In his paper “The Proof of Innocence” Dmitri Krioukov, a physicist at the University of California in San Diego, outlined for a judge the. Dmitri Krioukov’s proof of innocence paper by mike_glass_1 in dmitri krioukov. A way to fight your traffic tickets. The paper was awarded a special prize of $ that the author did not have to pay to the state of California.
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The O ‘s observations of car C 1 moving in lane L 1 are briefly obstructed by another car C 2 moving in lane L 2 when both cars are near stop sign S.
Trains, for instance, appear to be moving very slowly when they are far away, but they speed past when closer. In making his case, Krioukov wrote that a police officer can perceive a car as not having stopped — even though it really did stop — if three different criteria are met:. The diagram showing schematically the geometry of the considered case. In making his case, Krioukov wrote that a police officer can perceive a car as not having stopped — even though it really did stop — if three different criteria are met: This observation is the first building block of our proof of innocence.
In addition to including colorful diagrams, Krioukov was thorough with his details of the events that transpired: Introduction It is widely known that an observer measuring the speed of an object passing by, measures not its actual linear velocity by the angular one.
Still, in his conclusion, Krioukov was understanding towards the officer in question. To make this proof rigorous, we first consider the relationship between the linear and angular speeds of an object in the toy example where the object moves at a constant linear speed. Submitting a four-page paper with math equations and graphs proving that your traffic violation was the result of the officer suffering from an optical illusion isn’t the strategy most people would employ.
For those who’d like a simpler explanation, the blog Physics Central broke down Krioukov’s argument in layman’s terms with an illuminating analogy about trains: Despite these two different observations at different distances, the train maintains a roughly constant velocity throughout its trip.
In fact, he was sneezing while approaching the stop sign. We then proceed to analyzing a picture reecting what really happened in the considered case, that is, the case where the linear speed of an object is not constant, but what is constant instead is the deceleration and subsequent acceleration of the object coming to a complete stop at a point located closest to the observer on the object’s linear trajectory.
The Proof of Innocence
In his paper “The Proof of Innocence” Dmitri Krioukov, a physicist at the University of California in San Diego, outlined for a judge the mathematical reasons why he was not guilty of running a stop sign. The region shaded by the grey color is the area of poor visibility for O.
The diagram showing schematically the brief obstruction of view that happened in the considered case. This happens when we try to estimate the speed of a passing object, and the effect is more pronounced for faster objects. When Krioukov drove toward the stop sign the police officer was approximating Krioukov’s angular velocity instead of his linear velocity.
Another road connects to L perpendicularly at S.
The O ‘s interpolation is the dashed red curve. As a result he involuntary pushed the brakes very hard. We show that if a car stops at a stop sign, an observer, e. Therefore we can assume that the deceleration was close to maximum possible for a car.
Dmitri Krioukov. Proof Innocence. Дмитрий Крюков. Доказательство невиновности
Finally, in the last section, we consider what happens if at that critical moment the observer’s view is briey obstructed by another external object. There are plenty of ways to get out of a traffic ticket: For example, if we stay not far away from a railroad, watching a train approaching us from far away at a constant speed, we first perceive the train not moving at all, when it is really far, but when proog train comes closer, it appears to us moving faster and faster, and when it actually passes us, its visual speed is maximized.
Car C moves along line L. Tap here to turn on desktop notifications to get the news sent straight to you.
The real angular speed of C 1 is shown by the blue solid curve.