New Preprint on Local Uniqueness of the Born Rule in Quantum Physics

A new preprint, 'Local Uniqueness of the Born Rule on Categories with Complex-Weighted Morphisms' (arXiv:2608.05197), has been submitted to arXiv. The paper presents a local uniqueness theorem for the Born rule within the framework of small categories equipped with complex morphism weights and path-amplitude probability functionals. It demonstrates that under specific conditions, the probability assignment is uniquely determined to be P(z) = |z|^2. This is a preliminary finding and has not yet been peer reviewed.