12.07.2015 Views

Simple Nature - Light and Matter

Simple Nature - Light and Matter

Simple Nature - Light and Matter

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An example of length contraction example 3Figure q shows an artist’s rendering of the length contraction forthe collision of two gold nuclei at relativistic speeds in the RHICaccelerator in Long Isl<strong>and</strong>, New York, which went on line in 2000.The gold nuclei would appear nearly spherical (or just slightlylengthened like an American football) in frames moving along withthem, but in the laboratory’s frame, they both appear drasticallyforeshortened as they approach the point of collision. The laterpictures show the nuclei merging to form a hot soup, in whichexperimenters hope to observe a new form of matter.r / Example 4: In the garage’s frame of reference, the bus is moving, <strong>and</strong> can fit in the garage due toits length contraction. In the bus’s frame of reference, the garage is moving, <strong>and</strong> can’t hold the bus due to itslength contraction.The garage paradox example 4One of the most famous of all the so-called relativity paradoxeshas to do with our incorrect feeling that simultaneity is well defined.The idea is that one could take a schoolbus <strong>and</strong> drive it atrelativistic speeds into a garage of ordinary size, in which it normallywould not fit. Because of the length contraction, the buswould supposedly fit in the garage. The driver, however, will perceivethe garage as being contracted <strong>and</strong> thus even less able tocontain the bus.The paradox is resolved when we recognize that the concept offitting the bus in the garage “all at once” contains a hidden as-Section 7.2 Distortion of Space <strong>and</strong> Time 393

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