Action principle: geometric and physical interpretation

Gabriele Carcassi • March 18, 2023

Gabriele Carcassi

About

I am a researcher at the University of Michigan and I work on a project that aims to rederive the basic laws of physics from a handful of physical ideas (see http://assumptionsofphysics.org). In some videos I try to condense the insights I gain in a way that is (hopefully) accessible to beginner students in engineering, math and physics. In other, I present the latest advances of our research. If you like the videos, you may also enjoy my blog at: http://sufficientlywise.org/ You can also follow me on Facebook: https://www.facebook.com/Assumptions-of-Physics-107629167617556

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Video Description

Ever wondered what is the Lagrangian? What is the action? What does the action means physically? Whether there is a geometrical interpretation for the action principle? I certainly have for a long time! In this video I show you what I understood. Full details in the paper https://doi.org/10.1038/s41598-023-39145-y (pre-print at https://arxiv.org/abs/2208.06428 ) Intro (0:00) Geometrical insight (1:27) L ≠ T - V (6:19) Hamiltonian (Det/Rev) flow (8:18) Action principle explained (15:22) Conclusion (20:03)

Action principle: geometric and physical interpretation

Gabriele Carcassi

About

Latest Posts

Quantum mechanics is low entropy, classical mechanics is high entropy

Why time is not an observable (i.e. Hermitian operator)

Why space is three dimensional

Video Description

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