EF-Dynamical Systems v1.0: Attractors, Loops, Regime Transitions, and Recovery Dynamics in Emotional Field Theory

EF-Dynamical Systems v1.0 is a Foundation Extension of Emotional Field Theory (EF). It formalises the informational agent IA as a discrete-time, operator-controlled dynamical system whose state evolves through distinguishability structure, duplication and distinction rates, conductance, resistance, incoming distinction flow, and operator selection. The document supplies the formal dynamical layer required by later EF modules. It defines a finite-local state space compatible with EF-Topological Foundations v1.0, gives the relative-rate condition for density reduction, defines O0-loops and O0-dominant attractors, formalises density traps, distinguishes conductance collapse from informational death, replaces the overbroad draft use of “bifurcation” with the stricter notion of regime transition, and defines recovery as controlled density reduction with non-contraction of a topological core. This document is a formal theoretical extension. It does not provide clinical, therapeutic, educational, organisational, political, or engineering recommendations. The construction is finite-local and discrete-time. Document type: Foundation Extension — Emotional Field TheoryAuthor: Elena PavlovaORCID iD: 0009-0008-0372-166XDocument DOI: 10.5281/zenodo.20123801Theory corpus DOI: 10.5281/zenodo.19924326Topological foundation DOI: 10.5281/zenodo.20117981License: CC BY-NC-ND 4.0

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