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a are Consider a photon traveling in the x direction. Ignoring the y and z components, and setting c=1, the 4-momentum is (pp). In matrix notation, what the Lorentz transformations for the frames traveling to the left and to the right at speed v? What is the new 4-momentum of the photon in these new frames? Accepting the fact that a photon's energy is proportional to its frequency, verify that your results are consistent with the Doppler results 11+ß f' = f = V1-ß* --