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14. Introduction to the Four-Vector

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 Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2006.


Tags: Conservation, Einstein, Energy, Euclidean, Fermilab, Law, Newtonian, physics, relativity, space
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Lecture 2 | Modern Physics: Quantum Mechanics (Stanford)

Lecture 2 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded January 21, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern physics. The topics covered in this course focus on quantum mechanics. Leonard Susskind is the Felix Bloch Professor of Physics at Stanford University. Complete playlist for the course: http://youtube.com/view_play_list?p=189C0DCE90CB6D81 Stanford Continuing Studies: http://continuingstudies.stanford.edu/ About Leonard Susskind: http://www.stanford.edu/dept/physics/people/faculty/susskind_leonard.html Stanford University channel on YouTube: http://www.youtube.com/stanford


Tags: Physics, algebra, basis, calculus, column, complex, dual, einstein, functions, geometry, linear, math, mechanics, numbers, principle, quantum, relativity, separation, space, spaces, statistics, uncertainty, variables, vector, vectors
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