Metaformalism and Harmony: Rhythmic Selection and Polyphonic Organization at the Edge of Chaos
Abstract
This work proposes an extension of metaformalism by introducing harmony as a fundamental organizing principle alongside symmetry. It is shown that the stability of complex systems does not arise from the suppression of variability, but from its coordinated coexistence across time and scale. At phase boundaries—in turbulent zones between order and chaos—rhythm plays a central role, preserving structural memory even in regimes close to dissonance. A conductor mechanism is introduced as a meta-operator of harmonic selection, organizing multiple competing rhythms into a polyphonic structure, together with a synchronizer ensuring local phase coherence. Within this framework, the quantity is interpreted as an emergent scale of rhythmic coherence arising at the boundary of phase regimes. The proposed approach allows the Universe to be understood not as a system striving toward static order, but as a stable polyphony organized at the edge of chaos and order.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 January 2026
- Language
- EN
- Document type
- Preprint