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\section{Special Relativity}  \subsection{Lorenz Boosts}  For a boost in the x direction,   \begin{equation}  \begin{split}  t' = \gamma ( t - v x) \\  x' = \gamma (x - vt) \\  y' = y \\  z' = z \\  \end{split}  \end{equation}  More special relativity equations:  \begin{equation}  \begin{split}  l' = \gamma l \\  \end{split}  \end{equation}  where   \begin{equation}  \gamma = \sqrt{1-v^2}  \end{equation}  \subsection{Principle of Equivalence}  \bullet elevators in a feely falling elevator on earth experience the same physics as someone who is not in the elevator. From this you can get the bending of light