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Unformatted text preview: rotation in 3dimensional space r R r ′ = r r where R is the rotation matrix. Invariance under Time Translation: In empty space there is no difference between the frame O and the frame O' where O and O' are related T t t + = ' where T is a constant. Symmetries imply conservation laws and viceversa! Experimental observation! No preferred origin! No preferred direction! No origin of time! Leads to linear momentum conservation! Leads to angular momentum conservation! Leads to energy conservation!...
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.
 Spring '07
 Field
 Physics, Momentum

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