Connection , Reduction , and the Falling Cat
نویسنده
چکیده
This report presents a condensed summary on foundations of gauge theory and its application to mecanics. In particular, we will see how the involved mathematical concepts allow to describe the reorientation of a free falling cat in a coordinate free (and nearly calculation free) manner.
منابع مشابه
Fibre Bundles and Gauge Theories in Classical Physics: a Uniied Description of Falling Cats, Magnetic Monopoles and Berry's Phase
In this paper, selected topics in the application of gauge theory to classical physics is explored. First the geometry of bre bundles and gauge theories is introduced at an informal level. These ideas are then applied to the old question of how a falling cat always manages to turn and land on its feet while maintaining zero angular momentum. The cat dynamics is described as motion through a pri...
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