Gravity-quantum closure arc
Admissibility Forces Hilbert Geometry and Schrodinger-Form Dynamics
Title: Admissibility Forces Hilbert Geometry This paper proves that Hilbert space geometry is a structural consequence of admissibility constraints applied to compositional predictive systems. Starting from minimal assumptions - continuity, ray-invariance, independent composition, Standing Conservation, and the exclusion of hidden carriers and free tunings - we show that any admissible standing-weight functional must be quadratic. This forces the parallelogram identity and, by the Jordan-von Neumann theorem, uni...