Earlier quoted context omitted.
My hobby is to look for a physics theory of everything (ToE). I have virtually no chance at succeeding at this, but it's fun reading through random junk on ArXiV. I noticed something similar: You can find papers by clearly crazy people that have nuggets of good ideas in them. Odd bits of mathematics they reference might be an interesting rabbithole to go down, even if it ultimately leads nowhere. The whole thing remi…
Have you taken a look at Wolframs ToE? I found it pretty intriguing.
My current set of candidate pet theories are all based on a vaguely similar foundational notion that the physical universe isn't made up of "matter on top space-time", but rather that there is a single space-time-matter fabric.
For example, to create matter, space-time must be affected (curved). Or to put it another way, all particles have mass-energy (spacetime curvature) because they are space-time-matter curvature. The idea is to unify QM and GR by making fundamental particles have geometric properties that satisfy GR at all scales.
Some of these notions are present in Wolfram's ToE implicitly, so it's possible that there is a connection. However, he isn't yet at the point where he can derive, say, the mass of an electron from first principles based on how much its specific topology curves space-time-matter.