These diagrams relate to a discussion taking place on physicsforums.com mainly between JesseM and neopolitan, about time dilation and length contraction equations and the potentially useful "Spatial Analogue For Time Dilation" (SAFTD) and "Temporal Analogue For Length Contraction" (TAFLC) equations.
Here is the link to that discussion
Being aware that not everyone would follow the diagrams since not everyone has followed the entire discussion, I tried to clarify in post #177.
Length Contraction
Time Dilation
SAFTD
TAFLC
This is a diagram by JesseM, drawn during an earlier discussion about the fact that time dilation and length contraction are not temporal and spatial equivalents of each other.
In post #178, JesseM said:
The labels on the time dilation diagram appear to be backwards. You label the purple segment the time dilation of B looking at A, but that appears to be the time dilation that A sees when it looks at B's clock--it's the difference in A's time coordinates between two events on the worldline of B's clock that are separated by 1 second in B's frame (and the height of the purple segment is greater than 1 second in A's frame, hence the 'dilation'). Likewise, the green bar seems to show the time in B's frame between two ticks of a clock at rest in A's frame, so that should be "time dilation of B looking at A" rather than "A looking at B". Unless I'm misunderstanding what "looking at" is supposed to mean (I interpreted 'A looking at B' to mean how B's clock behaved in A's frame).
I responded with the following two diagrams and post #180. The effect of time dilation may not be immediately obvious, but attempt is made in later posts in the thread to explain (using the Galilean relativity diagrams whic are further below).
Time Dilation Attempt 2
SAFTD Attempt 2
The following two diagrams address two separate lines of discussion in the same thread. They are mentioned in post #185 and arise from comments made by JesseM in post #179 and post #184.
Galilean Relativity as JesseM would have it
Galilean Relativity as I thought about it
