In today's HINDU (a daily news paper of India) Prof.Alladi Ramakrishnan,
retired Founder-Director, MATSCIENCE, Madras, India has written about
a not so explicitly stated symmetry in the Lorentz transformation equations.
As we know
2
x - vt t - vx/c
x' = ---------- , t' = ------------
K K
2 2
where K= SQRT( 1 - v/c ).
Devide the equation for x' with c and then set c=1 in the equations.
We have
x' = (x -vt)/K and t' = (t - vx)/K
Here we have to note x and x' have dimensions of time and are numerically
equal to space intervals in units of magnitude c.