BELIEVE ME NOT!   A SKEPTIC's GUIDE
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If we now look at just the x and t part of the
LORENTZ TRANSFORMATION [leaving out the y and z parts,
which don't do much anyway], we have
x' 
= 

(23.4) 
c t' 
= 

(23.5) 
 i.e., the LORENTZ TRANSFORMATION "sort of" rotates
the space and time axes in much the same way as
a normal rotation of x and y. I have used ct as the
time axis to keep the units explicitly the same; if we use
"natural units" (c = 1) then we can just drop c out of
the equations completely and the analogy becomes obvious.
Jess H. Brewer 
Last modified: Mon Nov 23 11:05:17 PST 2015