Infinite Core Scaling: A Minimum Viable Model for Logarithmic Growth in Digital Fabrica Theory

👤 Author

• Ivan Pasev,
  Founder, GILC and DFT

🧠 Abstract / Description

This technical whitepaper presents a minimum viable model (MVM) for achieving logarithmic scalability in decentralized networks under Digital Fabrica Theory (DFT). By applying Adrian Mathias’ theory of “happy families” to well-founded ordinal hierarchies, and integrating recursive subnet generation via fractal topology and Ramanujan graphs, the model ensures infinite-scale growth with formal termination guarantees. A β-scaling protocol and Hausdorff dimension control (DH = 1.5) anchor structural logic, while the proof confirms that total system complexity reduces to O(log n). A Motoko smart contract prototype demonstrates the architecture’s operability within Internet Computer platforms.