(Download full 1st draft paper here)
We present a rigorous stochastic–analytic treatment of the GenI model introduced in “The Source of the Universe” (Genreith, 2024),
which proposes a unified stochastic process underlying quantum measurement and gravitational dynamics. Within a minimal two–level
configuration the model is shown to possess an asymptotic martingale structure (Theorem 1), implying that the normalized amplitude observable obeys the Born probability law purely
as a consequence of its internal stochastic drift cancellation. A second result (Theorem 2) establishes, under a density–dependent scaling
regime `a la Ethier–Kurtz, the convergence of the discrete GenI chain to a deterministic ordinary differential equation