Quantum theory, gauge fields, and general relativity traditionally rest on independent foundations. This paper argues that they can be understood within a unified logical framework when the Self-Consistent Reference Frame Principle (RCC) and causality are applied to a local Hilbert-space framework. The unifying object is the comparator U₈₉, which translates states between sites. In gauge theory it becomes the parallel transporter yielding the Yang-Mills action; in quantum mechanics it forces the Born rule through a functional equation without Gleason's theorem; in gravity it becomes the Levi-Civita connection giving the Einstein-Hilbert action via Lovelock's theorem. Among the nine theorems and two lemmas, the Phase Unity Theorem establishes that the comparator Schur phase, the gauge transformation parameter, and the quantum global phase are structural correspondences of a single U (1) symmetry. The Coleman-Mandula separation of internal and spacetime symmetries follows from RCC as a consequence of distinct encoding schemes. The Higgs mechanism emerges as a corollary: RCC prohibits bare mass terms for gauge fields. The framework yields one parameter-free falsifiable prediction: a pattern of SMEFT Wilson coefficients that can be tested at colliders, albeit with current precision limitations.
Zhengming Tang (Thu,) studied this question.