Gravity as a Relativistic Vortex Phenomenon: Rotation-Dependent Gravitational Structuring in a Stress–Energy Field

This record contains the full preprint manuscript “Gravity as a Relativistic Vortex Phenomenon: Rotation-Dependent Gravitational Structuring in a Stress–Energy Field”, together with supporting companion materials. The paper presents a physical interpretation of gravitation in which gravitational attraction arises from stress, pressure gradients, and sustained circulation within an effective relativistic field. While remaining compatible with General Relativity in all tested limits, the framework emphasizes the dynamical role of rotation and angular momentum in shaping gravitational structure. The theory reproduces Newtonian gravity and standard relativistic behavior in weak-field, non-rotating regimes, while offering an alternative interpretation of strong-field and rotating systems such as neutron stars and black holes. A minimal, tightly bounded rotation-dependent extension is introduced to enable falsifiable tests in extreme relativistic environments, with particular emphasis on the Double Pulsar J0737–3039A/B as a clean astrophysical testbed. The work also explores the relationship between rotation-induced field structure and phenomena commonly attributed to dark matter. In this interpretation, a substantial subset of such observations may arise from persistent gravitational field circulation rather than from unseen particulate mass. This discussion is interpretive in nature and does not introduce new particle species or modify General Relativity in tested regimes. Supplementary materials include: A concise observer guide summarizing the core physical picture and testable claims A one-page appendix version of the companion note A technical addendum detailing the mapping to post-Keplerian timing parameters and observational constraints, with particular emphasis on the Double Pulsar system The materials are intended to support peer evaluation, facilitate rapid orientation for readers, and provide transparent linkage between the conceptual framework and existing experimental and astrophysical tests. This record represents a complete and citable preprint intended for open scientific discussion. The preprint is intended for submission to arXiv (gr-qc).