geometric holographic memory: efficient and error-resilient data storage

We present a novel approach to data storage based on holographic principles that encodes information in geometric structures rather than discrete units. building on recent advances in geometric error correction and holographic duality, we develop a mathematical framework for storing and retrieving information using topological invariants that provide natural error protection. we prove that this approach achieves information preservation without active error correction, leading to inherently robust memory systems. our framework provides explicit constructions for encoding classical and quantum data in geometric structures while maintaining error protection through topological invariance. we demonstrate theoretical bounds showing superior error resistance compared to traditional storage methods, along with practical implementation strategies using current technology.