This publication is the second foundational component of the Dellomonaco Cosmology Programme. Whereas Paper I established the ontological basis of the RMB (Raum–Materie–Bewegung / Space–Matter–Motion) framework — in which space emerges dynamically from persistent motion — Paper II develops the internal dynamical structure required to turn that ontology into a functional cosmological model. The work introduces motion–space coupling operators as the core mechanism through which spatial structure is generated and maintained. Inertia and gravitation are shown to emerge as scale-dependent manifestations of the same dynamical coupling, without invoking a predefined geometric background or external force laws. Temporal ordering arises naturally from the history-dependent accumulation of spatial response, providing a dynamical origin for the arrow of time. Mathematically, the paper formulates a minimal but explicit field-based representation for motion, spatial response, and their feedback interaction. This system defines the primary dynamical backbone of the Dellomonaco Cosmology, while remaining open to analytical and numerical refinement. Paper II is fully theoretical and does not attempt to match observational data. Its purpose is to establish a self-consistent, dynamical foundation upon which projected observables and cosmological phenomenology are constructed. These observational consequences are developed in the forthcoming Paper III. This work is published as part of a larger open-science effort to formulate, simulate, and validate a cosmological model in which space, inertia, gravitation, and time emerge from motion — rather than being assumed as independent primitives. Series Context– Paper I: Ontological foundation– Paper II: Dynamical formulation (this work)– Paper III: Observable-level mapping (in preparation)