We only need to get to say 1/8 the speed of light to put Alpha Centauri within a generation.
I think a big part of the problem is that our early physics is based on 3 dimensional geometry.
But the algebra of higher dimensions is well known, and doesn’t always easily get represented in 3D.
So I say “think outside the box”... maybe I should say “think outside the tesseract”....
;-)