Technical Announcement: The Self-Organizing Order Book (SOOB)

README: Empirical Validation of O(1) Complexity in SOOB Dataset: UKE_Gradual_Stress_Test.csv Author: Rayan S. Hammad Version: 2.1 (Performance & Complexity Validation) 1. Overview This dataset contains the raw telemetry for the Self-Organizing Order Book (SOOB) during a massive-scale gradual stress test. The objective was to determine if the SOOB's spiral architecture maintains constant-time complexity (O(1)) as volume scales toward 2 billion transactions, bypassing the logarithmic degradation (O(\log N)) inherent in legacy FIFO/PTP tree-based matching engines. 2. Methodology Test Environment: High-frequency execution manifold. Volume Range: 50,000 to 2,000,000,000 transactions. Metric Captured: elapsed_sec (cumulative time) and throughput_tx_ms (transactions processed per millisecond). Logic Applied: Adaptive Manifold with Golden Ratio decay function for order prioritization. 3. Key Observations & Proof of O(1) The data demonstrates that after an initial "geometric alignment" phase (warm-up), throughput stabilizes at a peak of approximately 922,000 tx/ms. Complexity Signature: Unlike legacy systems where throughput drops as the database grows, the SOOB maintains a flat performance curve from $N = 1.2B$ to $N = 2.0B$. This suggests that the cost of placing/matching an order is independent of the total volume in the book. Stability Shocks: Vertical shifts in the time-domain reflect the SOOB's self-reorganization triggers, which ensure market stability and prevent flash-crashing without compromising execution speed. 4. Column Descriptions volume: The total number of transactions processed. elapsed_sec: The cumulative time taken to reach the corresponding volume. throughput_tx_ms: Calculated as $(\Delta Volume / \Delta Time)$ in milliseconds, representing the real-time efficiency of the spiral architecture. 5. Usage for Researchers This data is provided to validate the scalability claims of the SOOB. Researchers can utilize this CSV to model the efficiency of the Hammad-Arrhenius Proof within financial kinetics.