A.3.3:4.1 - Definition

U.Dynamics is a same-individual dependent kind of U.Episteme. Membership holds when one already identified episteme has the changing subject as its exact C.2.1 EntityOfConcern and its ClaimGraph, interpreted under the effective U.ReferenceScheme, substantively declares both a state space and a state-transition law for that subject. The law may include exogenous inputs, constraints, disturbances, and an observation relation.

The C.2.1 ClaimGraph, exact EntityOfConcern, and effective U.ReferenceScheme remain the episteme’s identity discriminators. A.3.3 adds no context field or second dynamics identity. A U.ClaimScope, operating region, applicability window, qualification interval, parameter regime, or scale band enters only through the exact claim that uses it and its subject pattern; changing one can change claim content without becoming an ambient container.

U.Dynamics can declare a deterministic transition, permitted alternatives, a probability law over continuations, or a combination of these. Its time description can be continuous, discrete or hybrid. It can make state-change claims about physical systems, software services, organizations, epistemes, claim portfolios, resource states, architecture characteristics, or another exact EntityOfConcern. If several subjects are jointly modelled, the exact C.2.1 EntityOfConcern must itself be an independently identified collection, system, or other admitted subject.

If empirical grounding is claimed, state the exact C.2.1 EpistemeEmpiricalGroundingRelation.