Relayout Saturation Under Sustained High-Density Input A Structural Analysis Using a Cyclic Efficiency Model (Ex Machina Ω v3

This record contains a research paper and an accompanying interactive HTML simulation tool. The paper, “Relayout Saturation Under Sustained High-Density Input: A Structural Analysis Using a Cyclic Efficiency Model (Ex Machina Ω v3)”, presents an abstract structural framework for analyzing failure and recovery behavior in complex computational systems subjected to sustained high-density input. The study introduces a minimal cyclic model based on three parameters—input potential (P), boundary strength (g), and relayout rate (r)—and analyzes how internally generated disturbance (ICI: Internal Circulatory Interference) accumulates or is recovered over repeated cycles. A key result is the identification of a critical efficiency threshold (~50%), below which systems enter a glassy regime where internal restructuring no longer progresses autonomously, and a recovery circulation factor (R_f ≈ 0.85) associated with stable operation under high load. The accompanying HTML file, Ex Machina Ω v3, is an interactive visualization and simulation tool implementing the same abstract model. It allows users to explore parameter regimes, observe efficiency transitions, and reproduce the qualitative behaviors discussed in the paper. The HTML is provided as a supplementary explanatory artifact and is not intended to represent, reverse-engineer, or emulate any proprietary or deployed system. This work is offered as a conceptual and analytical lens for understanding structural stagnation, recovery limits, and reset dependency phenomena observed in large-scale AI systems and distributed cloud infrastructures. It does not claim equivalence to any specific architecture and is independent of implementation details. License: Creative Commons Attribution–NonCommercial 4.0 International (CC BY-NC 4.0)