A good thesis to read IMHO; relates to mathematical issues of Quantum Mechanics. I sometimes link to it when Rigged Hilbert Spaces are relevant to a discussion; Quantum Mechanics in Rigged Hilbert Space Language by Rafael de la Madrid Modino:
http://galaxy.cs.lamar.edu/~rafaelm/webdis.pdf
The purpose of a PhD program extends beyond producing a dissertation (thesis). It's a transformative journey that equips you with the skills and mindset of a researcher, fostering personal growth and intellectual curiosity.
Some think it is a necessity to become a researcher. It isn't. My Operations Research lecturer famously did not have a PhD, but rather a DSc, which you get by submitting work you already have published. He was grabbed by IBM before doing his PhD. Dyson famously worked with Bethe and Feynman (and was a good friend of Feynman) to produce his groundbreaking work linking the approaches of Schwinger, Feynman, and Tomonaga. That alone was worthy of a DSc (and a Nobel Prize, but they already had the max of three in Feynman, Schwinger, and Tomonaga), but he just couldn't be bothered; in fact, he was not even a fan of the system. It is rumoured Feynman was secretly jealous because he wanted to say - hey buddy even I know that, and I do not have a PhD. When Dyson was lecturing on his work, Feynman knew all about it. He sat at the back of the lecture and kept all those nearby in stitches with jokes. In the end, he said - you're in Doc - meaning, of course, for him, a PhD was irrelevant. A dissertation is important as it is an actual published work that must be formally defended, but the real value of a PhD is the mentoring you get on doing research. This can be got in many ways, as my Operations Research professor and Dyson can attest to.
Thanks
Bill