14. Introduction to the Four-Vector





The interactive transcript could not be loaded.



Rating is available when the video has been rented.
This feature is not available right now. Please try again later.
Uploaded on Sep 22, 2008

For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

Fundamentals of Physics (PHYS 200)

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.

00:00 - Chapter 1. Recap—Consequences of the Lorentz Transformations
06:25 - Chapter 2. Causality Paradoxes: "Killing the Grandmother"
15:22 - Chapter 3. A New Understanding of Space-Time
25:51 - Chapter 4. Introducing the Fourth Dimension and Four-Vector Algebra
44:09 - Chapter 5. The Space-Time Interval, or "Proper Time"
51:47 - Chapter 6. Deriving the Velocity and Momentum Vectors in Space-Time
01:04:40 - Chapter 7. The New Energy-Mass Relation

Complete course materials are available at the Yale Online website: online.yale.edu

This course was recorded in Fall 2006.

  • Category

  • License

    • Standard YouTube License
Comments are disabled for this video.
When autoplay is enabled, a suggested video will automatically play next.

Up next

to add this to Watch Later

Add to

Loading playlists...