\section*{Purpose and inevitability of the proxy}

SFT targets a higher relational claim: the ``form'' of a point is not a property of the point in isolation, but an invariant of the pair $(M,p)$ and the structures that make $(M,p)$ intelligible. Because that claim is difficult to formalize directly, SFT begins with a principle-identical proxy (PIP): the smallest observable structure that preserves the invariant and gauge logic of the higher aim. Syncre is that proxy. A single global instant becomes a spatial field of cycle-valued phase labels, and the central question becomes structural: under what minimal cyclic symmetry and nondegeneracy conditions is slice-wise coverage forced, stable, and the only compatible outcome. The program then strengthens the proxy by adding witness engines, obstruction taxonomy, quantitative stability margins, correct targets under coupling, dynamics preservation, and convergence certificates.
