MST Dark Matter v7 Substrate Coherence Periodicity as a Testable Prediction: A 5 Hz Gravitational Correlation Signature of the Scale-Bridging Kernel

The dark matter problem remains unresolved despite decades of direct detection attempts, motivating exploration of models in which the missing mass is not a particle species but an emergent gravitational effect. The Multi-Simulation Thesis (MST) proposes that dark matter arises from accumulated coherence-maintenance overhead associated with quantum collapse events. In this framework, gravitational dark matter density reflects the integrated history of collapse activity across spacetime rather than the distribution of a localized substance. We formalize this relationship through a scale-bridging integral: rho_DM(r,t) = integral K(r-r', t-t', lambda) * n_collapse(r', t', lambda) dr' dt' d_lambda where n_collapse represents the local density of quantum collapse events and K is the response kernel describing how substrate coherence maintenance propagates gravitational influence across spacetime. A key prediction is that the temporal structure of K should produce measurable gravitational correlations when collapse density becomes sufficiently high: an autocorrelation peak near tau approximately 0.2s and a spectral feature near 5 Hz, present only during high-collapse measurement regimes and absent in controls. The reallocation timescale scales with apparatus coherence length — tau_K(A) ~ l_coherence(A) / v_K — predicting a systematic apparatus spectrum across platforms, with v_K(A) pre-registered as potentially apparatus-dependent if cross-platform extraction yields inconsistent values. We outline a blinded A/B atom-interferometry protocol with pre-experiment baseline verification, extended analysis windows, capacitive coupling controls, cross-platform replication criteria, K(apparatus) and v_K(A) extension pre-registrations, and explicit treatment of measurement backaction including a second-order dynamic kernel extension accounting for history-dependent modification rates. The paper presents an honest map of MST's current theoretical frontiers: what is derived, what is sketched, and what remains open.