Cognitio Recurrens: A Phase Ontology of Cyclical Mind

This paper develops a phase-theoretical model of cognition grounded in the cyclical structure of epistemic emergence. Departing from linear conceptions of inference and representation, it proposes a four-phase architecture—recursion, iteration, asymptotic stabilization and reinitiation—through which knowledge arises, stabilizes and transforms. Rather than converging upon static truth, cognition is described as a recursive resonance process wherein form reconfigures itself across cycles of phase alignment. Recursion initiates sense through self-reference; iteration stabilizes meaning through repeated engagement; the asymptote represents a horizon of coherence without finality; and reinitiation marks the return of form under shifted conditions. These phases comprise a dynamic, non-linear topology of thought wherein time is folded, not extended and truth appears as the persistence of form across transitions. Cognition, under this model, becomes the active modulation of resonance within the temporal geometry of recurrence.