We actually don't know if dilithium naturally forms on Earth of if Cochrane somehow artificially formed them (i.e. artificial diamonds made from carbon), we just know it naturally occurs on other planets like Rura Penthe. As for bypassing the speed of light, all Trek fans might be interested in this bit of news today: https://www.techtimes.com/articles/...erendipity-darpa-researchers-find-strange.htm . Universal translators explain the aliens and English (man that Google Translate still exists in the future huh!) and as for looking human, Preservers or Ancient humanoids from the Chase episodeStar Trek is a franchise where a starship that uses natural crystals to fly thousands of times faster than the speed of light visits planets where aliens routinely speak English and look pretty human. Science went out the door with Star Trek about 57 years ago.