No problem, I was definitely looking for corrections and improvements so any criticism is most welcome.

In fact, we remove the overlap to end up with particle that are isolated from each other. We want clean signatures. Of course, I didn't fully address isolation yet (this is for next week) but I wanted to add you an appetizer ;)

I will add a note about isolation.

Here, everything is relativistic. The p = mv relation has to be modified accordingly.

Ah, didn't think about that. I read about it before but it didn't cross my mind. Will correct the text.

Finally, I think your post would benefit to be divided in different sections, facilitating the reading for anyone not familiar with the topic :)

Good idea. I will revise the structure of the post.