This paper establishes the formal framework for Actualization Dynamics, a unified spectral theory that replaces the local differential equations of General Relativity with a nonlocal, nonlinear integral response known as the AD Einstein Equation. By deriving the gravitational field from a discrete 5, 4 hyperbolic stabilizer code, the study demonstrates how the fundamental interactions of gravity emerge from the informational workload and error-correction overhead of a discrete substrate. The AD Einstein Equation is shown to be naturally ghost-free and UV-regularized, effectively resolving the singularities found in classical black hole geometries while maintaining infrared equivalence to standard gravitational theory. Beyond theoretical consistency, the paper shows that the spectral density of the underlying network provides a parsimonious explanation for galactic rotation curves, eliminating the need for ad-hoc dark matter particles by identifying the observed gravitational offsets as a universal property of the spectral gap. This work offers a structurally coherent alternative to the standard cosmological model, complete with a definitive empirical test through predicted log-periodic oscillations in the cosmic microwave background.
Cory Keller (Fri,) studied this question.