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In this fourth video of the Special Relativity series, we derive the general (matrix) form of the Lorentz transformations for an arbitrary boost velocity in 3D space.
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SPECIAL RELATIVITY SERIES
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I. The Michelson-Morley Experiment ( • The Michelson-Morley E... )
II. Time Dilation and Length Contraction ( • Time Dilation and Leng... )
III. Deriving the Lorentz Transformations ( • Deriving the Lorentz T... )
IV. Deriving the General Lorentz Transformation
V. Spacetime ( • What is Spacetime? | S... )
VI. Relativistic Velocity Addition ( • Relativistic Velocity ... )
CHAPTERS
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Introduction 00:00
Derivation (x, y, z) 00:55
Derivation (t) 03:55
Matrix Form 05:00
Position Four-Vector 05:45
Spacetime Interval 07:05