I'm big on various topics ranging from topology, analysis and QED all the way to dynamical systems, thermodynamics. and mathematical biology. I've still got about a year to think about what I'd like to do for my thesis project but whatever I choose I feel like I'm leaving some of my skills out and that maybe I could really pull something note worthy with all the shit I've got under my belt.
Rather than coming up with some mostly useless problem in which I can put most of what I know to good use I was thinking about writing more of an anthology of general knowledge, of some jewels I've came up with over the years for all of the subjects, dedicating just a handful of pages to their discussion or solution. This, however leads to some problems

I've got some concerns about this because of how varied the committee will end up being which would push me to really fundamentally understand every single area of study I talk about.
That being said, I don't yet know how to look for a thesis advisor, my best bet would probably be to reach out to three different people that specialize in a couple of the topics.
I don´t even know if this is possible to come up with this as a thesis project, I've heard about people with thesis that are about like 20 ways to prove a theorem but that's mainly mathematicians, I've never heard about physicists being able to do the same with their topics.

I hope the uni will take it seriously if it's any good, if I make it happen then people will for sure take notice, but it's unknown to me if people with just laugh it off as something curious or if they'll be genuinely interested in my work. How can I pull this off /sci?