Abstract: Spacetime geometric algebra is a unified mathematical language for physics. The geometric representation of spacetime and the use of four-vectors are vital to the successful findings of three-dimensional, four-dimensional non-Euclidean geometry in Lorentz and Galilean transformations. Thus, the usual opinion that there is a sole set of events presents now in a three-dimensional or four-dimensional spacetime cannot be continual. The geometric representations discussed in this study include the following: Minkowskis path to spacetime Galilean transformation as a geometrical representation of motion Lorentz transformation as a geometrical representation of inertial frames and worldline of a particle. The expansion of the special relativity theory using four-vectors space-time four-vectors.
JP.C. Mbagwu, B.I. Madububa, Z.L. Abubakar, C.C. Edebeatu and J.O. Ozuomba, 2021. Space Time Physics with Geometry and the use of Four-Vectors: A Review. Research Journal of Applied Sciences, 16: 212-223.