360-DQHM: A Phase-Topology-Based Memory Architecture Achieving O(1) Search Complexity at Billion-Entry Scale

We present 360-DQHM (360-Dimensional Dynamic Quanta Hierarchical Memory), a holographic associative memory architecture based on a 360-dimensional complex-valued hypervector space. By encoding key-value pairs as phase-shifted superpositions within a single C³60 vector, the system stores up to 10⁹ entries in only 2, 880 bytes of memory while maintaining constant-time O (1) retrieval at 27-28 µs regardless of dataset size. On an AMD Ryzen 7 5700X CPU (no GPU), empirical evaluation across seven orders of magnitude (10³ to 10⁹) demonstrates 100% retrieval accuracy under the proposed Phase-Resonance Similarity metric.