“…In this section, we recall some basic notions from pseudo-Galilean geometry [11,12]. In the inhomogeneous affine coordinates for points and vectors (point pairs) the similarity group H 8 of G According to the motion group in the pseudo-Galilean space, there are non-isotropic vectors A(A 1 , A 2 , A 3 ) (for which holds A 1 = 0) and four types of isotropic vectors: spacelike (A 1 = 0, A 2 2 − A 2 3 > 0), timelike (A 1 = 0, A 2 2 − A 2 3 < 0) and two types of lightlike vectors (A 1 = 0, A 2 = ±A 3 ).…”