Hi Brad, thank you for the comment! I am going to revise the post and I will make sure to go through the lecture you mention.
Hi Jakub, this is nice work, so nice that you are reminding me of William Harter's class at the University of Arkansas. Please have a look at the reference I mentioned, the fourth lecture at about the 50th slide. He has previously worked extensively on kinetic oscillators, and explains linear space dependency and quadratic mass dependency in a simple functional form.
