I recently realized how odd it is that studying physics has never been able to hold my interest despite how interesting I find physics. I came to the conclusion that it is because I've always felt lost while studying physics. There are so many theories and it is hard to figure out how they all relate to each other. For example, it is rarely clear to me which theories describe high-level phenomena (e.g., thermodynamics) and which are currently considered fundamental (I don't know an example). Also, I am rarely sure of the context in which a theory holds.
I would love a resource that gives the important equations in physics in some logical order with a focus on the model in which the equation operates. It should describe the aspects of the real world that the model is capable of representing and those that it cannot. It should describe the mapping between the model and the real world. It should describe which models subsume other models and which equations derive from more fundamental equations. In the end, I would like to understand (or at least have some insight into):
- which models and equations are currently accepted as the most fundamental,
- the current state of the problem of finding a unifying theory, and
- which real-world phenomena have yet to be captured by any model/equation.
So, I'm basically looking for a mathematical road map of physics so that I can orient myself before learning more in depth about specific topics. Does such a resource exist?