Mathematical and Physical Definition of Special Theory of Relativity

Mathematical and Physical Definition of Special Relativity

Mathematical Definition

Special relativity is the unification of space and time.

4 dimensional coordinate is the unification of time coordinate ct and space coordinate x where time coordinate is scalar and space coordinate is a vector

x^µ = (ct, x, y, z) = (x⁰, x¹, x², x³) = (x⁰, xⁱ)

Special relativity is the study of spacetime laws of physics with respect to inertial frame of reference

Physical Definition

Physically special relativity is the unification of scalars and vectors

4 current density is the unification of charge density r and current density J

J^µ =  (J⁰, J¹, J², J³) = ( r, Jⁱ)