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Forget about Einstein's tortured derivation. There's no reason to base special relativity on history's first published paper on the topic or to fixate on the clumsiness of Einstein's baby steps in 1920.
The best derivation of the special relativity available anywhere to date in terms of sheer elegance, physical intuitiveness and mathematical simplicity is given here:
You are obviously aware in you post that Einstein didn't know elementary mathematics. But instead of saying so clear and loud, you are trying to obfuscate that fact, hide it from others, and present history of science as something so unimportant that we shouldn't even look to.
Even more so, you're saying that in 1920, the mid-age man, 15 years after publication and already the world scientist no.1 at that time, is a goofy baby making his first steps.
And finally, I'm not picking on Einstein's 1920 approach only. I have clearly shown that other modern authors fail by repeating his error. Such authors include for example, Palash B. Pal, and Dr. Yakovenko, whom I quote.
Instead of solving problem regarding equation set I gave in the post, (unique solution x' =0) you mention universal agreement, that Lorentz trans. is valid for all events (x', t')? What kind of an answer is that? What are you? A politician?
Tell you what, If I manage to ignore your ego, I'll even read your derivation. How's that?
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