The Physical Law of Persistence of Real Systems - La Profilée

This work establishes a physical law of nature governing persistence under real transformation. From minimal physical assumptions — distinguishable states, physically realizable transformations, entropy balance, and identity-defining constraints — 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. A physically defined identity entropy is introduced, grounded in the Boltzmann entropy of the constraint-restricted state space. This yields a dynamical balance equation between entropy influx, dissipation, and constraint-preserving processes. The resulting formulation defines a universal physical condition under which persistence of real systems is possible. The variables R, I, F used in this paper correspond to the physical instantiation of the structures F, M, C established in „The Law of Persistence of Real Systems“. Any physical system that persists under real transformation must continuously counteract entropy influx not only in magnitude, but in structure. Persistence is therefore not determined by entropy balance alone, but by the fraction of dissipation that preserves identity-defining constraints. This work formalizes this requirement as a physical law.