Computational Holography Hypothesis: Deterministic Foundations and Observer-Limited Quantum Emergence

We propose the Computational Holography Hypothesis (CHH), a frameworkunifying deterministic computation, holographic information encoding, and observerinducedepistemic constraints to explain the emergence of quantum mechanics (QM).Through 1D, 2D, and 3D cellular automata (CA) simulations, we demonstrate howobserver-limited access to a deterministic substrate generates quantum-like phenomena—including entanglement analogs (via correlated initial seeds) and decoherence (viamutual information decay). CHH posits that QM’s probabilistic nature arises fromgeometric information bottlenecks at causal boundaries, offering a pathway to reconcilelocality with apparent nonlocality. Our simulations show that local entropyfluctuations mirror Born rule probabilities, while observer-window dynamics reproducemeasurement collapse. This work suggests QM is an effective theory of a deeper,computationally irreducible reality.