Lorentz Transformation:
v>0; v<c
X’ = gamma *( X – vT)
T’ = Gamma * (T – (v/c²) *X)
Gamma =1 / sqrt (1-(v/c)²)
X = c * T.
This reduces to :
X’ = gamma * X * (1-v/c) = X * sqrt((1-v/c) / (1+v/c))
T’ = gamma * T * (1 – v/c) = T * sqrt((1-v/c) / (1+v/c))
or :
sqrt(1-v/c) * X = sqrt(1+v/c) * X’
and
sqrt(1-v/c) * T = sqrt(1+v/c) * T’
Note formula is symmetrical for v and -v,
