Twistor line
= Twistor line
{title2=$L_x=\mathbb P(W_x)\cong\mathbb{CP}^1$}
The projective line associated to a two-plane $W_x$ representing a point of <complexified compactified Minkowski space>. Two distinct <twistor lines> intersect precisely when their spacetime points are null separated. On the Lorentzian real slice, the line lies entirely in <projective null twistor space> and parametrizes the null geodesics through the point.