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Deriving the Lorentz Transformations | Special Relativity

In this third video of the Special Relativity series, we derive the Lorentz transformations, which map events in one reference frame to another reference frame that moves at a constant relative velocity. We also demonstrate how these transformations can be used to derive the phenomena of time dilation and length contraction that we explored more informally in the last video. Please like, comment and subscribe if you appreciate what I do! SPECIAL RELATIVITY SERIES ----------------------------------------------- I. The Michelson-Morley Experiment (   • The Michelson-Morley Experiment | Spe...  ) II. Time Dilation and Length Contraction (   • Time Dilation and Length Contraction ...  ) III. Deriving the Lorentz Transformations IV. Deriving the General Lorentz Transformation (   • Deriving the General Lorentz Transfor...  ) V. Spacetime (   • What is Spacetime? | Special Relativity  ) VI. Relativistic Velocity Addition (   • Relativistic Velocity Addition | Spec...  ) CHAPTERS ----------------- Introduction 00:00 What are the Lorentz Transformations? 00:24 Hendrik Lorentz 01:00 Proof using Spherical Wavefronts of Light 01:43 Why Linearity? 04:09 Proof Continuation 07:53 The Lorentz Transformations 13:40 Time Dilation 14:00 Length Contraction 14:45