The Structural Architecture of Reconstructible Persistence: La Profilée - With the Asymmetry Law as Structural Core

This work formulates a minimal structural principle for persistence under real transformation.The starting point is a transformation system consisting solely of a non-empty set of states and a set of realizable transformations closed under composition.No physical assumptions and no ontological presuppositions are made.In particular, no metric, no topology, no probability, and no external time structure are assumed.The question examined is under which structural conditions identity under change can remain specifiable and reconstructible.Reconstructible referential persistence is defined as the simultaneous exclusion of reference splitting and irreversible reference merging.Identity may neither fragment under transformation, nor may real transformation irreversibly erase differences.However, if neither splitting nor irreversible merging are permissible, then the transformation structure itself must stably respect certain differences.It is shown that nontrivial reconstructible persistence forces the existence of a nontrivial transformation-stable equivalence relation (frame).As a corollary, the asymmetry law follows: Total symmetrizability excludes reconstructible difference.La Profilée denotes the structural architecture under which reconstructible duration becomes possible.The result is conditional-universal and domain-independent.It holds for every system in which identity across transformation is meaningfully asserted.