Quantum Measurement under AASC

Physical Sources, Finite Detectors, Persistent Records, and Actual Events This paper develops a unified account of quantum measurement under the Admissibility and Standing Constraint (AASC) framework, connecting constructed physical sources, quantum instruments, material amplification, finite record retention, event probabilities, and the actuality of measurement outcomes. The paper distinguishes three separate objects: 1. a complete quantum instrument containing all outcome operations, including unresolved and failed outcomes; 2. a material record carried by a physical system whose acquisition and retention can be analyzed; 3. an actual history describing which occurrences belong to one original experimental run. A complete instrument and a persistent material record can be constructed without assuming that linear quantum dynamics alone selects one globally definite original-run history. Conversely, the admission of an actual event does not by itself determine its probability law or conditional quantum state. The physical construction contains two complementary measurement targets: - a regulated interacting gauge–Higgs–fermion source with its full source Hamiltonian retained during finite receiver pulses; - an explicitly parameterized six-mode cosine circuit with source and pump interfaces, losses, distinguishable outputs, a two-polarization intrinsic-spin receiver, and a finite energy-resolving thermal amplifier. The material-registration chain includes source-code loading, driven conversion, output registration, pump-displacement removal, transfer to an intrinsic material spin, finite Gibbs-collision amplification, endpoint reading, and quiet record retention. Electronic display labels, material flags, missed counts, dark displays, blanks, and unreadable outcomes remain distinct and are retained in the joint error ledger. The paper establishes: - informative bounded receivers on an interacting quantum source; - finite-pulse calibration with the complete source Hamiltonian retained; - a complete monitored detector model; - finite preparation and amplification bounds; - coherent composition of instruments and records; - adaptive record composition; - local-instrument compatibility; - calibrated affine probability uniqueness; - sharp coherent calibration limits; - sequential probability laws and compatible conditional states; - explicit actual-history requirements. A finite Fourier residual certificate bounds the complete monitored detector instrument over its full \(35.587\ \mathrm{ms}\) interval by \(0.063241\) in restricted diamond norm. Exact interval arithmetic gives seeded amplifier endpoint fidelity greater than \(0.9999235242\) after 1,024 finite collisions, together with an explicit conditional survival bound for a subsequent \(100\ \mathrm{ms}\) quiet hold. The probability analysis shows that positivity, density-operator dependence, affinity under classical mixtures, and calibration fix the trace probability rule for the declared readout. Approximate sector calibration alone permits coherent deviations of order the square root of the calibration error; stronger linear bounds require additional structure. The paper’s central measurement-theoretic conclusion is deliberately separated from its successful detector construction. A complete instrument admits an exclusive-history completion, but linear quantum dynamics alone does not select one such history. Source-specific preparation, reader analysis, and a bounded counting-law completion supply the additional physical input required to select an actual history. The resulting framework substantially develops the material and probabilistic parts of quantum measurement while isolating apparatus errors, actual-history l