Emergent Spacetime from Observer-Relative Quantum Entanglement

We present a framework in which classical spacetime geometry and gravitational dynamics emerge from relational quantum entanglement of discrete geometric degrees of freedom. Building on the principles of relational quantum mechanics, we show that each observer perceives a definite classical geometry only after local decoherence of geometric degrees offreedom. The resulting classicalized adjacency graph encodes curvature via boundary entanglement, defines geodesic paths through entanglement extremization, and captures tidal effects through entanglement gradients. In the continuum limit, this framework reproducesthe Riemannian structure of spacetime and linearized Einstein equations, providing an operational derivation of the equivalence principle and gravitational dynamics from underlying quantum correlations. A minimal five-node toy model is presented to illustrate these concepts explicitly. Our approach unifies relational quantum mechanics, quantum information, and emergent gravity, offering a concrete pathway towards understanding the quantum origins of spacetime.