Interesting analogy hamilton’s equations and schrodinger equatoin

looks a bit like a rotatoin

Bottle vs beam problem for neutron decay, a solution?

So if I understand correctly the neutron decay can be studied ‘in a bottle’. Then it decays 10 seconds faster to a proton than when neutron decay is studied ‘in a beam’. neutron decay is around 14 minutes in total.

Neutron decay can be written as: n > p+ e+ +antiv

Now if I understand correctly, with the beam experiment it is sent into material containing stuff that can absorb the protons. In this material the amount of protons is higher. Wouldn’t this suggest that according to le chatelier than the equilibrium is more to the left? So the decay would be slower.

Simple thread through history of physics

Newton dropped newtonian mechanics

Everybody went crazy and studied in detail.

Hamilton discovered hamiltonian mechanics. He proposed phase space.

Boltzmann applied phase space to thermodynamics and created a better understanding of entropy

Planck used entropy to study blackbody radiation and started the study of quantum mechanics

Poincaré bendixson theorem and Snake game

If you have a point in a finite domain in the 2D plane and apply poincare bendixson theorem you either go to a limit cycle, periodic orbit or an equilibrium point.

An important thing to note is that paths cannot cross in the 2D plane.

So you get something like:

Now if you ever played the snake you also notice that at some point you have to follow yourself or you have to spiral inward.

Funnily enough the snake game is contained in google: https://www.google.com/search?&q=snake+game

You can even play it on google maps: https://snake.googlemaps.com/