The Law of Persistence of Real Systems - La Profilée

This work establishes a law of nature governing persistence under real transformation. From minimal assumptions — distinguishable states, admissible transformations, and identity relations — it is shown that unrestricted transformation leads necessarily to identity collapse. Persistence is therefore possible only under structural constraint. It is proven that such constraint induces a canonical decomposition of the state space, a structural asymmetry between invariant and transformable components, and a necessary coupling structure regulating transformation. These structures are not introduced but derived from the transformation system and the identity relation via the condensation structure and the identity quotient. The resulting architecture — La Profilée — specifies the necessary conditions under which persistence under real transformation is possible.