Lecture_32 - PHYS 342 Fall 2011 Lecture 32: The...

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PHYS 342 Fall 2011 Lecture 32: The Lorentz-Einstein Transformation Equations Ron Reifenberger irck anotechnology Center Birck Nanotechnology Center Purdue University Lecture 32 1
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Michelson-Morely – most famous null experiment in history Lower limits on ETHER drift velocity: Initially (1881) < 5 km/s More refined < 1.5 km/s New experiments < 3 m/s Conclude that speed of light constant in all inertial is constant in all inertial reference frames! What Next?? http://galileoandeinstein.physics.virginia.edu/more_stuff/flashlets/mmexpt6.htm 2
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Historically, two solutions emerge Einstein (1905) ocus on E&M: Faraday's results are Voight (1887) Larmor (1900) orentz (1904) Keep “ether” concept Focus on E&M: Faraday s results are frame invariant! Lorentz (1904) Cook up transformations to be consistent with M-M experiment Implies laws of E&M o not epend on Believed the transformations were just a math trick for manipulating Maxwell’s Eqs. i) laws of E&M do not depend on frame of reference, AND ii) speed of the fields that propagate between magnet and loop must be independent of the velocity of the reference frame. Derives same transformations as Lorentz Leads to Special Relativity 3
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Einstein’s Approach ! induced in the loop is the same E y & Laws of EM m u s t b e frame invariant y S S x v v x x B B BA   E t 4
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Both approaches tangle space with time. But…. What is Space? Space is what we measure with a measuring rod What is Time? Time is what we measure with a clock hat are the new transformation equations between fixed What are the new transformation equations between fixed and moving co-ordinate systems so that the velocity of light is same in both systems? Something has to “give” and what “gives” is space and time.
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This note was uploaded on 12/08/2011 for the course PHYS 342 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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Lecture_32 - PHYS 342 Fall 2011 Lecture 32: The...

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