): Relational Closure as a Coarse-Grained Effective Theory: From Microscopic Structure to Macroscopic Persistence Laws
Abstract
This bridge note shows that the relational kernel \Omega=\Omega[R_c]acts as a microscopic relational substrate whose coarse-graining produces the effective macroscopic persistence law. The mapping is formally analogous to renormalization in statistical physics. Includes explicit fixed-point analysis, effective potential derivation, and connections to power-grid synchronization and swarm robotics.
Fields of Study & Subjects
Complex Systems and Dynamics
Nonlinear Dynamics and Pattern Formation
Theoretical and Computational Physics
Publication details
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Preprint