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1)

The consequences of faster-than-light speed. I noticed that [tex]\gamma[/tex] would then involve complex numbers, and seeing as complex analysis is definitely more than imaginary, I was wondering what it could mean, both mathematically and physically (wormholes?). Unfortunately, I haven't gone very far into math higher than calculus yet. Hopefully soon to change.

2)

[tex]\gamma[/tex] bears more than a passing resemblance to the derivative of arcsin. Details?