Derivation of General Lorentz Transformation with Rotation Matrix

What happens to Lorentz transformations when objects move in any direction in 3D space — not just along x-axis? In this video, we explore how to derive the general Lorentz transformation for arbitrary 3D velocities using rotation matrices. Starting from the basic 1D Lorentz boost, we align any velocity vector with the x-axis, apply the boost, and rotate back. You'll hunt: • The symmetry behind special relativity • How 3D rotation matrices work • Full derivation of the general Lorentz transformation • Physical intuition behind spacetime transformations ➔ Everything comes from science. 0:00 Introduction 0:25 1D Lorentz Transformation Recap 1:00 Symmetry of Physical Laws 1:30 Why Use Rotation Matrices? 2:00 Derivation of Rotation Matrices 4:13 Aligning the Velocity Vector 5:25 Final Rotation Matrices and Inverse of Them 5:45 Derivation of General Lorentz Transformation 6:30 Physical Meaning of the General Lorentz Transformation #LorentzTransformation #SpecialRelativity #Rotation #Physics