//what-if.xkcd.com/1/"><h1>Relativistic Baseball</h1></a> | |
<p id="question">What would happen if you tried to hit a baseball pitched at 90% the speed of light?</p> | |
<p id="attribute">- Ellen McManis</p> | |
<p>Let’s set aside the question of how we got the baseball moving that | |
fast. We'll suppose it's a normal pitch, except in the instant the | |
pitcher releases the ball, it magically accelerates to 0.9c. From that | |
point onward, everything proceeds according to normal physics.:</p> | |
<img class="illustration" title="pitcher throwing ball" src="/imgs/a/1/01.png"> | |
<p>The answer turns out to be “a lot of things”, and they all happen very | |
quickly, and it doesn’t end well for the batter (or the pitcher). I sat | |
down with some physics books, a Nolan Ryan action figure, and a bunch of | |
videotapes of nuclear tests and tried to sort it all out. What follows | |
is my best guess at a nanosecond-by-nanosecond portrait:</p> | |
<p>The ball is going so fast that everything else is practically | |
stationary. Even the molecules in the air are stationary. Air molecules | |
vibrate back and forth at a few hundred miles per hour, but the ball is | |
moving through them at 600 <em>million</em> miles per hour. This means that as | |
far as the ball is concerned, they’re just hanging there, frozen.</p> | |
<p>The ideas of aerodynamics don’t apply here. Normally, air would flow | |
around anything moving through it. But the air molecules in front of | |
this ball don’t have time to be jostled out of the way. The ball smacks | |
into them so hard that the atoms in the air molecules actually fuse with | |
the atoms in the ball’s surface. Each collision releases a burst of | |
gamma rays and scattered particles.</p> | |
<img class="illustration" title="fusion illustration" src="/imgs/a/1/02.png"> | |
<img class="illustration" title="fusion zone of baseball" src="/imgs/a/1/03.png"> | |
<p>These gamma rays and debris expand outward in a bubble centered on the | |
pitcher’s mound. They start to tear apart the molecules in the air, | |
ripping the electrons from the nuclei and turning the air in the stadium | |
into an expanding bubble of incandescent plasma. The wall of this bubble | |
approaches the batter at about the speed of light—only slightly ahead of | |
the ball itself.</p> | |
<img class="illustration" title="t=30 nanoseconds" src="/imgs/a/1/04.png"> | |
<p>The constant fusion at the front of the ball pushes back on it, slowing | |
it down, as if the ball were a rocket flying tail-first while firing its | |
engines. Unfortunately, the ball is going so fast that even the | |
tremendous force from this ongoing thermonuclear explosion barely slows | |
it down at all. It does, however, start to eat away at the surface, | |
blasting tiny particulate fragments of the ball in all directions. These | |
fragments are going so fast that when they hit air molecules, they | |
trigger two or three more rounds of fusion.</p> | |
<p>After about 70 nanoseconds the ball arrives at home plate. The batter | |
hasn't even seen the pitcher let go of the ball, since the light | |
carrying that information arrives at about the same time the ball does. | |
Collisions with the air have eaten the ball away almost completely, and | |
it is now a bullet-shaped cloud of expanding plasma (mainly carbon, | |
oxygen, hydrogen, and nitrogen) ramming into the air and triggering more | |
fusion as it goes. The shell of x-rays hits the batter first, and a | |
handful of nanoseconds later the debris cloud hits.</p> | |
<p>When it reaches the batter, the center of the cloud is still moving at | |
an appreciable fraction of the speed of light. It hits the bat first, | |
but then the batter, plate, and catcher are all scooped up and carried | |
backward through the backstop as they disintegrate. The shell of x-rays | |
and superheated plasma expands outward and upward, swallowing the | |
backstop, both teams, the stands, and the surrounding neighborhood—all | |
in the first microsecond.</p> | |
<p>Suppose you’re watching from a hilltop outside the city. The first thing | |
you see is a blinding light, far outshining the sun. This gradually | |
fades over the course of a few seconds, and a growing fireball rises | |
into a mushroom cloud. Then, with a great roar, the blast wave arrives, | |
tearing up trees and shredding houses.</p> | |
<p>Everything within roughly a mile of the park is leveled, and a firestorm | |
engulfs the surrounding city. The baseball diamond is now a sizable | |
crater, centered a few hundred feet behind the former location of the | |
backstop.</p> | |
<img class="illustration" title="mushroom cloud" src="/imgs/a/1/05.png"> | |
<p>A careful reading of official Major League Baseball Rule 6.08(b) | |
suggests that in this situation, the batter would be considered "hit by | |
pitch", and would be eligible to advance to first base.</p> | |
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