Constrained Structural Freedom: A Variational Formulation of the Principle of Maximal Freedom in Temporal Rate Ontology

The Principle of Maximal Freedom (PMF) has served as the central dynamical orientation of Temporal Rate Ontology (TRO), directing DAG continuation growth toward configurations of higher continuation multiplicity. In its existing formulation, however, PMF functions as a meta-principle rather than a precise variational law: it orders admissible extensions but does not specify what quantity is extremized, over what trajectory class, or under what constraints. This paper upgrades PMF to a genuine variational principle. We introduce a finite-horizon constrained structural freedom functional, in which continuation multiplicity gain is balanced against a synchronization cost penalizing temporal-rate disparity across…