I finally understood why the universe needs imaginary numbers (My mind is blown!)

Try Brilliant's tutor for free: https://brilliant.org/FloatHeadPhysics/ . You’ll also get 20% off an annual Premium subscription. Get the Schrödinger's equation T-shirt here https://floatheadphysics-shop.fourthwall.com/products/whats-the-matter-schroedingers-equation-tee Join my exclusive community / floatheadphysics to see how I learn relativity, watch exclusive videos, and get early access to youtube episodes ~Chapters~ 00:00 Where does the Schrödinger Equation come from? 00:51 The hydrogen spectrum & crisis in classical physics 03:36 Birth of quantum mechanics 08:08 Where is the wave equation? 12:14 Building our first quantum wave 17:07 Building the kinetic energy operator 20:57 The heat obsessed mathematical genius 24:40 The problem with real numbers! 29:30 Where does ‘i’ come from? 34:00 The energy operator & the Schrödinger equation 36:47 Why does it resemble the heat equation (except the i) 38:41 A Nobel prize winning footnote (by Max Born) 43:12 The real world brought to you by the imaginary number (The end) Let's build the Schrödinger's equation intuitively, from scratch. We will also answer why the equation with such real world impact has to be built from an imaginary number. This video is sponsored by Brilliant