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I am building an animated version of his proof. Look for it on my University of Arkansas home website at
http://comp.uark.edu/~davewall/Molly.htm
It is important to see that Lew's proper time diagrams are different from the usual space-coordinate time diagrams used in many approaches to relativity.
The usual space-coordinate time diagrams used in non-mathematical treatments are, in turn, different from the most common space-time Murkowski diagrams taught in graduate school. Those diagrams use a complex vertical time axis proportioned with ict where i is the square root of -1 and c is the velocity of light.
These concepts will be more fully explained on my University of Arkansas home website. It can be found at
http://comp.uark.edu/~davewall/Molly.htm
Hope to see you there!
Stick AG is moving through space, so its ends are desynchronized. It reaches through time. A light flash leaving from O meets the ends of the stick in space at C and I. Since photons do not age, their proper time is stationary in this diagram. It is easy to show that C-O equals A-B and that G-H equals O-I.
