I find that your presentation is charming, but the video doesn't contain enough in terms of actual physical intuition. There are lots of very important aspects that could've been explained instead of what has been shown as just a optimization problem, such as showcasing the geometrical interpretation of the lagrangian and Hamiltonian, momentum and energy, perhaps even Hamilton Jacobi.
Thank you for your feedback. Indeed as a physicist by heart I share your concerns. It was designed as a contribution for a math contest. It didn't perform well in this contest neither, but I'm happy with it nevertheless. I'm still new to the animation business and I learn a lot each time I make a new video.
You need to change the tag from #some to #some1. Also your video is great and I am really excited that this competition has allowed me to discover your channel.
The principle of least action is the same as saying the universe is smoothly differentiable. All moments in time can't be the same, otherwise there would just be one of them, but the existence of our consciousnesses within those moments causes us to perceive them as being ordered by maximum similarity.
Thank you for commenting on the principle of least action. But I have to confess that I don't really understand the connection between the different aspects that you mention.
@@Number_Cruncher It comes from a version of the mathematical universe where you view every time slice of the universe as a complicated mathematical object with platonic existence. Time emerges from these slices when you order them by similarity. But that raises the question, why would you order them that way? One answer is that there is no reason, and they're not generally ordered. We perceive them as ordered because consciousness is a pattern in these slices which imperfectly reflects nearby slices in the past and future. The principle of least action made me think of this because I see it as another way of saying that the time slices of the universe are ordered by similarity, ie minimum difference between the slices.
