Constraints on Rotation-Dependent Gravitational Sourcing from the Double Pulsar

This record presents a quantitative constraint on the rotation-dependent gravitational sourcing term introduced in the companion manuscript “Gravity as a Relativistic Vortex Phenomenon: Rotation-Dependent Gravitational Structuring in a Stress–Energy Field.” Using the 16-year timing solution of the Double Pulsar system PSR J0737–3039A/B, the note derives a conservative bound on the dimensionless rotation-dependent amplitude parameter and associated source susceptibility factors. The constraint is obtained by requiring any additional contribution to the secular periastron advance to remain within the published observational uncertainty. The analysis explicitly identifies the relevant spin regime of the Double Pulsar, showing that both components lie well within the low-spin gravitational regime compared with rapidly rotating black holes. Accordingly, the derived bound constrains rotation-dependent effects in compact, weakly rotating binaries, while not directly probing large-scale or long-lived collective rotational phenomena. This note is intended as a falsification-oriented consistency check rather than a test of galactic-scale dynamics. It complements the main manuscript by delineating the parameter space permitted by current precision timing observations, and by clarifying the regime of applicability of rotation-dependent phenomenological extensions of relativistic gravity. The record is provided as a standalone, citable companion for open scientific discussion.