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(based on https://www.physicsforums.com/threads/teaching-sr-without-simultaneity.1011051/post-6588952 and https://physics.stackexchange.com/a/689291/148184 )
In my earlier Insight Spacetime Diagrams of Light Clocks,
I stated without proof that the areas of all light-clock diamonds are equal.
In my article, “Relativity on Rotated Graph Paper”, Am. J. Phys. 84, 344 (2016)
I provided algebraic proof.
In the penultimate draft, I had a non-algebraic motivating argument (which also motivates time dilation and length contraction)
that had to be left out because the article was already too long.
This argument now appears in Introducing relativity on rotated graph paper...
Continue reading...