further reformulation

[`hýsøŕ]

I've learned that a while ago, several reformulations of classical mechanics were made, like lagrangian, hamiltonian mechanics and poisson brackets and things, which can do all kinds of fancy stuff that would be incredibly difficult or impossible using the original mathematical picture of newtonian mechanics. Is there any hope or need for more reformulation? sounds like a fun thing to do to be honest lol

[studiot]

 

Is there any hope or need for more reformulation? sounds like a fun thing to do to be honest lol

 

 

It is indeed fun and also very much a live and developing subject.

 

The real question is where do you stop?

 

Alongside the techniques you mentioned should perhaps be placed the calculus of variations and use of generalised coordinates.

 

Probably the most modern developments are the applications to finite and boundary element calculations, powder and granular mechanics.

[`hýsøŕ]

interesting, I don't think you should ever stop as long as you're bored and have nothing to do hehe.

 

and yeah granular mechanics sounds like an area that might have some nice uses. i've heard bouncing sand can be considered like a new state of matter in some sense.

 

the other day for interest's sake (i doubt it'd have much real use) i was tryinga see what happens to regular old newtonian mechanics if you have more than one time dimension, so i got that you'd need more than one velocity (one for each time coordinate) but im not even sure if this really even counts as a reformulation at all.

 

does quantum mechanics ever get reformulated?