Recent content by SaintRodriguez

Two astronauts A and B are traveling at constant speed, one toward the other. From astronaut A's point of view, his partner B's clock is ticking at a slower rate than his. From astronaut B's point of view, it is his partner A's clock ticking at a slower rate. Does this set up a paradox? Because?

A curve is the math object like a function and the trajectory is the set of images that the function (curve) mapped.

Is a worldline a curve or a trajectory? Why?

Can there be worldlines that are neither timelike, nor null, nor spacelike? They can Are there curves in spacetime that are neither timelike, nor null, nor spacelike? Why?

What's the physical meaning of adding the derivative of a function to the Lagrangian and to the Hamiltonian?

Hey I have a question about the relation between Legendre transformation and Hamilton-Jacobi formalism. Is there some relation? Cause Hamilton-Jacobi is the expression of Hamiltonian with a transformation.

Thank you very much!

I am in Classical mechanics course at university. I have seen Lagrangian and Hamiltonian formalism, Routh formalism, Legendre transfomation, etc.

I was wondering if someone can telling me a topic about classical mechanics which I can write an essay. First I thought to write about Legendre transformation, but I guess that is very general. Also, if someone can tell me some tips to write an scientific essay I'll be so glad.