Dear Mauro
Physics is hard, I know, and that's why I adopted the ANALOGICAL method as an alternative mode of entry into it.
Analogies are ramps for people with math deficiencies to see and feel what's going on in in physics and elsewhere. If we don't use the analogical methods, we would be blind as a bat to all the interesting stuffs that is going on in the world of scholarsip and research.
I also think Feynman's all-paths formulation of quantum mechanics is a confirmation (indirectly of course) of the importance of analogies in our thoughts and thinking. If I remember it correctly, Feynman himself attributed his PI formulation to an analogy he made from Dirac's transformation equation.
It was analogy as a paradigm of duality that allows me -- a non-physics major -- to see easily and quickly that there are TWO fundamental ways of approaching quantum theory: the Hamiltonian way and the Lagrangian way. Nor was I surprised to know that elsewhere in physics, there are background-dependent and background-independent physical theories. Everything seems to be a replay of what wave is to particle from that famous double-slit experiment.
Call it what you will "It from Bit", "It from Qubit", "Particle from Wave", "Classical from Quantum", "Logic/Reason from Analogy", we are in this Circle of Twoness.
With respect and regards
Than Tin