Viewing profile — Cleonis

About the stationary action concept: Yeah, it looks impenetrable, but here's the thing: there is a way of looking at it from just the right angle, and then becomes transparent. Par…

As to understanding Hamilton's stationary action deeply: that is accessible. I have created a resource with interactive diagrams. Move sliders to sweep out variation of a trial tra…

About transitioning from Classical Mechanics to QM, guided by observations. There is a very interesting approach in the quantum physics book by Eisberg and Resnick, section 5.2 To …

The rewrite of section 2 of the article is now pushed out to the web page. Repeating the links: Page dedicated to the case of a potential proportional to the cube of the displaceme…

About the article with mathematical treatment: http://cleonis.nl/physics/phys256/energy_position_equation.p... One section of that will be replaced in a day or two: the last part o…

About d'Alembert's principle. A modern name for it is 'd'Alembert's virtual work'. The modern concept of 'work done' was formulated around 1850 (Eighteen-fifty). That is, we should…

While most authors posit the stationary action concept as a given, it is in fact possible to go from the newtonian formulation to the Lagrangian formulation, and from there to Hami…

Indeed inertia. Theory of motion consists of describing the properties of Inertia. In terms of Newtonian mechanics the members of the equivalence class of inertial coordinate syste…

I will argue that 'has least action as foundation' does not in itself imply that Lagrangian mechanics is a sparser theory: Here is something that Newtonian mechanics and Lagrangian…

Thank you for taking the time to have a look. About the presentation: I think I agree: once I'm up to the level of discussing Lagrangians and stationary action I should not re-teac…

If I don't hear back in a week or so I will remind you, I hope that's OK with you. I'm aware your expectations may be low. Your thinking may be: if textbook authors such as John Ta…

Hi, I want to respond to a post from you from 2019. (That 2019 thread no longer offers the reply button, otherwise I would reply there of course.) I apologize for using this thread…

There is a way of _arriving_ at that subtraction, rather than just throwing it out there. A resource I created: Calculus of Variations as applied in physics: http://cleonis.nl/phys…

I have created a resource for the purpose of making Hamilton's stationary action transparent. It is possible to go in all forward steps from F=ma to Hamilton's stationary action; t…

In retrospect: the earliest recognition of a conserved quantity was Kepler's law of areas. Isaac Newton later showed that Kepler's law of areas is a specific instance of a property…

I have a comment about Lagrangian models. (I'm not commenting on the "All-at-once" angle, that is out of my league.) You assert a contrast, with on one hand (traditional physics) t…

I created demonstrations with interactive diagrams. http://cleonis.nl/physics/phys256/calculus_variations.php The following case is used as motivation for developing Calculus of Va…

I have created a demonstration of Hamilton's stationary action with interactive diagrams, (supported with discussion of the mathematics that is involved). Interestingly: it is poss…

About Hamilton's stationary action (which you refer to as 'least action'). I have created an educational resource in which I address the question of how it comes about that F=ma ca…

Here is one way of looking at it: statistical mechanics introduced the concept of entropy. Years ago, in school, the physics teacher gave the following vivid demonstration: The dem…

Sure enough, the principles of Carnot's thermodynamics and the premises of statistical mechanisc look quite differently. The thing is: since both form the same thermodynamics there…

Specifically about the Lagrangian of Classical Mechanics (Hamilton's Action) I have discussed that on physics.stackexchange https://physics.stackexchange.com/a/670705/ The ideas ar…

It is in fact possible to explain Hamilton's action within the context of classical mechanics. On physics.stackexchange I have discussed that, in an answer posted in oktober 2021. …

I have created a resource that I think addresses your dissatisfaction. The information is available on physics.stackexchange https://physics.stackexchange.com/a/670705 I use 'Hamil…