Watch and track your favorite playlist.
Curated by: For the Love of Physics (233 videos)
The Principle of Least Action is one of the foundational Laws of Physics. For eg. out of the infinite paths a thrown ball could take, why does it always trace exactly one? I put the Principle of Least Action to the test — using nothing but randomness. 𓏬𓏬𓏬𓏬𓏬QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬 https://youtube.com/playlist?list=PLRN3HroZGu2mCtdalEmZAM2nr1xBWAtUn&si=8ejaL8RrSFQGbtzx 𓏬𓏬𓏬𓏬𓏬ELEVATE CLASSES𓏬𓏬𓏬𓏬𓏬 Elevate your preparation with Elevate Classes. Find LIVE & Recorded Courses for Physics IITJAM, CSIR-NET, GATE, TIFR, JEST etc on our platform. Use Coupon LOVEPHYSICS to get a 5% OFF in any course. Website ► https://www.elevateclasses.in/ Android ► https://bit.ly/3zU71ur iOS ► https://apple.co/3ZPRWVJ (use ORG code - AHGXS) 𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬 Every projectile follows one specific arc out of infinitely many possible paths between two points — and the same is true for a planet orbiting the Sun. The Principle of Least Action is the reason why. In this video I test it computationally: starting from a completely random path and using a Monte Carlo approach — random nudges, kept only when they lower the "action," with no laws of motion or forces written into the code. After thousands of iterations, that random line settles into the exact parabolic path of a thrown ball, and then into a planetary orbit. It's a simple and surprisingly beautiful demonstration that one of nature's deepest principles can emerge from nothing but randomness and a single rule. 00:00 Introduction 04:21 Comparing Action Values 08:55 Monte Carlo Simulation Google Drive Files: https://drive.google.com/drive/folders/12ETxDDajkkMYtXYHQia9msfZND64XWJo?usp=sharing 𓏬𓏬𓏬𓏬𓏬𓏬TELEGRAM𓏬𓏬𓏬𓏬𓏬𓏬 Join my Telegram Channel ► https://t.me/FortheLoveofPhysicsYT 𓏬𓏬𓏬𓏬𓏬SUPPORT CHANNEL𓏬𓏬𓏬𓏬𓏬 Your Financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness Support/ Patreon ❤️❤️❤️https://www.patreon.com/dibyajyotidas Donate/ Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics JOIN MEMBERSHIP in Youtube 😇😇😇 https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join