Emergent Gravity from Quantum Error Correction: Entanglement, Informational Nonequilibrium, and Experimental Signatures

We present a refined framework for the holographic emergence of linearized gravity, building upon earlier ideas that spacetime dynamics originate from entanglement entropy and quantum error-correcting codes. By employing explicit calculations in conformal field theory toy models and the Wald entropy formalism, we derive the linearized Einstein equations as consistency conditions of the first law of entanglement entropy. We further establish quantitative measures to characterize the resilience of holographic QECC lattices against local perturbations, providing a natural mechanism for ultraviolet cutoffs and singularity avoidance. On the experimental side, we propose a practical data acquisition framework based on AIoT device interfaces and precision clock networks, enabling systematic collection of time synchronization drift and displacement noise. These signals can be cross-correlated across multiple detectors to distinguish Planck-scale holographic noise from instrumental backgrounds. Our results demonstrate that spacetime stability and gravitational dynamics can be understood as emergent phenomena rooted in robust information-theoretic principles.