I'd like to have model that gives me an intuitive understanding of the universe and its contents and that works for both gravity and particle interactions.
Both general relatiity and quantum mechanics indicate to me that a particle's energy extends out from it's location, so I wanted a model that incorporated that idea.
Anyway, I was thinking about trying to create a mathematical similar to the wave front tracing models used for acoustic waves in geologic imaging. I could create a relativistic mesh where each cell has the appropriate rate of time and stretchiness of space and then piecewise solve the schroedinger equation in each cell. However, I don't quite see how to make it work for high speed particles or for many particles.
It is just an idea I had about how to structure a model that helps with those issues and that is still intuitve. However, I don't know if I can make it work.