I'll give you 50 points so far.

What is the following expression?

(ct)^2 - (x^2 + y^2) = -(c^2/a)^2 = constant. {ETA: squared the right hadn side of that, to make it correct}


This is in 1T, 2D Minkowski. Space is a plane, plus time (for us). What is a "point" (x/y = constant) on that doing?

Hint: hyperbolic motion...proper acceleration

-Richard