ICC XIX: Quantum Gravity from Stochastic Copying Dynamics

We derive quantum gravity from the stochastic copying dynamics of simplicial defects in the Information-Copying Cosmology framework. The emergent metric field gµν(x) arises from f luctuations in the local copying rate H(x,t), with the Einstein–Hilbert action generated by the Martin–Siggia–Rose (MSR) path integral. The effective action takes the form: Seff = 1 16πG d4x√ −gR+ d4x√ −g −1 2∂µϕ∂µϕ−V(ϕ)+... , where the Newton constant is expressed in fundamental copying parameters: G = a2c3C/ℏeff. For a minimal copying unit a = ℓP and ℏeff = ℏ, this reproduces the experimental value with 0.06% accuracy. Quantum fluctuations of the copying operator produce a stochastic gravitational wave background with spectral shape ΩGW(f) ∼ (f/f∗)0 at low frequencies, transitioning to ΩGW(f) ∼ (f/f∗)3 at high frequencies due to finite defect correlation length. We predict a tensor-to-scalar ratio r < 10−3, testable by LiteBIRD and CMB-S4, and a stochastic GW background accessible to LISA and DECIGO in the mHz–Hz band. The framework is UV-complete by construction (discrete substrate) and reproduces classical GR in the infrared limit. This work establishes gravity as an emergent phenomenon of information copying, providing a falsifiable roadmap for quantum gravity.