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Introduction to Relativity
© Dallin S. Durfee, 2005
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In “Earth” Reference Fra= me
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In “Earth” Reference Fra= me
Both lightning bolts strike = at the same time
The observer sees the light f= rom the right bolt
before they see = light from the left bolt.
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In “Train” Reference Fra= me
Either the observer sees l= ight from both beams
at the same time…
… or the lightning = bolts didn’t strike at the same time!
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Time Dilation
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Time Dilation
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Time Dilation
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Time Dilation
If two events occur in the s= ame place, separated by a time t<= /span>p<= /span> = …
light can travel a distance = L = =3D ctp / 2 and back.
But in the frame of someone m= oving at a speed v relative to
the proper frame= , the= light must travel further than L.
The inertial frame in which t= wo events occur at the same place
is known as the “proper” frame for the two events.
Not all pairs of events have= a proper frame!
So there is a larger time bet= ween the two events in the moving
frame than the p= roper frame!
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3D"TIME IS RELATIVE"
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. . . but . . .
In the “train” frame
In the “Earth” frame
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Time Dilation
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Time Dilation
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