TimeDilation - Special Relativity (1905) 1. Relativity...

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() Lorentz Transforms (S S ): → ′ =− ′ = ′ = xx V t yy zz tt Vx c γ 2 Lorentz Transforms (S S): ′ → = ′ + ′ = ′ = ′ = ′ + V t c 2 = 1 1 2 V c 1. Relativity Postulate : The laws of physics are the same in all inertial (non-accelerating) reference frames. 2. Speed of Light Postulate : The speed of light in a vacuum is a constant, independent of the motion of the source. Special Relativity (1905)
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L L o = γ ( ) γ = 1 1 2 v c http://www.fourmilab.ch/cship/figures/ Length Contraction
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y x N C C V SS N y N x
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() Lorentz Transforms (S S ): → ′ =− ′ = ′ = xx V t yy zz tt Vx c γ 2 Lorentz Transforms (S S): ′ → = ′ + ′ = ′ = ′ = ′ + V t c 2 = 1 1 2 V c 1. Relativity Postulate : The laws of physics are the same in all inertial (non-accelerating) reference frames. 2. Speed of Light Postulate : The speed of light in a vacuum is a constant, independent of the motion of the source. Special Relativity (1905)
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L L o = γ ( ) γ = 1 1 2 v c Length Contraction
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L L o = γ ( ) γ = 1 1 2 v c Δ Δ tt = γ o http://www.fourmilab.ch/cship/figures/ Length Contraction Time Dilation
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S @ S N Mirror M Light Source
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S @ M S N
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S @ M S N
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S @ M S N
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S S N @ V M
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S S N @ @ V M M
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S S N @ @ @ V M M M
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http://www.rscc.cc.tn.us/obs/Cosmic%20ray%20shower.jpg
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This note was uploaded on 04/17/2008 for the course PHYSICS 135-3 taught by Professor Brown during the Spring '08 term at Northwestern.

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TimeDilation - Special Relativity (1905) 1. Relativity...

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