Relativistic
Lorentz invariance Newtonian physics assumes that absolute time and space exist outside of any observer; this gives rise to Galilean invariance. It also results in a prediction that the speed of light can vary from one reference frame to another. This is contrary to observation. In the special theory of relativity, Einstein keeps the postulate that the equations of motion do not depend on the reference frame, but assumes that the speed of light c is invariant. As a result, position and time in two reference frames are related by the Lorentz transformation instead of the Galilean transformation. Consider, for example, one reference frame moving relative to another at velocity v in the x direction. The Galilean transformation gives the coordinates of the moving frame as t ′ = t x ′ = x − v t {\displaystyle {\begin{aligned}t'&=t\\x'&=x-vt\end{aligned}}} while the Lorentz transformation gives t ′ = γ ( t − ...
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