However, in the differential geometric literature on the Thomas-Yau conjecture, one often attempts to go beyond all these aspects of mirror symmetry, and tries to directly compare the space of Lagrangian submanifolds inside $X$, with the space of holomorphic vector bundles equipped with Hermitian metrics over $X^{\vee}$. This comparison must be treated with caution, because there is no general bijective correspondence between these two infinite dimensional spaces, and because mirror symmetry is properly a quantum phenomenon which is not fully captured by classical considerations. In fact, mirror symmetry only relates $Fuk(X)$ and $Coh(X^{\vee})$ after taking the derived category, and there is no general reason for the heart of a preferred $t$-structure on the derived Fukaya category (e.g. the $t$-structure defined by some almost calibrated condition) to agree with $Coh(X^{\vee})$. Having vaccinated the reader with these precautions, we shall regard such comparisons as useful formal analogies, and we consider those aspects with quantum interpretations as more reliable.