Field–Dynamics: a minimal relational framework

This work introduces Field–Dynamics (FD), a minimal abstract framework for describing dynamics as relations over spaces of possibilities. FD is intentionally pre-interpretative: it does not assume time, metric structure, probability, agents, laws, optimization, or semantics. The framework isolates a single formal object (X,Σ), where Σ ⊆ X × X is a relation encoding admissible transitions, together with a small collection of qualitative field-types defined purely in relational terms. The purpose of FD is not to model concrete processes, propose algorithms, or derive applications. Rather, it serves to make explicit a minimal formal substrate that can later be specialized or extended by additional structures (such as observation, selection, or constraints), without committing to any particular interpretation. No claims of completeness, universality, or empirical adequacy are made. FD is presented as a foundational reference framework, intended to clarify what is — and is not — assumed when speaking abstractly about “dynamics” across different domains.