Good ideas and conversation. No ads, no tracking. Login or Take a Tour!
Devac · 19 days ago · link · · parent · post: Advanced Civilizations Could be Indistinguishable from Nature
No, at v=0.75c you get 𝛾=1.51 (𝛾 := 1/Sqrt[1 - (v/c)²]) and the time that passes for ship's passengers is t'=d/(𝛾v), where d is distance in light years. At d=4.3 ly to Alpha Centauri gives passenger's time as t'=3.8 years. Lorenz transforms for the ship reference frame are d'=𝛾(d-vt) and t' = 𝛾(t-vd/c²), do the wangjangling, and get t'=𝛾(d/v - vd/c²)=d/(𝛾v) I used above. I also calculated this thing for kb a while back, for scale:If the best speed we can make is 75% of the speed of light, even the short distance to the nearest Star system becomes a generational journey.