The Oasis Trilogy: Computational Gravity, Fibonacci Geometry, and the Euler Engine (ODSC v1.0 Framework).

The OASIS Trilogy is a three-part research program exploring computational efficiency, stability, and resilience in complex information systems through complementary physical, geometric, and thermodynamic perspectives. A unified computational framework integrating informational gravity ($\kappa_{VP} \approx 2.3$), non-resonant network routing via Fibonacci geometry ($\phi$), and thermodynamic temporal scaling via the Euler Engine ($e$). This framework provides a new paradigm for hardware efficiency, distributed consensus stability, and security through 'Gravitational Cushioning'. Published under the Oasis Dual Scientific-Commercial License (ODSC v1.0) with explicit exemptions for EU Sovereign use. Paper I – Computational Gravity introduces an informational coupling parameter with a characteristic value close to 2.3, describing how information flow experiences increasing resistance under sustained computational load. This work provides a conceptual and computational model for understanding load saturation, throttling behavior, and performance degradation in processing systems. Paper II – Fibonacci-Based Geometric Structuring investigates how Fibonacci-related ratios, with a characteristic value close to 1.618, can be used to organize routing, scheduling, and data distribution paths. The study shows that such geometric structuring supports minimal-action paths, improving stability and reducing fragmentation in distributed and heterogeneous environments. Paper III – Eulerian Thermodynamic Control completes the framework by introducing a time-regulation mechanism based on natural exponential behavior, characterized by a base close to 2.718. This approach enables smooth thermodynamic adaptation of computational processes, minimizing energy dissipation while providing intrinsic damping against overload and adversarial activity. Together, the three papers define a unified, reproducible computational framework developed and validated using contemporary artificial intelligence tools and standard consumer-grade computing environments. The OASIS Trilogy is intended for academic study, systems research, and practical exploration of efficiency-oriented computational architectures.