PHYS 200 - Fundamentals of Physics I
Lecture 14 - Introduction to the Four-Vector. The four-vector is introduced that unifies space-time coordinates x, y, z and t into a single entity whose components get mixed up under Lorentz transformations. The length of this four-vector, called the space-time interval, is shown to be invariant (the same for all observers). Likewise energy and momentum are unified into the energy-momentum four-vector. (from oyc.yale.edu)
| Lecture 14 - Introduction to the Four-Vector |
| Time | Lecture Chapters |
| [00:00:00] | 1. Recap - Consequences of the Lorentz Transformations |
| [00:06:25] | 2. Causality Paradoxes: "Killing the Grandmother" |
| [00:15:22] | 3. A New Understanding of Space-Time |
| [00:25:51] | 4. Introducing the Fourth Dimension and Four-Vector Algebra |
| [00:44:09] | 5. The Space-Time Interval, or "Proper Time" |
| [00:51:47] | 6. Deriving the Velocity and Momentum Vectors in Space-Time |
| [01:04:40] | 7. The New Energy-Mass Relation |
| References |
| PHYS 200: Lecture 14 - Introduction to the Four-Vector Instructor: Professor Ramamurti Shankar. Resources: Problem Set 7 and Solutions [pdf]. Relativity Notes [pdf]. Transcript [html]. Audio [mp3]. Download Video [mov]. |
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