Physicist Beats Traffic Ticket With Mathematical Paper

April 16, 2012 — -- Ever talk your way out of a traffic ticket? Bet it's a painful memory, isn't it?

Dmitri Krioukov, a physicist at the University of California, San Diego, was pulled over for jumping a stop sign. The fine would have been $400. But Krioukov tried something that most traffic courts probably haven't seen: He wrote an academic paper to argue why he ought to be found not guilty. Its title: "The Proof of Innocence."

The judge bought it, says Krioukov. He was acquitted. Krioukov posted his paper online and gave it a subtitle: "A way to fight your traffic tickets. The paper was awarded a special prize of $400 that the author did not have to pay to the state of California."

Here's the abstract. If you were a busy judge, who'd studied law more intently than mathematics in school, how would you react to it?

"We show that if a car stops at a stop sign, an observer, e.g., a police officer, located at a certain distance perpendicular to the car trajectory, must have an illusion that the car does not stop, if the following three conditions are satisfied: (1) the observer measures not the linear but angular speed of the car; (2) the car decelerates and subsequently accelerates relatively fast; and (3) there is a short-time obstruction of the observer's view of the car by an external object, e.g., another car, at the moment when both cars are near the stop sign."

The paper is four pages of dense reading, filled with equations and graphs, but here's the simple version:

Why did he jam on the brakes? Krioukov, in slightly broken English (he grew up in Russia) puts it right there in the paper:

"The author/defendant (D.K.) ... was badly sick with cold on that day. In fact, he was sneezing while approaching the stop sign. As a result he involuntary pushed the brakes very hard."

The judge chose not to fight him. Next case, please.

But Physics Central, which first reported this story, says Krioukov concluded with a challenge: "I want to ask the readership to please find the flaw in the argument."