Gleason from Inside: Certification, Forgery, and the Audit Hierarchy of a Quantum Memory

An interior observer cannot step outside its world to test the quantum probability rule; everything it knows arrives through records written into its own memory. This paper asks what such an observer can certify about the rule from those records alone, within a minimal two-record collision register. Results: the register's complete memory-side statistics (census) in closed form, making it a self-calibrating interior tomograph; an interior Gleason theorem at first order (the audit's response matrix has full rank with kernel exactly the Born-model tangent; the threshold is two records); the global forgery geography (a bounded shell and a lattice stratum pass every identity) with an identity-futility theorem proving this necessary and an exact repair (one PSD condition on a back-action-corrected moment matrix, complete at two records with gauge classified); the completed arena (det M_c = sin^2 phi (1 - |b|^2): one complex PSD condition is physicality plus tomography, its imaginary part the register's measurable complexness); the real-amplitude strike (complexness is credential-relative: cell dimension and readout sharpness; with both enforced, real registers are convicted by the census's zero channels at a dial rate of 0.40 census gap per unit certified sharpness); and a hardware campaign on ibm_kingston in which the audit detected, localized, mechanism-confirmed, and time-tracked a device systematic. Pre-registered throughout; failed predictions ledgered in an appendix.