MA-RDAM - Relative Displacement Access Memory (RDAM) and Multi-Access RDAM (MA-RDAM): A Hierarchical Variational Discrete Framework

This work introduces a complete mathematical framework termed Relative Displacement Access Memory (RDAM) together with its multi-focal extension MA-RDAM. The model defines a hierarchical discrete dynamical system based on relative displacement addressing over a locally Hilbertian metric space. The geometry of the state space is not assumed a priori but induced by admissible transitions themselves. The framework relies on six independent axioms: locality of transitions, discrete relative addressing, occupation exclusion, hierarchical self-similarity, multi-scale variational coherence, and involutive spectral duality. The model establishes attractor theory, spectral classification, invariant measures, bounded…