Note: This work presents the Author’s Original Manuscript; the formal treatise has been submitted to a peer-reviewed journal and posted as a preprint. 23-May-2026. Projective Representation of Residual Kinematic Anomalies in the May 2026 PURSUE UFO Dataset (May 2026 PURSUE Dataset, Tranche I and II) Juliet Zhong Independent Researcher, London, United Kingdom Orcid: 0009-0006-5099-3671 ABSTRACT The United States Department of Defense (DoD) released two tranches of declassified UFO materials under the Presidential Unsealing and Reporting System for UAP Encounters (PURSUE): Tranche I on 8 May 2026 (161 files) and Tranche II on 22 May 2026 (51 videos, documents, and audio recordings). These datasets contain multi-platform infrared and electro-optical tracking records exhibiting kinematic and morphological features that resist coherent description within standard three-dimensional dynamical frameworks, including rigid-body mechanics, fluid interaction mod...