There are two broad categories of mathematics: concocted; and fundamental. Concocted mathematics helps with the “how” of physics. Fundamental mathematics can give us the “why”.

Most of fundamental mathematics arises from the two finite series of integers:

1,2,4,8;

1,2,8,24.

The starting point of the first series is the set of parallelizable spheres; the second intersects with modular forms, Fourier transforms, and laminated lattices … at a minimum.

Sour old hamsters would advise you to ignore these quarter baked ideas, if you want a job in academia. And since they are in control, you would be unwise to ignore them. And on your deathbeds you will possibly – at best – be able to say: “I had a job.”