Matter as Frozen Geometry: Dynamostasis and Topological Selection in an Informational Field

This work introduces Dynamical Informational Field Theory (DIFT) as a unifying, phase–topological framework in which matter is interpreted as frozen geometry: a long-lived, dynamically selected organisation of a complex informational field. The central claim is ontological as well as technical: what we usually treat as “particles”, “mass”, and even “vacuum structure” are not fundamental categories, but regimes of informational organisation, separated by dynamical thresholds and by topological selection. A key empirical motivation is the asymmetry between synthesis and persistence. In nature, stable structures typically require extreme conditions to form (early-universe nucleosynthesis, stellar environments, high-energy collisions), yet once formed they persist without continuous energetic support. Standard theories describe this fact but do not explain it as a general organising principle. DIFT proposes that this asymmetry is the signature of dynamostasis: the formation of long-lived informational plateaux (locally stabilised domains) whose persistence is secured by geometric locking and boundary saturation. In this sense, stability is not merely energy minimisation; it is a combined outcome of dynamical relaxation, phase rigidity, and topological protection. Within DIFT, the phase field \theta is treated as a carrier of geometric and relational information. Quantised winding and its persistence under perturbations provide a natural criterion for distinguishing transient coherent objects from stable matter-like structures. The framework therefore separates three phenomenologically relevant classes of organised states: transient symforms (short-lived resonances), dynamostatic plateaux (long-lived but non-particle mass-like structures), and topologically closed configurations (fully protected matter). This classification naturally suggests a phase diagram of informational reality, controlled by dimensionless similarity numbers comparing pumping/forcing, dissipation, curvature/topological rigidity, and diffusive smoothing. The proposed viewpoint also provides an ontological reinterpretation of high-energy phenomenology: collisions are treated as localised phase transitions and topological ruptures within the \Phi-field, producing cascades of transient symforms rather than “creation of fundamental particles” in the literal sense. At macroscopic scales, gravitational sourcing is attributed to the energy–momentum content of coherent informational geometry (phase gradients and boundary layers), allowing—at least at the level of principle—for mass-like gravitational effects without stable particle content. This offers a concrete route to interpreting dark-mass-like phenomenology as long-lived, geometry-dominated structures rather than necessarily new particle species. This Zenodo record provides a submission-ready presentation of the DIFT program centred on dynamostasis and topological selection as the organising principles behind matter, mass, and vacuum structure. The work is intended as a bridge between communities: it is written to be legible to physicists and mathematicians interested in regime theory, topology, and emergent effective descriptions, and to philosophers of science concerned with the status of ontology, explanation, and the meaning of “existence” as stability. The framework is explicitly constructed to admit falsifiable distinctions—most notably between synthesis and persistence, between topology and excitation, and between particle ontology and mass as informational geometry.