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 (ₕ₏ 2. 3), non-resonant network routing via Fibonacci geometry (), 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.