Forest Relativity Notes
Lorentz Transformations
The picture below represents the relative orientation of two different coordinate systems
. is at rest (Lab Frame) and is moving at a velocity v to the right with respect to frame .The relationship between the coordinate
of an object in frame to the same object described using the coordinates in frame is geven by the Lorentz transformation:where
- example
- Or in matrix form the tranformation looks like
- Note
- Einstein's summation convention drops the symbols and assumes it to exist whenever there is a repeated subscript and uperscript
- ie;
- in the example above the symbol is repeated thereby indicating a summation over .