Persistence Scaling Bounds on the Prime Gravitational Manifold: Consistency with the Riemann Hypothesis to One Billion Integers

We measure the scaling behavior of the maximum persistence lifetime Lₘax (N) in the prime gravitational manifold across 18 scales from N = 1, 000 to N = 1, 000, 000, 000 (one billion integers, 50. 8 million primes). The Riemann Hypothesis implies that Lₘax should grow no faster than O (√N·log N), corresponding to a power law exponent of α ≤ 0. 5. We find α = 0. 128 — approximately one quarter of the permitted bound — with the ratio Lₘax/ (√N·log N) decreasing by a factor of 400 across six orders of magnitude. H1 persistence lifetimes actively decrease with N (α = -0. 074). No anomalous persistence features are observed at any scale. The prime gravitational manifold behaves as if all nontrivial zeta zeros lie on the critical line. Fourth paper in the Prime Gravity series.