I-Am-Prepared! wrote:
But this is totally different, the jump from 9.9 to 10 is more than just another increase in speed...it's somehow a leap from zooming about really fast to suddenly being everywhere at once.
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It's infinitely fast, and it isn't sudden, it's a gradual increase. There's an enormous difference in speed between 9.9 and 9.99, another enormous difference between that and 9.999, and again between 9.9999.
Theoretically, Warp 10 should be impossible, but as a mathematical model by which to create a warp scale, it makes sense.
I-Am-Prepared! wrote:
Whatever speed Warp 9.9999 is....why exactly does going anywhere beyond that land you everywhere at once?
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Going beyond that would see you travelling at warp 9.99999. Then 9.999999, then 9.9999999, and so on.
If Warp 10 was possible, it wouldn't come "just after" 9.9999. Technically, if Warp 10 is infinite velocity, there should should be an infinite number of warp scale decimal places after the 9 before we got to 10.
Voyager portrayed that jump badly in 'Threshold'.