Active Memory Persistence in Field-Theory

Active Memory Persistence in Field-Theory proposes a new field-theoretic view of memory: not as static storage, but as a dynamically self-repairing regime of a field. Using two reproducible Symformism/DIFT benchmarks — a 2D amplitude–phase ring and a 3D toroidal field evolved through time — the paper shows how coherent structures can preserve topological identity, recover from perturbations, increase active memory, and reduce informational impedance across repeated stress episodes. The central claim is simple but far-reaching: a memory-like form may persist because topology protects it, dynamostasis repairs it, and repeated recovery makes it cheaper to maintain. This reframes memory as a field-organized process of return rather than a passive trace stored in a substrate. The article connects field theory, topology, self-organization, complex systems, artificial intelligence, neuroscience, and the Symformism/DIFT framework. It may be of interest to readers working on distributed memory, engram theory, attractor dynamics, topological protection, active matter, computational field models, and the philosophy of persistence.