ParadoxoftheSpeedofLight

ParadoxoftheSpeedofLight - PARADOX OF THE SPEED OF LIGHT...

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1 PARADOX OF THE SPEED OF LIGHT Recall that Einstein based his Special Theory of Relativity on a general hypothesis concerning all the laws of physics: The Principle of Relativity - All the laws of physics are the same in all inertial reference frames. That, the laws of mechanics and E&M are the same in all inertial reference frames. Classically , this Principle immediately leads to a paradox concerning the speed of light: 1. From Maxwell’s Equations the speed of light in a vacuum is given by 8 1 3.0 10 / oo cm s µε == × 2. According to the Galilean Addition Law for Velocities the speed of light is not constant and depends on the motion of the observer or source: ' uu v = GG G u=3.0 x10 8 m/s i v= - 1.0x10 8 m/s i S S ' '8 8 ˆˆ 3 .010 ( 1 .010 ) ˆ 4.0 10 (relative to shuttle RF) v ux i x i i =− = G G G
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2 To resolve the contradiction for the speed of light classically we must then admit that one of the following statements must be wrong: 1. The laws of E&M - and the value for the speed of light – are the same in all inertial reference frames.
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ParadoxoftheSpeedofLight - PARADOX OF THE SPEED OF LIGHT...

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