The TrekCulture YouTube channel uploaded this video last November. If you haven't seen this video it's good viewing for First Contact Day. It goes over some facts about going really, really fast in the Star Trek universe. As an example for warp drive you can use dilithium crystals but for slipstream Benamite crystals are needed.

Of course due to CBS rules this video has the required minimum amount of technobabble. It goes over the change in canon for Earth's first FTL ship. The warp factor speeds between original and modern Star Trek are different because reasons.

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