Maybe I can make my question simpler:
In general, how does one conduct mathematical research where the question involves finding the relation between two separate mathematical topics?
I'm doing my first undergrad research project and I'd like some advice.
The problem statement is "Find the relation between the Feynman Path Integral and Distributional Modes."
I have outlined my approach as follows:
I. Research basic quantum physics and terms (plancks constant, hamiltonian, lagrangian, etc.)
II.Deep research on Feynman Path Integrals
III. Deep research on Distributional Modes
IV. What does it mean to find the relation between these two things? At what point can I say I've found a relation, or at what point can I say there is no relation? Also, there might be a relation but it might be contrived. How do I know if it is a true relation or not? (I figured I need to answer these questions before I can actually find the relation )
V. Find the relation.
Is there any advice you could offer me? Any help would be appreciated.