In Einstein's theory of gravity, general relativity, massive objects like stars warp the geometry of spacetime. Then a particle travels along the straightest and shortest path that it can through spacetime, called a geodesic. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up
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This video is part 3 of the series I've been sharing with you about the principle of least action. The first video was about a particle in Newtonian mechanics, and the second was about a particle in special relativity. In this video, we'll learn about the principle of least action for a particle in general relativity. The action is just the length of the particle's worldline through spacetime, and it picks the straightest and shortest path that it can. The fourth video is about a string in string theory.
Part 1 Introduction to the principle of least action: https://youtu.be/sUk9y23FPHk
Part 2 The action in special relativity: https://youtu.be/KVk1QNTWBxQ
Part 4 The action for string theory: https://youtu.be/KpIaWiWvuRs
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About physics mini lessons:
In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video---that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own.
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at https://www.physicswithelliot.com.