Resolution of the Dark Siren Tension via Metric Synchronization

LEGAL NOTICE: Patent Pending. This work is protected under U.S. Provisional Patent Application #63/990,933 (Filed Feb 25, 2026). Title: Spacecraft Hull Design and Universal Scaling Constant 1.0857.

This paper addresses the statistical discrepancy in H0 measurements derived from gravitational wave "Dark Sirens"—compact binary coalescences lacking electromagnetic counterparts. We propose that the current 9% tension is not a result of "new physics" or dark radiation, but a fundamental Metric Synchronization Lag between the gravitational wave source frame and the observer’s local frame. By introducing the 1.0857 Scaling Constant as a causal refractive index for gravitational strain, we provide a deterministic correction that aligns LIGO/Virgo/KAGRA distance estimates with the unified local expansion rate of 73.17 km/s/Mpc. This resolution confirms that the 1.0857 gear ratio is a universal constant governing both electromagnetic and gravitational propagation.