We introduce a new non-perturbative framework for quantum gravity based on the concept of causal memory. At its core, the theory proposes that a hidden sector, coupled to observable fields, generates a uniquely defined memory kernel — one strictly constrained by causality and Lieb-Robinson bounds — over a discretized Planck-scale pixel network. In the low-energy limit, this leads naturally to a telegraph-type dynamics, which can be recast into the Klein-Gordon form via an appropriate dephasing transformation. A central result of this work is the mass-memory identity, which suggests that mass emerges as a consequence of finite causal response time. This relation is established as a mathematical theorem, independently derived through ten distinct lines of reasoning — ranging from quantum mechanics to black hole physics. Beyond theoretical consistency, the framework makes testable predictions that are within reach of current technology. These include a coherent gravitational-wave signal persisting after black hole ringdown, an analytic Page curve for black hole evaporation, and an entropy formula with explicit finite-size corrections. A key strength of this work lies in its full reproducibility. We provide ready-to-run Python scripts for gravitational-wave data analysis, memory field simulations, and pixel spectral-gap calculations — all supported by transparent pass/fail criteria. The framework also connects directly to the Informational Pixel Field (IPF) approach, which emphasizes cosmological scales. Both share the same underlying mass-memory principle. We believe this work is now poised for experimental scrutiny — through current-generation gravitational-wave detectors and precision lab setups — and offers a new path toward understanding the quantum nature of gravity. Full paper available at:Lahtee, Y. (2025). Quantum Gravity from Causal Memory (QGCM) v5.1. Zenodo. https://doi.org/10.5281/zenodo.17895865