Ball Lightning, Recursive Collapse, and the Fold-Vortex Model of Emergent Coherence

This paper presents a unifying conceptual frame across plasma physics, recursive integer dynamics, and emergent biological organization. Ball lightning is interpreted as a self-organizing plasma attractor formed through collapse and constraint. Similar collapse pathways appear in recursive integer systems such as Collatz-type dynamics, in the irregular spacing of primes, and in the resonance lanes of the Riemann spectrum.

The Fold-Vortex Model proposes that systems under constraint follow a shared developmental sequence: collapse, constraint, stability, vortex formation, irregularity and coherence. The Amoeba Metaphor is introduced as a biological analogue. Individual components form higher-order structures, similar to plasma filaments forming a coherent sphere, or recursive number paths forming stability islands.

The goal of this work is not to conflate physical, numerical, and biological domains, but to identify the common mathematical behavior underlying their self-organizing attractors. This paper serves as the foundational statement of principles for further development of Fold-Vortex theory.