Physicist Brian Greene takes you on a visual, conceptual, and mathematical exploration of Einstein’s spectacular insights into space, time, and energy. In just 11.5 hours, using nothing more advanced than high school algebra, journey from Einstein’s earliest musings on the speed of light to his startling realization that time can tick at different rates to his revolutionary discovery of the world’s most famous formula, E = mc2. This is a more in-depth and mathematical version of the WSU Master Class “Space, Time, and Einstein.” https://youtu.be/CKJuC5CUMgU #WorldSciU Watch the class in full or view in segments via the chapter links below. Experience the associated free online course at World Science U: https://worldscienceu.com/courses/special-relativity-world-science-u/ 0:00 - Introduction 01:43 - Scale 05:46 - Speed 18:19 - The Speed of Light 27:39 - Units 33:28 - The Mathematics of Speed 44:24 - Relativity of Simultaneity 54:25 - Pitfalls: Relativity of Simultaneity 1:03:32 - Calculating the Time Difference 1:18:42 - Time in Motion 1:28:48 - How Fast Does Time Slow? 1:46:32 - The Mathematics of Slow Time 1:57:11 - Time Dilation Examples 2:10:51 - Time Dilation: Experimental Evidence 2:19:58 - The Reality of Past, Present, and Future 2:34:01 - Time Dilation: Intuitive Explanation 2:37:57 - Motion's Effect On Space 2:55:11 - Motion's Effect On Space: Mathematical Form 3:00:47 - Length Contraction: Travel of Proxima Centauri 3:07:46 - Length Contraction: Disintegrating Muons 3:12:00 - Length Contraction: Distant Spaceflight 3:18:54 - Length Contraction: Horizontal Light Clock In Motion 3:27:17 - Coordinates For Space 3:36:37 - Coordinates For Space: Rotation of Coordinate Frames 3:48:36 - Coordinates For Space: Translation of Coordinate Frames 3:53:10 - Coordinates for Time 4:07:12 - Coordinates in Motion 4:26:08 - Clocks in Motion: Examples 4:35:02 - Clocks in Motion: Length Expansion From Asynchronous Clocks 4:38:42 - Clocks in Motion: Bicycle Wheels 4:45:01 - Clocks in Motion: Temporal Order 4:54:35 - Clocks in Motion: How Observers Say the Other's Clock Runs Slow? 5:08:50 - The Lorentz Transformation 5:16:52 - The Lorentz Transformation: Relating Time Coordinates 5:26:10 - The Lorentz Transformation: Generalizations 5:33:18 - The Lorentz Transformation: The Big Picture Summary 5:47:37 - Lorentz Transformation: Moving Light Clock 5:54:39 - Lorentz Transformation: Future Baseball 6:02:35 - Lorentz Transformation: Speed of Light in a Moving Frame 6:08:43 - Lorentz Transformation: Sprinter 6:10:44 - Combining Velocities 6:17:46 - Combining Velocities: 3-Dimensions 6:27:45 - Combining Velocities: Example in 1D 6:30:23 - Combining Velocities: Example in 3D 6:36:34 - Spacetime Diagrams 6:50:35 - Spacetime Diagrams: Two Observers in Relative Motion 7:01:16 - Spacetime Diagrams: Essential Features 7:11:42 - Spacetime Diagrams: Demonstrations 7:15:23 - Lorentz Transformation: As An Exotic Rotation 7:27:26 - Reality of Past, Present, and Future: Mathematical Details 7:39:00 - Invariants 7:43:55 - Invariants: Spacetime Distance 7:54:25 - Invariants: Examples 7:59:19 - Cause and Effect: A Spacetime Invariant 8:12:40 - Cause and Effect: Same Place, Same Time 8:22:37 - Intuition and Time Dilation: Mathematical Approach 8:29:46 - The Pole in the Barn Paradox 8:43:51 - The Pole in the Barn: Quantitative Details 9:04:43 - The Pole in the Barn: Spacetime Diagrams 9:08:25 - Pole in the Barn: Lock the Doors 9:20:50 - The Twin Paradox 9:29:28 - The Twin Paradox: Without Acceleration 9:46:34 - The Twin Paradox: Spacetime Diagrams 9:53:12 - Twin Paradox: The Twins Communicate 10:06:34 - The Relativistic Doppler Effect 10:19:00 - Twin Paradox: The Twins Communicate Quantitative 10:30:17 - Implications of Mass 10:40:06 - Force and Energy 11:00:12 - Force and Energy: Relativistic Work and Kinetic Energy 11:07:24 - E=MC2 11:26:28 - Course Recap Official Site: https://www.worldscienceu.com Twitter: https://twitter.com/WorldScienceU Facebook: https://www.facebook.com/worldscienceu Instagram: https://www.instagram.com/worldscienceu/

• published: 01 Sep 2020
• views: 474324