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Hold your horses: I'm well aware that this would likely never happen; when Alexander died in Babylon that sealed any possibility of this which was already very low during his life time if not nearly impossible.
My question; if Alexander or one of his Diadochi crossed into China from the Tarim Basin in a semi-suicidal Hannibal Barca esque expedition with a force intact would the greeks have any chance in conquering the Chinese(By conquer, I mean set up a Diadochi Dynasty that is more or less "Chinese" with hellenistic undertones)? This was during the Warring states period and the Zhou was in the midst of collapse; perhaps in the chaos the greeks could carve out a living for themselves if they were lucky?
By extension how would a Hellenistic China be and how will it interact? The butterflies would ofcourse be enormous but what a world it would be!