Symmetries & Conservation Laws: A (Physics) Love Story

There is a deep connection in physics between symmetries of nature and conservation laws, called Noether's theorem. In this physics lesson I'll show you how it works. Get the notes for free here: https://courses.physicswithelliot.com...

The relationship between symmetries and conservation laws is one of the most profound and far-reaching connections in physics. The central result is called Noether's theorem, and it says that for every continuous symmetry of the Lagrangian or action for a system, you'll find a corresponding conserved quantity. Momentum conservation, for example, follows from a symmetry called spatial translation invariance, meaning that you can pick up your system and slide it over without changing anything about the physics. Likewise, angular momentum conservation follows from rotation invariance, and energy conservation from time translation invariance.

Get all the links here: https://www.physicswithelliot.com/noe...

Introduction to the principle of least action:    • Explaining the Principle of Least Act...  

Intro to Lagrangian (and Hamiltonian) mechanics:    • Lagrangian and Hamiltonian Mechanics ...  

The Hamiltonian version of Noether's theorem:    • The Most Beautiful Result in Classica...  

Tutoring inquiries: https://www.physicswithelliot.com/tut...

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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.