PHYS 3310 Module 1.5

The Lorentz Transformation

Recommended Reading

1.5 The Lorentz Transformation

Learning Objectives

  • Describe the Galilean transformation of classical mechanics, relating the position, time, velocities, and accelerations measured in different inertial frames
  • Derive the corresponding Lorentz transformation equations, which, in contrast to the Galilean transformation, are consistent with special relativity
  • Explain the Lorentz transformation and many of the features of relativity in terms of four-dimensional space-time

Lorentz Transformation

Practice!

Practice 1.5.1
A MARTA bus travels down Peachtree Street at speed 4/5c. At 7:00pm, streetlights on Peachtree all turn on simultaneously (in the frame of the street). ln the reference frame of the bus, the streetlights ahead of the bus turn on:
(a) At the same time as the streetlights behind the bus
(b) After the streetlights behind the bus
(c) Before the streetlights behind the bus
(d) There are way too many people on the bus and there is no way to tell which lights come on first since you can’t see out any of the windows.
Check your answer: (c) Before the streetlights behind the bus